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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0b5f0e96c66f1fe8afca6f37edd06ab2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [21, 22], "expectation_value": -5.499900322692359, "params": null, "bitstrings": ["1101010", "1101001"], "total_optimization_steps": 30, "probabilities": [1.7187860834351576e-05, 0.9999500705847443], "optimization_time": 26.658385515213013} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(-1.4449) q[6];
ry(1.4417) q[2];
ry(1.4417) q[4];
ry(1.4384) q[5];
cry(-0.1259) q[5], q[6];
cry(-0.1259) q[4], q[3];
cry(0.1246) q[4], q[5];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-6321735258222449659 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5], [5, 7], [2, 4], [3, 7], [4, 7], [0, 6], [2, 7], [0, 5], [1, 2, 3], [0, 4], [4, 6], [0, 1, 2], [0, 3], [1, 2, 6]]} | {"states": [201, 62], "expectation_value": -0.16046125590681393, "params": [[-0.0771], [0.0787]], "bitstrings": ["00110110", "11000001"], "total_optimization_steps": 10, "probabilities": [0.00462886712764647, 0.00465104080319737], "optimization_time": 0.777198076248169} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6666666666666683, "smallest_bitstrings": ["11000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(-0.0257) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0257) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0257) q[5];
cx q[1], q[5];
cx q[4], q[7];
rz(-0.0771) q[7];
cx q[4], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
c1d9081f426eb25143fb28fcb61c6832 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [359, 295], "expectation_value": -74.35137665247453, "params": [0.9991000000000001, 0.1893, 0.24020000000000002, 0.4046, 0.5109, 0.36300000000000004, 0.9938, 0.0021000000000000003, 0.0022, 0.7527, 0.0041, 0.6118, 0.9842000000000001, -0.0028, 0.9961000000000001, 0.0074, 0.9821000000000001, 0.02590000000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 23.0 * Z(0) + 3.5 * Z(1) + 9.0 * Z(3) + 16.0 * Z(2) + 16.0 * Z(6) + 1.5 * Z(7) + -5.5 * Z(5) + 15.0 ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["011011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9991) q[0];
rz(0.1893) q[0];
rx(0.2402) q[1];
rz(0.4046) q[1];
rx(0.5109) q[2];
rz(0.363) q[2];
rx(0.9938) q[3];
rz(0.0021) q[3];
rx(0.0022) q[4];
rz(0.7527) q[4];
rx(0.0041) q[5];
rz(0.6118) q[5];
rx(0.9842) q[6];
rz(-0.0028) q[6];
rx(0.9961) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 1.7182233333587646} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(1.5708) q[2];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... |
c27e04a1b516da945dec2e0c25bb156f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -3.876287423497805, "params": [[0.0592, -0.1222], [-0.1199, 0.116]], "bitstrings": ["111111110", "101111110"], "total_optimization_steps": 20, "probabilities": [0.009401130190536174, 0.009784441937792498], "optimization_time": 9.4728262424469} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[0];
rz(-0.0592) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.2072) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.148) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.1184) q[1];
cx q[6], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e2d42d54466cad0e47a576fec07e2be9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -55.867314533174984, "params": [0.29700000000000004, 0.23870000000000002, 0.7885000000000001, -0.0048000000000000004, 0.7896000000000001, 0.058800000000000005, 0.3567, 0.2106, 0.7815000000000001, -0.0063, 0.7864, 0.0888, 0.3919, 0.19260000000000002, 0.7847000000000001, 0.0618... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.297) q[0];
rz(0.2387) q[0];
rx(0.7885) q[1];
rz(-0.0048) q[1];
rx(0.7896) q[2];
rz(0.0588) q[2];
rx(0.3567) q[3];
rz(0.2106) q[3];
rx(0.7815) q[4];
rz(-0.0063) q[4];
rx(0.7864) q[5];
rz(0.0888) q[5];
rx(0.3919) q[6];
rz(0.1926) q[6];
rx(0.7847) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
196315b726206c16207648eaa35c0326 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 8}, {"source": 3, "target": 4}, {"source": 3, "target": 8}, {"sour... | {"states": [238, 430], "expectation_value": -4.742338523270749, "params": [[[0.4847, -0.006900000000000001, 0.009600000000000001, 0.0078000000000000005], [0.6905, 0.115, 0.32680000000000003, 0.0015], [-0.2399, -0.018600000000000002, 0.003, -0.019], [0.6279, 0.0071, 0.8124, 0.0], [0.0036000000000000003, 0.0682, 0.007200... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(8) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 12 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["001010001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4847) q[0];
rz(-0.0069) q[0];
ry(0.6905) q[1];
rz(0.115) q[1];
ry(-0.2399) q[2];
rz(-0.0186) q[2];
ry(0.6279) q[3];
rz(0.0071) q[3];
ry(0.0036) q[4];
rz(0.0682) q[4];
ry(0.7682) q[5];
rz(-0.0013) q[5];
ry(-0.4966) q[6];
rz(0.0028) q[6];
ry(0.4673) 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": []} |
5107978330285048660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3], [0, 1, 5], [2, 3], [0, 1, 2, 4], [1, 3, 4, 5], [0, 2, 5], [0, 3, 4]]} | {"states": [27, 58], "expectation_value": -0.773385516788287, "params": [[0.27340000000000003], [-0.2723]], "bitstrings": ["100100", "000101"], "total_optimization_steps": 30, "probabilities": [0.02969014063935814, 0.030690686780503525], "optimization_time": 1.1106786727905273} | 0.41666666666666663 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666667, "smallest_bitstrings": ["000101"]} | 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(0.2278) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1367) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1823) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.1367) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.1823... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | edge_cover | qaoa | {"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": [213, 118], "expectation_value": -0.0545818100547778, "params": [[-0.0264, 0.026500000000000003, 0.051300000000000005, 0.0086], [0.0531, 0.0025, -0.039400000000000004, -0.0275]], "bitstrings": ["00101010", "10001001"], "total_optimization_steps": 10, "probabilities": [0.004307129178598334, 0.0043071291785983... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | 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(-0.0132) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0132) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0132) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0132) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
36bc612e0322886e175cda5a18a8b6d9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [242, 122], "expectation_value": -10.458964783816732, "params": [[-0.0351], [0.0644]], "bitstrings": ["00001101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006597307524939979, 0.006916140287872975], "optimization_time": 1.9780573844909668} | 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(0) @ Z(4)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 20.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "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[4];
rz(-0.3159) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(-0.3159) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(-0.3159) q[0];
cx q[4], q[0];
cx q[1], q[3];
rz(-0.3159) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[4];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
5f79bb35bd8dc69bae5409f6ad22880d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -12.78833675817647, "params": [[-0.0345], [0.0804]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0040424253576768114, 0.004569325331640214], "optimization_time": 2.049429416656494} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3105) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3105) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3105) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3105) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
15c9cf379682fc2ae7cd2865e5790ded | 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": [980, 468], "expectation_value": -82.59570244215753, "params": [0.7515000000000001, -0.3191, 1.3959000000000001, -0.023200000000000002, 1.4002000000000001, 0.0015, 1.3937000000000002, 0.23390000000000002, 0.7484000000000001, 0.4224, 1.4033, 0.21300000000000002, 0.5859, 0.3754, 1.401, 0.0405, -0.0031000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 14.5 * Z(2) + 20.0 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7515) q[0];
rz(-0.3191) q[0];
rx(1.3959) q[1];
rz(-0.0232) q[1];
rx(1.4002) q[2];
rz(0.0015) q[2];
rx(1.3937) q[3];
rz(0.2339) q[3];
rx(0.7484) q[4];
rz(0.4224) q[4];
rx(1.4033) q[5];
rz(0.213) q[5];
rx(0.5859) q[6];
rz(0.3754) q[6];
rx(1.401) 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]}"} | {"circuits": [], "gradients": []} |
cba3c0f3028bedd24c97c562399fe60f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -12.05337476454533, "params": null, "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.26693860846756895, 0.4113682666829968], "optimization_time": 79.6927740573883} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[0];
cry(-1.5708) q[3], q[5];
cry(-1.57) q[6], q[2];
ry(1.0882) q[6];
cry(-1.5707) q[4], q[1];
ry(1.0467) q[4];
ry(-0.4466) q[2];
ry(-0.3752) q[1];
ry(0.5885) q[5];
cry(-0.6355) q[5], q[3];
c... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [48, 12], "expectation_value": -1.5964871060514998, "params": [[0.0722, 0.054900000000000004, 0.0385], [-0.0844, -0.0584, -0.0419]], "bitstrings": ["1001111", "1110011"], "total_optimization_steps": 10, "probabilities": [0.012775290596321263, 0.013529683856361907], "optimization_time": 5.15213418006897} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 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(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"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": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"]} | 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(0.0722) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0722) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0722) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0722) q[4];
cx q[1], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [12, 13], "expectation_value": -1.520451548910759, "params": [0.0011, 0.4766, 0.5929, 0.004, 1.9551, 0.0, -0.0034000000000000002, 0.9921000000000001, 1.665, 0.0039000000000000003, 0.0011, 1.6782000000000001, 1.0995000000000001, -0.0032], "bitstrings": ["10011", "10010"], "total_optimization_steps": 210, "pro... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 4 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0011) q[0];
rz(0.4766) q[0];
rx(0.5929) q[1];
rz(0.004) q[1];
rx(1.9551) q[2];
rz(0) q[2];
rx(-0.0034) q[3];
rz(0.9921) q[3];
rx(1.665) q[4];
rz(0.0039) q[4];
crx(-0.0032) q[4], q[3];
crx(1.0995) q[3], q[2];
crx(1.6782) q[2], q[1];
crx(0.0011) q[1], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-7592907852367266095 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 7], [0, 3], [4, 5], [4, 7], [1, 3], [0, 7], [0, 5], [1, 5], [2, 4], [2, 6], [2, 3], [4, 6], [3, 4]]} | {"states": [0, 232], "expectation_value": 0.3141638269530037, "params": [0.6092000000000001, 0.0022, 0.6005, 0.0034000000000000002, 0.6021000000000001, 0.0016, 0.6061000000000001, 0.0024000000000000002, 0.6065, -0.0028, 0.5989, 0.0076, 0.6054, -0.0061, 0.6027, 0.0071, 0.6011000000000001, 0.0025, 0.6009, 0.0073, 0.6085,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) +... | 6 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["11101000", "00010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6092) q[0];
rz(0.0022) q[0];
rx(0.6021) q[1];
rz(0.0016) q[1];
rx(0.6065) q[2];
rz(-0.0028) q[2];
rx(0.6054) q[3];
rz(-0.0061) q[3];
rx(0.6011) q[4];
rz(0.0025) q[4];
rx(0.6085) q[5];
rz(-0.0023) q[5];
rx(0.6003) q[6];
rz(0.0038) q[6];
rx(0.6021) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 22], "expectation_value": -3.496398041568179, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 25, "probabilities": [0.06635196634142619, 0.930327020293955], "optimization_time": 16.723056077957153} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-1.0342) q[4], q[5];
ry(0.7003) q[4];
cry(-0.1259) q[3], q[0];
ry(-0.4549) q[5];
cry(0.4962) q[3], q[4];
cry(-0.3788) q[3], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8fcf50f85ec3dd02c0199581a34889e9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [1020, 1011], "expectation_value": -0.645581731347523, "params": [[-0.06430000000000001], [0.0699]], "bitstrings": ["0000000011", "0000001100"], "total_optimization_steps": 10, "probabilities": [0.0013628379976701284, 0.0013628379976701288], "optimization_time": 2.0372681617736816} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(6) + -1.5 * Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000001111", "0000000011", "0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1929) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0643) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2572) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0643) 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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
... | {"node": 7} | {"circuits": [], "gradients": []} |
29004bac2fe574e2f5aabd6e5bd80baf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [113, 625], "expectation_value": -8.510582061229764, "params": [[[1.6025, 0.0048000000000000004, 0.0017000000000000001, 0.0046], [0.0026000000000000003, 0.7028, 0.0019, 0.0014], [-0.0032, 0.0024000000000000002, 0.0073, 0.007200000000000001], [0.6343, 0.0023, 1.2591, 0.0008], [1.599, 0.0035, 0.002400000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["0110001110", "0100001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.6025) q[0];
rz(0.0048) q[0];
ry(0.0026) q[1];
rz(0.7028) q[1];
ry(-0.0032) q[2];
rz(0.0024) q[2];
ry(0.6343) q[3];
rz(0.0023) q[3];
ry(1.599) q[4];
rz(0.0035) q[4];
ry(0.3821) q[5];
rz(0.0115) q[5];
ry(0.003) q[6];
rz(0.0058) q[6];
ry(-0.0029) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5d757bdb9520d74b88797f6c51e8e41f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [52, 53], "expectation_value": -3.712076563319181, "params": [[[0.0048000000000000004, 0.23500000000000001], [0.0187, 0.22160000000000002], [0.49910000000000004, -0.0009000000000000001], [0.5014000000000001, 0.0037], [-0.0176, -0.2523], [0.5013000000000001, 0.0029000000000000002], [0.29150000000000004, 0.092... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["11001001", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0048) q[0];
rz(0.235) q[0];
rx(0.0187) q[1];
rz(0.2216) q[1];
rx(0.4991) q[2];
rz(-0.0009) q[2];
rx(0.5014) q[3];
rz(0.0037) q[3];
rx(-0.0176) q[4];
rz(-0.2523) q[4];
rx(0.5013) q[5];
rz(0.0029) q[5];
rx(0.2915) q[6];
rz(0.0921) q[6];
rx(0.4944) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2037c68aca19f83c01748f0e59e08f2f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2044, 2047], "expectation_value": -11.268824428464379, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.12346969832224386, 0.3704509157605586], "optimization_time": 230.76722717285156} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[5], q[8];
ry(1.056) q[5];
cry(1.5707) q[5], q[6];
cry(1.5706) q[1], q[0];
cry(1.5701) q[8], q[7];
cry(0.4073) q[7], q[8];
cry(1.5681) q[4], q[3];
ry(1.0829... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
9018084878276581674 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 3], [0, 2]]} | {"states": [18, 24], "expectation_value": -0.031192416878079277, "params": [[0.06910000000000001], [-0.0766]], "bitstrings": ["01101", "00111"], "total_optimization_steps": 10, "probabilities": [0.033230100111850416, 0.033230100111850416], "optimization_time": 0.8159139156341553} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["11000", "10010", "00111", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.0691) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.0691) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(0.0691) q[2];
cx q[0], q[2];
rz(0) q[4];
rz(0) q[0];
rz(0) q[3];
rz(0) q[1];
rz(0) q[2];
h q[0];
rz(-0.1532)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
rz(x1) q[4];
rz(x1) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
-2461288759815049749 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6, 7], [0, 1, 4, 5, 7], [0, 1, 2, 4, 6], [1, 2, 4, 5, 6], [0, 3]]} | {"states": [91, 125], "expectation_value": -0.6522991364991509, "params": [[-0.4163], [0.4179]], "bitstrings": ["10100100", "10000010"], "total_optimization_steps": 50, "probabilities": [0.01018281983261773, 0.010221892817848776], "optimization_time": 2.154147148132324} | 0.21666666666666667 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(7)) + 0.1 * (Z(1) @ Z(6)) + 0.1 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(7)) + 0.1 * (Z(1) @ Z(0)) + 0.1 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(5)) + 0.05... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.4333333333333331, "smallest_bitstrings": ["01110001", "001110... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[5];
rz(-0.1804) q[5];
cx q[6], q[5];
cx q[6], q[7];
rz(-0.1388) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-0.1804) q[7];
cx q[5], q[7];
cx q[6], q[0];
rz(-0.0416) q[0];
cx q[6], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [46, 39], "expectation_value": -5.4998990634603295, "params": null, "bitstrings": ["1010001", "1011000"], "total_optimization_steps": 35, "probabilities": [1.6414459407698138e-05, 0.9999303761362124], "optimization_time": 27.82280468940735} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.4449) q[3];
ry(1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[6];
ry(1.4417) q[5];
cry(-0.1259) q[6], q[3];
cry(0.1217) q[4], q[5];
cry(0.1216) q[5], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5bdb4f57734384bf2a68859dd05ed4fb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [100, 108], "expectation_value": -1.6049028585777336, "params": [-0.0027, 0.0068000000000000005, 1.6067, 0.0097, 1.6059, 0.0036000000000000003, 0.0022, 0.0018000000000000002, 1.5983, 0.0018000000000000002, 1.6109, 0.0054, 1.2875, 0.0082, 1.2575, 0.0033, 0.0071, 0.0039000000000000003, 0.00030000000000000003, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["11010010", "10010011", "10011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(0.0068) q[0];
rx(1.6067) q[1];
rz(0.0097) q[1];
rx(1.6059) q[2];
rz(0.0036) q[2];
rx(0.0022) q[3];
rz(0.0018) q[3];
rx(1.5983) q[4];
rz(0.0018) q[4];
rx(1.6109) q[5];
rz(0.0054) q[5];
rx(1.2875) q[6];
rz(0.0082) q[6];
rx(1.2575) 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": []} |
a7c1a2a930dec981f8dd952025d25fae | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [146, 178], "expectation_value": -4.3039688384630646, "params": [0.133, 0.1305, 0.5072, 0.5087, 0.0037, 0.0028, 0.48140000000000005, 0.4848, 0.5067, 0.5011, 0.0155, 0.0108, 0.019700000000000002, 0.0179, 0.5077, 0.502, -0.0057, -0.0, 0.13290000000000002, 0.1257, 0.5017, 0.5062, 0.0004, -0.0026000000000000003,... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + -1.0 * Z(6) + -0.5 * Z(0) + -0.5 * Z(7) + -1.5 * Z(2) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["010100111", "101101001", "111100001", "110100011", "101001101", "001011110", "001001111", "101011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.133) q[0];
ry(0.5072) q[1];
ry(0.0037) q[2];
ry(0.4814) q[3];
ry(0.5067) q[4];
ry(0.0155) q[5];
ry(0.0197) q[6];
ry(0.5077) q[7];
ry(-0.0057) q[8];
crz(0.2627) q[8], q[0];
crz(0.0034) q[7], q[8];
crz(0.2299) q[6], q[7];
crz(0.2261) q[5], q[6];
crz(-0.0015... | OPENQASM 3.0;
include "stdgates.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": []} |
3752093b82ed107b6f6f5e75324b3162 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 119], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10000000", "10001000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 76.59700727462769} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"]} | 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(1.5681) q[3];
cry(1.5486) q[3], q[5];
cry(1.5486) q[5], q[6];
ry(1.5681) q[2];
ry(1.4447) q[1];
cry(1.5481) q[1], q[7];
cry(-1.5483) q[7], q[0];
cry(0.0892) q[2], q[1];
ry(0.0158) q[5];
ry(0.02... | 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(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-6367354658528652707 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 4, 7], [0, 2, 7], [3, 6], [1, 2, 3, 4, 7], [2, 5]]} | {"states": [85, 213], "expectation_value": -1.0253041949557054, "params": [[[1.6052000000000002, 0.007, 0.0038, 0.001], [0.398, 0.0033, 1.5266000000000002, 0.0098], [-0.006, 0.0026000000000000003, 0.0022, 0.0058000000000000005], [0.8816, 0.0026000000000000003, 1.1343, 0.00030000000000000003], [0.1501, 0.0071, 0.0028, 0... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.21666666666666667 * (... | 12 | 8 | 1 | {"smallest_eigenvalues": [-1.7833333333333337, -1.7833333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.7833333333333332, "smallest_bitstrings": ["00101010", "01100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.6052) q[0];
rz(0.007) q[0];
ry(0.398) q[1];
rz(0.0033) q[1];
ry(-0.006) q[2];
rz(0.0026) q[2];
ry(0.8816) q[3];
rz(0.0026) q[3];
ry(0.1501) q[4];
rz(0.0071) q[4];
ry(0.4768) q[5];
rz(-0.0031) q[5];
ry(-0.0021) q[6];
rz(0.009) q[6];
ry(1.6059) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 77.84537053108215} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 15.82285213470459} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"]} | 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(-1.5486) q[1];
ry(-1.5486) q[3];
ry(-1.5486) q[5];
ry(1.4448) q[4];
ry(1.4447) q[2];
ry(1.4447) q[0];
cry(0.1189) q[4], q[0];
cry(0.119) q[0], q[2];
cry(0.1187) q[2], q[4];
cry(-0.0222) q[4], q[3];
cry(-0.0222... | 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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
74fac64ced95adb2031c8f632fdb5d7f | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [249, 185], "expectation_value": -2.588594063578063, "params": [[[0.0027, 0.8863000000000001], [0.387, -0.395], [1.1991, 0.004200000000000001], [0.7069000000000001, 0.24200000000000002], [1.1976, 0.0044], [0.9051, -0.0396], [1.208, 0.0044], [0.0027, 0.7452000000000001], [0.1524, -0.5259], [1.2039, -0.003]], ... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(2))... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100010110", "1100001110", "1100000111", "1100100101", "1110000101", "1010010110", "1010010101", "1001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0027) q[0];
rz(0.8863) q[0];
rx(0.387) q[1];
rz(-0.395) q[1];
rx(1.1991) q[2];
rz(0.0042) q[2];
rx(0.7069) q[3];
rz(0.242) q[3];
rx(1.1976) q[4];
rz(0.0044) q[4];
rx(0.9051) q[5];
rz(-0.0396) q[5];
rx(1.208) q[6];
rz(0.0044) q[6];
rx(0.0027) 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": []} |
bba2e06053fa3c8a9a710a4bd3703eb1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [48, 51], "expectation_value": -5.499934084013951, "params": null, "bitstrings": ["1001111", "1001100"], "total_optimization_steps": 33, "probabilities": [1.3834661288391691e-05, 0.9999481826822721], "optimization_time": 25.784983158111572} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4449) q[5];
cry(0.1187) q[5], q[6];
cry(0.1188) q[6], q[2];
cry(0.1188) q[2], q[1];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"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": -4.576045527116833, "params": [[-0.14120000000000002, -0.0333, 0.11420000000000001], [0.1723, 0.1139, 0.027700000000000002]], "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [0.04201021778637168, 0.050548028420961726], "optimization_time": 3... | 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 | 3 | {"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];
cx q[1], q[0];
rz(-0.2542) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.5083) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2542) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.0282) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
94b4685949b0232e6f45bdcd5b80e7ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [356, 358], "expectation_value": -2.986450042066881, "params": [[[0.3748, -0.0043, 0.0077, 0.0056], [0.0015, 0.030600000000000002, 1.5393000000000001, 0.0038], [1.5248000000000002, 0.004200000000000001, 0.12050000000000001, 0.067], [0.0714, -0.0019, 1.4949000000000001, 0.0033], [1.1389, 0.029900000000000003,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["100010011", "001011010", "011011000", "001010110", "010011001", "101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3748) q[0];
rz(-0.0043) q[0];
ry(0.0015) q[1];
rz(0.0306) q[1];
ry(1.5248) q[2];
rz(0.0042) q[2];
ry(0.0714) q[3];
rz(-0.0019) q[3];
ry(1.1389) q[4];
rz(0.0299) q[4];
ry(1.0551) q[5];
rz(-0.0891) q[5];
ry(-0.157) q[6];
rz(-0.2583) q[6];
ry(0.1273) 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": []} |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3, 66], "expectation_value": -5.411631293733467, "params": null, "bitstrings": ["1111100", "0111101"], "total_optimization_steps": 20, "probabilities": [0.060126454979050156, 0.7888190124847682], "optimization_time": 16.15819525718689} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 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(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"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": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[6];
cry(-1.0343) q[5], q[2];
ry(0.7003) q[5];
ry(0.7003) q[0];
ry(-0.4549) q[6];
ry(-0.4549) q[2];
cry(0.4578) q[5], 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
16efd0d1722058bdcecd0a47f621047a | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [204, 205], "expectation_value": -1.133046465282131, "params": [1.0063, 0.15080000000000002, 0.8528, 0.2803, 0.6121, 0.2629, 0.0021000000000000003, 0.7386, 1.0064, 0.0021000000000000003, 0.9537, 0.18050000000000002, 0.6062000000000001, 0.21960000000000002, 0.8304, 0.2069, 1.0024, 0.0097, 0.8452000000000001, ... | 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)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(2))... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010001", "00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0063) q[0];
rz(0.1508) q[0];
rx(0.8528) q[1];
rz(0.2803) q[1];
rx(0.6121) q[2];
rz(0.2629) q[2];
rx(0.0021) q[3];
rz(0.7386) q[3];
rx(1.0064) q[4];
rz(0.0021) q[4];
rx(0.9537) q[5];
rz(0.1805) q[5];
rx(0.6062) q[6];
rz(0.2196) q[6];
rx(0.8304) 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": []} |
1864592720b05b8d956573b849e23700 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 20, "source... | {"states": [218, 210], "expectation_value": -46.58926726855316, "params": [-0.0026000000000000003, 0.006900000000000001, 3.0939, 0.0055000000000000005, 3.0968, 0.0006000000000000001, 0.0019, 0.006500000000000001, 3.0954, 0.00030000000000000003, 1.4759, 0.00030000000000000003, -0.002, 0.009000000000000001, 3.08600000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) +... | 3 | 9 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.5, "smallest_bitstrings": ["100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0026) q[0];
rz(0.0069) q[0];
rx(3.0939) q[1];
rz(0.0055) q[1];
rx(3.0968) q[2];
rz(0.0006) q[2];
rx(0.0019) q[3];
rz(0.0065) q[3];
rx(3.0954) q[4];
rz(0.0003) q[4];
rx(1.4759) q[5];
rz(0.0003) q[5];
rx(-0.002) q[6];
rz(0.009) q[6];
rx(3.086) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
6ed1ddb0c37b8c42f6032d980e7fb546 | 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": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [2, 63], "expectation_value": -5.57340226303451, "params": [[0.1404, 0.2541, 0.31770000000000004, 0.3079], [-0.5571, -0.2275, -0.1346, -0.1091]], "bitstrings": ["1111101", "1000000"], "total_optimization_steps": 140, "probabilities": [0.08293232071835077, 0.0831848926818608], "optimization_time": 12.67060279... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0702) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2106) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0702) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.351) q[3];
cx q[1], q[3];
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": []} |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -1.2587840253679061, "params": [[-0.0709, -0.07250000000000001, -0.058300000000000005, -0.0558], [0.0758, 0.07780000000000001, 0.0678, 0.066]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.03195771722446888, 0.037381041605855495], "opt... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0709) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0709) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0709) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.0709) q[3];
cx q[2], q[3];
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[... | null | {"circuits": [], "gradients": []} |
460c923df83f30f22def2c9af8610a90 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [98, 67], "expectation_value": -4.4965155484111925, "params": null, "bitstrings": ["0011101", "0111100"], "total_optimization_steps": 26, "probabilities": [0.06700896400155715, 0.9297460623239685], "optimization_time": 20.052170753479004} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110110", "0111100", "0011101", "0001111", "1110010"]} | 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];
ry(-1.5681) q[2];
ry(-1.4449) q[3];
ry(1.4449) q[0];
ry(1.4417) q[5];
cry(-1.0398) q[6], q[1];
ry(0.7022) q[6];
ry(-0.4578) q[1];
cry(0.497) q[0], q[6];
cry(-0.3761) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
ffec7a0ab344b923f33f7859704e9a2a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [0, 1788], "expectation_value": -11.758769589460115, "params": [0.2189, 0.2994, -0.501, 0.0068000000000000005, -0.6844, 0.4733, 0.6162000000000001, 0.0034000000000000002, 0.0083, 1.9168, 0.0027, 0.0012000000000000001, -0.8594, 0.5532, 0.6873, 0.0088, 0.8932, 0.7879, -0.038400000000000004, 0.0099, 0.9229, 1.1... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2189) q[0];
rz(0.2994) q[0];
rx(-0.6844) q[1];
rz(0.4733) q[1];
rx(0.0083) q[2];
rz(1.9168) q[2];
rx(-0.8594) q[3];
rz(0.5532) q[3];
rx(0.8932) q[4];
rz(0.7879) q[4];
rx(0.9229) q[5];
rz(1.1647) q[5];
rx(0.9114) q[6];
rz(1.2046) q[6];
rx(0.9427) 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": 10} | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -7.432080766278878, "params": [0.2, -0.25470000000000004, 0.1124, -0.2797, 0.19990000000000002, 0.22660000000000002, 0.2611, 0.26280000000000003, 0.5805, 0.1206, 0.5068, 0.18100000000000002, 0.4456, 0.1864, 0.1988, -0.26180000000000003, 0.1126, -0.3027, 0.2029, 0.234, 0.226100000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2) q[0];
rz(-0.2547) q[0];
rx(0.1124) q[1];
rz(-0.2797) q[1];
rx(0.1999) q[2];
rz(0.2266) q[2];
rx(0.2611) q[3];
rz(0.2628) q[3];
rx(0.5805) q[4];
rz(0.1206) q[4];
rx(0.5068) q[5];
rz(0.181) q[5];
rx(0.4456) q[6];
rz(0.1864) q[6];
crz(0.2547) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
32320a7b125d6000b99bf4a938a5a3c6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 9}, {"capac... | {"states": [1022, 319], "expectation_value": -3.956253400354706, "params": [[-0.17370000000000002], [0.1721]], "bitstrings": ["0000000001", "1011000000"], "total_optimization_steps": 20, "probabilities": [0.005223536687164228, 0.005521752365053684], "optimization_time": 3.377075433731079} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(9)) + -1.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.2606) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.2606) q[3];
cx q[0], q[3];
cx q[1], q[9];
rz(0.1737) q[9];
cx q[1], q[9];
cx q[0], q[9];
rz(-0.608) q[9];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
1daa66d6080eab6b49a4e26a126b9888 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [262, 326], "expectation_value": -5.092157624686867, "params": [[[0.5043, 0.0004], [0.0673, -0.22740000000000002], [0.41540000000000005, -0.0019], [0.36300000000000004, 0.0437], [0.0239, 0.2422], [-0.0043, -0.28650000000000003], [0.48810000000000003, -0.0005], [0.5029, 0.0022], [0.0018000000000000002, 0.265]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["011011001", "101011100", "111011000", "010111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5043) q[0];
rz(0.0004) q[0];
rx(0.0673) q[1];
rz(-0.2274) q[1];
rx(0.4154) q[2];
rz(-0.0019) q[2];
rx(0.363) q[3];
rz(0.0437) q[3];
rx(0.0239) q[4];
rz(0.2422) q[4];
rx(-0.0043) q[5];
rz(-0.2865) q[5];
rx(0.4881) q[6];
rz(-0.0005) q[6];
rx(0.5029) 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": []} |
26d7f56e59bfdf48052023802b40605b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -1.6051151741896512, "params": [[0.0674], [-0.0733]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.03856039665036603, 0.03921178014852349], "optimization_time": 1.1697981357574463} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | 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(0.2359) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2359) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2359) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2696) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2696) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} |
803276a777b6ec2f65b92e64949dd4f0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -36.021967064961004, "params": [0.0046, 0.6277, 0.0015, 0.6322, -0.0002, 0.5412, -0.0054, 0.653, -0.4894, 0.04, -0.31020000000000003, 0.19010000000000002, 0.004200000000000001, 0.5711, 0.012100000000000001, 0.5501, -0.0029000000000000002, 0.6938000000000001, 0.0028, 0.7226, -0.... | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 6 | 10 | 4 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0046) q[0];
rz(0.6277) q[0];
rx(-0.0002) q[1];
rz(0.5412) q[1];
rx(-0.4894) q[2];
rz(0.04) q[2];
rx(0.0042) q[3];
rz(0.5711) q[3];
rx(-0.0029) q[4];
rz(0.6938) q[4];
rx(-0.0064) q[5];
rz(0.7909) q[5];
rx(-0.002) q[6];
rz(1.0079) q[6];
rx(-0.5161) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [33, 97], "expectation_value": -2.712155139084176, "params": [0.8631000000000001, 0.00030000000000000003, 0.9048, 0.0172, 0.1985, 0.5603, 0.1648, 0.5585, -0.0059, 0.5691, 0.5281, 0.5504, 0.9093, 0.013300000000000001, 0.8543000000000001, 0.0013000000000000002, 0.8995000000000001, 0.0014, 0.19260000000000002, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(6) | 3 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1010110", "1011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8631) q[0];
rz(0.0003) q[0];
rx(0.9048) q[1];
rz(0.0172) q[1];
rx(0.1985) q[2];
rz(0.5603) q[2];
rx(0.1648) q[3];
rz(0.5585) q[3];
rx(-0.0059) q[4];
rz(0.5691) q[4];
rx(0.5281) q[5];
rz(0.5504) q[5];
rx(0.9093) q[6];
rz(0.0133) q[6];
crz(0.0439) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9d1382902993d8e771af3489e0021226 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [242, 250], "expectation_value": -2.450629330461544, "params": [0.3396, -0.8013, 1.5884, -0.059300000000000005, 1.5825, -0.0106, 1.4799, -0.006, 1.5735000000000001, -0.0862, 0.8138000000000001, -0.054, 0.0029000000000000002, 0.8417, 1.5790000000000002, 0.4227, -0.0034000000000000002, 0.8163, 0.3448, 0.003600... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3396) q[0];
rz(-0.8013) q[0];
rx(1.5884) q[1];
rz(-0.0593) q[1];
rx(1.5825) q[2];
rz(-0.0106) q[2];
rx(1.4799) q[3];
rz(-0.006) q[3];
rx(1.5735) q[4];
rz(-0.0862) q[4];
rx(0.8138) q[5];
rz(-0.054) q[5];
rx(0.0029) q[6];
rz(0.8417) q[6];
rx(1.579) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7010639097345943315 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [0, 1, 4, 6, 7, 8], [4, 5, 6], [0, 1, 2], [3, 4]]} | {"states": [343, 341], "expectation_value": -1.6696144726966942, "params": [1.6847, -0.0465, 1.4339000000000002, 0.0079, 0.3765, 0.0205, 0.1772, 0.0088, 1.7724, -0.0414, 1.2944, 0.0091, 0.11420000000000001, -0.045200000000000004, -0.1068, 0.0092, 1.651, -0.0482, 1.4508, 0.0007, 0.7227, -0.024800000000000003, -0.014, 0.... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.19999999999999998 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.7, -1.7, -1.7, -1.7, -1.7, -1.7], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010101010", "010101001", "001010010", "010100100", "100010000", "001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6847) q[0];
rz(-0.0465) q[0];
rx(0.3765) q[1];
rz(0.0205) q[1];
rx(1.7724) q[2];
rz(-0.0414) q[2];
rx(0.1142) q[3];
rz(-0.0452) q[3];
rx(1.651) q[4];
rz(-0.0482) q[4];
rx(0.7227) q[5];
rz(-0.0248) q[5];
rx(1.7641) q[6];
rz(-0.0456) q[6];
rx(1.3311) 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": []} |
-1730068884763605341 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3], [2, 4, 5, 6], [8, 3, 6], [0, 8], [0, 1, 2, 6], [1, 4, 5, 6, 7], [8, 1, 7]]} | {"states": [197, 213], "expectation_value": -2.2152050892010062, "params": null, "bitstrings": ["100111010", "100101010"], "total_optimization_steps": 61, "probabilities": [0.10064093920652509, 0.6543622091462004], "optimization_time": 95.644606590271} | 0.5 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["100101010", "100110010"]} | 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(1.4576) q[6];
ry(1.0594) q[1];
cry(-1.0754) q[8], q[0];
ry(0.7554) q[8];
cry(-1.1566) q[2], q[3];
ry(0.8202) q[2];
ry(-0.5583) q[3];
ry(-0.56) q[0];
cry(0.5935) q[6], q[8];
cry(0.5054) ... | 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(1.4576) 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... |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 15.108561515808105} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[1], q[5];
cry(-0.3789) q[1], q[3];
cry(0.2489) q[0], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 9.309940099716187} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.4449) q[4], q[2];
cry(-1.4449) q[4], q[0];
cry(0.8211) q[2], q[4];
ry(-1.3) q[3];
cry(-0.432) q[2], q[0];
cry(1.2172) q[4], q[1];
ry(0.1675) q[4];
cry(0.3046) q[2], q[1];
ry(0.1607) q[2];
cry(-0.2337) q[1], q[3];
c... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.4449) q[4], 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;\nqu... |
e1ee122704659894b3696f576081a2cf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -8.656694521772218, "params": [[-0.048400000000000006], [0.058300000000000005]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0035556426470776522, 0.004130286903911148], "optimization_time": 1.949934482574463} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4356) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4356) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.4356) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.4356) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | qaoa | {"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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 6], "expectation_value": -3.678756111723996, "params": [[0.06960000000000001, 0.0519, 0.0505], [-0.07680000000000001, -0.055, -0.049100000000000005]], "bitstrings": ["10110", "11001"], "total_optimization_steps": 10, "probabilities": [0.06246350187044365, 0.06246350187044368], "optimization_time": 3.5332... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (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) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2436) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2436) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2436) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2784) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2436) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
e543ef7ed69757cb61258022eb86ed78 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [983, 967], "expectation_value": -1.29686601022583, "params": [-0.0026000000000000003, 0.0045000000000000005, 1.9038000000000002, 0.0082, 1.9117000000000002, 0.0048000000000000004, 1.9085, 0.008, 1.9038000000000002, 0.0029000000000000002, 1.4993, 0.0058000000000000005, 1.5021, 0.0005, 0.9759000000000001, 0.0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.75, "smallest_bitstrings": ["11000100010", "10010101000", "11000010100", "10000111000", "10001001001", "10000101001", "10100011000", "10000011100", "11... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0026) q[0];
rz(0.0045) q[0];
rx(1.9038) q[1];
rz(0.0082) q[1];
rx(1.9117) q[2];
rz(0.0048) q[2];
rx(1.9085) q[3];
rz(0.008) q[3];
rx(1.9038) q[4];
rz(0.0029) q[4];
rx(1.4993) q[5];
rz(0.0058) q[5];
rx(1.5021) q[6];
rz(0.0005) q[6];
rx(0.9759) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
415e9c4b894952859f5e50d01e57c345 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [1020, 1023], "expectation_value": -1.0735907883575293, "params": [[-0.0608], [0.0741]], "bitstrings": ["0000000011", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0015003012786009326, 0.0015527983471704007], "optimization_time": 2.387488603591919} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.2432) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.304) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0608) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0608) q[3];
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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 2} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 50], "expectation_value": -0.16869167315439923, "params": [[0.07640000000000001], [-0.0668]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.018197009588044984, 0.018197009588044995], "optimization_time": 1.9873993396759033} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0764) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0764) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0764) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0764) q[1];
cx q[3], q[1];
cx q[1], q[5];
rz(0.0764... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [2750, 6846], "expectation_value": -2.2446746640589437, "params": [[[1.6941000000000002, 0.0039000000000000003, 0.0045000000000000005, 0.007500000000000001], [0.29650000000000004, -0.0035, 1.4664000000000001, 0.0047], [1.4059000000000001, 0.0031000000000000003, 0.0007, 0.0037], [0.322, -0.0028, 1.5477, 0.007... | 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(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 12 | 13 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.6941) q[0];
rz(0.0039) q[0];
ry(0.2965) q[1];
rz(-0.0035) q[1];
ry(1.4059) q[2];
rz(0.0031) q[2];
ry(0.322) q[3];
rz(-0.0028) q[3];
ry(-0.017) q[4];
rz(0.0033) q[4];
ry(0.6777) q[5];
rz(-0.0028) q[5];
ry(0.2784) q[6];
rz(0.0058) q[6];
ry(0.6083) 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": []} |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [3, 28], "expectation_value": -0.8449955656023243, "params": [[0.06570000000000001, 0.0648, 0.0703, 0.051500000000000004], [-0.0658, -0.0521, -0.0649, -0.054]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.02593358493361461, 0.03132040850650213], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0657) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0657) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0657) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0657) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0657... | OPENQASM 3.0;
include "stdgates.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": []} |
-4932582352537819247 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 10, 5], [1, 2, 4, 5, 6, 8, 9, 11], [0, 8, 4, 5], [0, 2, 4, 6, 7, 9, 10, 11], [1, 3], [0, 1, 2, 10], [0, 1, 2, 5, 6, 7, 8], [1, 10, 4, 7], [3, 6, 7, 9, 11], [0, 1, 4, 6, 7, 8], [0, 1, 11], [1, 4, 5, 10, 11], [0, 3, 4, 5, 6, 11], [0, 4, 5, 6, 9, 10], [1... | {"states": [1006, 3054], "expectation_value": -3.274099243301814, "params": [1.653, -0.4073, 0.0027, 1.722, 1.6966, -0.0017000000000000001, 2.0636, -0.0022, 2.213, -0.002, 2.298, 0.0023, 3.1373, 0.0015, 3.5111000000000003, 0.2541, 2.9833000000000003, 0.0012000000000000001, 3.1455, -0.001, 3.1388000000000003, -0.5136000... | 0.26785714285714285 * (Z(4) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.20833333333333331 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z(1) @ Z(2)) + 0.14285714285714285 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(7)) + 0.18452380952380953 * (Z(6) @ Z(2)) + 0.05357142857142857 * (Z(6) @ Z(4)) + 0.2511904761904762 * (Z(6) @ Z(7)) + 0.235714... | 4 | 12 | 1 | {"smallest_eigenvalues": [-3.704761904761905], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6952380952380945, "smallest_bitstrings": ["010000010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.653) q[0];
rz(-0.4073) q[0];
rx(0.0027) q[1];
rz(1.722) q[1];
rx(1.6966) q[2];
rz(-0.0017) q[2];
rx(2.0636) q[3];
rz(-0.0022) q[3];
rx(2.213) q[4];
rz(-0.002) q[4];
rx(2.298) q[5];
rz(0.0023) q[5];
rx(3.1373) q[6];
rz(0.0015) q[6];
rx(3.5111) 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": []} |
2ad6d55856f69d2786e314d4b42f7213 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3},... | {"states": [2040, 2046], "expectation_value": -13.393494363635448, "params": null, "bitstrings": ["00000000111", "00000000001"], "total_optimization_steps": 100, "probabilities": [0.12116968976818161, 0.4646413835045458], "optimization_time": 246.10930681228638} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[7], q[4];
ry(1.056) q[7];
cry(1.5708) q[4], q[6];
ry(0.3016) q[4];
cry(1.5706) q[3], q[0];
cry(1.5708) q[0], q[2];
cry(1.2306) q[2], q[3];
cry(0.4422) q[2]... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[7], 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[... |
6e37aef8e2f10c2778e28c9dc9b1affa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [66, 67], "expectation_value": -4.978369530652005, "params": [0.4993, -0.00030000000000000003, 0.4973, -0.0007, 0.2733, -0.025400000000000002, 0.25980000000000003, -0.0043, 0.0291, 0.0239, 0.039, -0.1268, 0.07680000000000001, -0.1884, 0.1321, -0.1797, 0.2953, -0.0027, 0.3013, 0.0007, 0.5054000000000001, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 6 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4993) q[0];
rz(-0.0003) q[0];
rx(0.2733) q[1];
rz(-0.0254) q[1];
rx(0.0291) q[2];
rz(0.0239) q[2];
rx(0.0768) q[3];
rz(-0.1884) q[3];
rx(0.2953) q[4];
rz(-0.0027) q[4];
rx(0.5054) q[5];
rz(-0.0092) q[5];
rx(0.5036) q[6];
rz(0.0003) q[6];
crx(-0.3011) 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": []} |
8e16fef56173ffd9ae3ac92bb04d98fd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [127, 126], "expectation_value": -30.517398377217344, "params": [[[0.0025, 3.1584000000000003], [0.0022, 0.0021000000000000003], [0.0019, 0.0021000000000000003], [0.002, 0.002], [0.0025, 0.0021000000000000003], [-1.6072000000000002, 0.0029000000000000002], [0.0025, 0.0026000000000000003]]], "bitstrings": ["0... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + -3... | 15 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0025) q[0];
ry(0.0022) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(0.0025) q[4];
ry(-1.6072) q[5];
ry(0.0025) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(3.1584) q[0];
ry(0.0021) q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x0) q[4];
ry(x4) q[5];
ry... | {"node": 7} | {"circuits": [], "gradients": []} |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -3.4964640571444514, "params": null, "bitstrings": ["011100", "110100"], "total_optimization_steps": 25, "probabilities": [0.06634840825543914, 0.930366230374527], "optimization_time": 13.909463882446289} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[4];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[2];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-6224653830652967166 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 6, 8], [1, 3], [6, 7], [0, 2, 3, 6], [8, 4, 5, 6], [0, 3, 5, 6], [1, 5, 6], [0, 2, 5, 6, 8], [2, 7], [8, 3, 7], [1, 7], [3, 4, 5, 7]]} | {"states": [469, 315], "expectation_value": -1.4562648034114358, "params": [[0.3766], [-0.3677]], "bitstrings": ["000101010", "011000100"], "total_optimization_steps": 40, "probabilities": [0.008516835142214256, 0.008608062957262338], "optimization_time": 4.190459489822388} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666669 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(0)) + 0.16666666666666669 * (Z(6) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.966666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9499999999999993, "smallest_bitstrings": ["011000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0251) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0251) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1255) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0251) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
d3ade3a8101a76a5368810932e8e6702 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [257, 1], "expectation_value": -21.631017542695137, "params": null, "bitstrings": ["011111110", "111111110"], "total_optimization_steps": 37, "probabilities": [0.39265000724703936, 0.6062681947242516], "optimization_time": 66.78646779060364} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 3.25 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -2.75 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.57) q[8];
ry(-1.5577) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5708) q[1];
ry(-1.5709) q[7];
ry(-1.5709) q[5];
ry(-1.57) q[6];
ry(-1.5709) q[2];
cry(1.3413) q[8], q[0];
cry(-0.... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.57) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
dd83253949a28072d063600df3623a69 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [0, 7], "expectation_value": -12.269073724779608, "params": null, "bitstrings": ["1111111", "1111000"], "total_optimization_steps": 32, "probabilities": [0.13870030195264993, 0.7187714838493837], "optimization_time": 28.463849782943726} | 0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(3) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5577) q[3];
ry(-1.5708) q[1];
cry(1.5681) q[6], q[4];
cry(1.231) q[4], q[6];
cry(1.57) q[6], q[5];
ry(-0.1099) q[5];
cry(0.1106) q[4], q[5];
cry(0.2797) q[5], q[3... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -19.82676928108473, "params": [[-0.0427, 0.0071, -0.007500000000000001, -0.0188], [0.07440000000000001, 0.040400000000000005, 0.0582, 0.0694]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.02410531906110438, 0.02548549050456405], "opt... | 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)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 15 | 7 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2349) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2349) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2349) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2349) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [13, 12], "expectation_value": -2.2689770638714513, "params": [0.004200000000000001, 0.445, 0.0009000000000000001, 0.4449, 0.451, 0.0008, 0.6, 0.0044, 0.004200000000000001, 0.43270000000000003, 0.34340000000000004, -0.032, -0.002, 0.4544, 0.0067, 0.4621, 0.44680000000000003, 0.0017000000000000001, 0.6008, 0.... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 3 | 6 | 4 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0042) q[0];
rz(0.445) q[0];
rx(0.0009) q[1];
rz(0.4449) q[1];
rx(0.451) q[2];
rz(0.0008) q[2];
rx(0.6) q[3];
rz(0.0044) q[3];
rx(0.0042) q[4];
rz(0.4327) q[4];
rx(0.3434) q[5];
rz(-0.032) q[5];
crz(0.0472) q[5], q[4];
crz(-0.4201) q[4], q[3];
crz(-0.0041)... | OPENQASM 3.0;
include "stdgates.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": []} |
253d3995de007ce15800f0023018551d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [1, 13], "expectation_value": -9.431332681900324, "params": null, "bitstrings": ["1111110", "1110010"], "total_optimization_steps": 33, "probabilities": [0.2058374582510394, 0.6353629477863946], "optimization_time": 27.733870029449463} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(-1.5708) q[6], q[0];
ry(1.231) q[6];
ry(-0.6433) q[0];
cry(1.4449) q[4], q[3];
cry(1.218) q[3], q[4];
cry(0.2809) q[4], q[6];
cry(-0.1177) q[4], q[0];
ry(-1.0398) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
20a8103f07dd8a24047f028e6edcf2b9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -22.290490503501612, "params": [[-0.034, 0.006], [0.0779, 0.07300000000000001]], "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010308038042197265, 0.01264061553169345], "optimization_time": 3.4586758613586426} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.272) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.272) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.272) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.272) q[3];
cx q[2], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
814e777f1ed4a69daeaf282d5f272f5b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [81, 113], "expectation_value": -8.51634416651629, "params": [[0.003, 0.037000000000000005, 0.003, 1.5861, -0.010100000000000001, 1.5882, 0.0032, 0.0024000000000000002, 0.0019, 1.5844], [-0.0034000000000000002, -0.030600000000000002, 0.0031000000000000003, 1.584, 1.6051, 1.5833000000000002, 0.003100000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.003) q[0];
ry(0.037) q[1];
ry(0.003) q[2];
ry(1.5861) q[3];
ry(-0.0101) q[4];
ry(1.5882) q[5];
ry(0.0032) q[6];
ry(0.0024) q[7];
ry(0.0019) q[8];
ry(1.5844) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
-1875740235070542863 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 7, 8, 9], [0, 1, 4, 5, 8, 9], [9, 5, 6], [0, 8, 2, 6], [5, 7], [3, 4, 5, 6, 8], [0, 1, 4, 5, 6], [0, 3, 5, 6, 8], [0, 1, 4, 6, 7, 8], [1, 2, 5], [2, 4, 5, 6, 8], [8, 1, 3, 6], [0, 2, 7]]} | {"states": [493, 755], "expectation_value": -1.543206531562069, "params": [[-0.3033], [0.3028]], "bitstrings": ["1000010010", "0100001100"], "total_optimization_steps": 40, "probabilities": [0.0032656868497547027, 0.003301349783912972], "optimization_time": 6.158680200576782} | 0.19999999999999998 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.15 * (Z(4) @ Z(1)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.06666666666666667 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(2)) + 0.18333333333333335 * (Z(8) @ Z(1)) + 0.2 * (Z(8) @ Z(4)) + 0.0666666... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.1833333333333327], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.000000000000001, "smallest_bitstrings": ["0100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(-0.1213) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0506) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.091) q[4];
cx q[1], q[4];
cx q[2], q[7];
rz(-0.1213) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1b146c0365a13411191347bfcee6d38e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [30, 94], "expectation_value": -3.6453600267789086, "params": [1.6009, 0.0032, 1.5882, 0.0014, 1.5947, -0.0031000000000000003, 1.6071, 0.0015, 1.6032000000000002, 0.0035, 1.607, 0.2331, 0.0032, 0.002, -1.5723, -1.5855000000000001, 1.5786, 1.5691000000000002, 1.5703, 0.7747], "bitstrings": ["1100001", "010000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) | 4 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6009) q[0];
rz(0.0032) q[0];
rx(1.5882) q[1];
rz(0.0014) q[1];
rx(1.5947) q[2];
rz(-0.0031) q[2];
rx(1.6071) q[3];
rz(0.0015) q[3];
rx(1.6032) q[4];
rz(0.0035) q[4];
rx(1.607) q[5];
rz(0.2331) q[5];
rx(0.0032) q[6];
rz(0.002) q[6];
crx(0.7747) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
6be29fcf64186db29d8d06f08ec325c6 | 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": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [125, 109], "expectation_value": -43.89811673273758, "params": [1.4716, 0.006200000000000001, 2.8972, 0.0067, 2.8921, 0.0078000000000000005, 1.479, 0.0066, 2.8906, 0.006200000000000001, 2.8972, 0.0097, 1.0695000000000001, 0.0051, 2.8895, 0.0045000000000000005, 0.0002, 0.0044, 0.0098, 0.0036000000000000003, 0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 18 | 8 | 1 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4716) q[0];
rz(0.0062) q[0];
rx(2.8972) q[1];
rz(0.0067) q[1];
rx(2.8921) q[2];
rz(0.0078) q[2];
rx(1.479) q[3];
rz(0.0066) q[3];
rx(2.8906) q[4];
rz(0.0062) q[4];
rx(2.8972) q[5];
rz(0.0097) q[5];
rx(1.0695) q[6];
rz(0.0051) q[6];
rx(2.8895) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
2df5083eec714b9fdc0c8843b7695063 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -14.101091198831028, "params": [[0.019100000000000002, 0.0284, -0.0089], [-0.033100000000000004, -0.0668, -0.0446]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.010823939474024328, 0.011429767344492352], "optimization_time": 5.9... | 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(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + 12.5 * Z(2) + 13.5 * Z(1) + -2.0 * Z(3) + 6.0 * Z(4) + 8.0 * Z(5) + 11.0 * Z(6) + 10.0 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["10010100"]} | 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[0], q[2];
rz(0.1719) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.1719) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.1719) q[1];
cx q[2], q[1];
cx q[3], q[4];
rz(0.1719) q[4];
cx q[3], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.53366772242019, "params": [[-0.07730000000000001], [0.0692]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006649251995495541, 0.006875509358799752], "optimization_time": 2.57660174369812} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.116) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1546) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1933) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(-0.3479) q[7];
cx q[0], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "... | {"states": [362, 1386], "expectation_value": -0.17454897471631395, "params": [0.2952, -0.077, 0.2912, -0.08360000000000001, 0.29410000000000003, -0.0599, 0.3002, -0.06330000000000001, 0.2832, 0.1087, 0.2863, 0.1107, 0.30360000000000004, 0.07980000000000001, 0.3019, 0.101, 0.2957, 0.1272, 0.2805, 0.12510000000000002, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0012755102040816328 * (Z(2) @ Z(0)) + -0.0012755102040816328 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005102... | 5 | 12 | 3 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2952) q[0];
rz(-0.077) q[0];
rx(0.2941) q[1];
rz(-0.0599) q[1];
rx(0.2832) q[2];
rz(0.1087) q[2];
rx(0.3036) q[3];
rz(0.0798) q[3];
rx(0.2957) q[4];
rz(0.1272) q[4];
rx(0.3308) q[5];
rz(0.0776) q[5];
rx(0.3031) q[6];
rz(-0.0251) q[6];
rx(0.2085) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
8e96f7ae60ba14470432467f8af7fce5 | 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": [315, 314], "expectation_value": -72.48658920171763, "params": [0.056100000000000004, 0.0463, 0.5001, 0.4978, -0.0004, -0.0027, 0.19440000000000002, 0.1811, 0.496, 0.48860000000000003, 0.4791, 0.4786, 0.4828, 0.4839, 0.27490000000000003, 0.275, 0.48700000000000004, 0.48510000000000003, 0.2316, 0.2278, 0.0204... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + -2.5 * Z(0) + 13.5 * Z(1) + 15.0 * Z(4) + 3.5 * Z(3) + 13.0 * Z(6) + 9.5 * Z(7... | 14 | 10 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["1011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0561) q[0];
ry(0.5001) q[1];
ry(-0.0004) q[2];
ry(0.1944) q[3];
ry(0.496) q[4];
ry(0.4791) q[5];
ry(0.4828) q[6];
ry(0.2749) q[7];
ry(0.487) q[8];
ry(0.2316) q[9];
crx(-0.0197) q[9], q[0];
crx(-0.3772) q[8], q[9];
crx(-0.3419) q[7], q[8];
crx(-0.3476) 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]}"} | {"circuits": [], "gradients": []} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -1.4099106657672356, "params": [[0.0601, 0.0557, 0.0718], [-0.050100000000000006, -0.0362, -0.058300000000000005]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.0290803736062045, 0.03269765721850806], "optimization_time": 2.98417711257... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0902) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0601) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0601) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.2404) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b3dcb53c8b4774df946153af64089e6d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6},... | {"states": [2047, 1567], "expectation_value": -0.4986163236616476, "params": [[0.0369], [-0.025900000000000003]], "bitstrings": ["00000000000", "00111100000"], "total_optimization_steps": 10, "probabilities": [0.0005842431633179603, 0.0005870390613646567], "optimization_time": 0.7809543609619141} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["00111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.0738) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1845) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(-0.1845) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-0.1476... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 3} | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [14261, 14190], "expectation_value": -2.1111865209352105, "params": [[0.1466], [-0.1686]], "bitstrings": ["100100001001010", "100100010010001"], "total_optimization_steps": 20, "probabilities": [9.175479711342067e-05, 9.175479711342068e-05], "optimization_time": 38.13311791419983} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 5 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999961], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999947, "smallest_bitstrings": ["100100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(0.1466) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1466) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1466) q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
7b0d1afbddbe3ea983a4bf7aee7acd30 | 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": [870, 614], "expectation_value": -46.83107777682928, "params": [-0.0182, 0.001, 2.21, 0.0004, 1.5697, 0.0081, 0.227, 0.0063, 2.2012, 0.0017000000000000001, 2.1986, 0.0077, 1.4926000000000001, 0.0098, 1.1496, 0.0099, 2.198, 0.0094, 2.2021, 0.0046, 0.23290000000000002, 0.002, 0.0057, 0.0019, 0.001, 0.001200000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(10) @ Z(9)) + 7.0 * Z(1) + -3.5 * Z(0) + 4.0 * Z(2) + 13.5 * Z(5) + -2.5 * Z(3) + 7.5 * Z(4) + 3.5 * Z(6) + 8.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-99.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["10110011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0182) q[0];
rz(0.001) q[0];
rx(2.21) q[1];
rz(0.0004) q[1];
rx(1.5697) q[2];
rz(0.0081) q[2];
rx(0.227) q[3];
rz(0.0063) q[3];
rx(2.2012) q[4];
rz(0.0017) q[4];
rx(2.1986) q[5];
rz(0.0077) q[5];
rx(1.4926) q[6];
rz(0.0098) q[6];
rx(1.1496) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
e0669582681ae5929d51416018b30292 | 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": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [452, 468], "expectation_value": -3.063984881921489, "params": [[[0.8028000000000001, -0.0021000000000000003], [0.8087000000000001, 0.0038], [0.8021, 0.0029000000000000002], [0.0834, -0.3603], [0.8018000000000001, -0.0009000000000000001], [0.30410000000000004, -0.2379], [0.811, 0.004], [-0.0164, 0.3956], [0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(7) + -0.5 * Z(8) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["000110011", "000101011", "100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8028) q[0];
rz(-0.0021) q[0];
rx(0.8087) q[1];
rz(0.0038) q[1];
rx(0.8021) q[2];
rz(0.0029) q[2];
rx(0.0834) q[3];
rz(-0.3603) q[3];
rx(0.8018) q[4];
rz(-0.0009) q[4];
rx(0.3041) q[5];
rz(-0.2379) q[5];
rx(0.811) q[6];
rz(0.004) q[6];
rx(-0.0164) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4afda69c42a222bc9f2115981fa30ba0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [498, 496], "expectation_value": -1.1864604374446752, "params": [[0.07350000000000001], [-0.0731]], "bitstrings": ["000001101", "000001111"], "total_optimization_steps": 10, "probabilities": [0.002909143616968082, 0.0029732952655008474], "optimization_time": 2.1130099296569824} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(8)) + -2.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -2.0 * Z(8) + -1.5 * Z(5) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["000001111"]} | 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(-0.147) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2205) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.2205) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0735) q[4];
cx q[2], 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} |
-1440168243671730066 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 3], [0, 7], [8, 9], [4, 6], [8, 6], [5, 7], [0, 5], [1, 2], [8, 1], [8, 10], [1, 7], [8, 3], [0, 2], [10, 7], [1, 6], [4, 5], [0, 6], [3, 4], [9, 1], [4, 7], [3, 7], [8, 2], [2, 4], [2, 5], [0, 3], [0, 10], [0, 4], [10, 5], [9, 10], [2, 7], [0, 9]]} | {"states": [947, 435], "expectation_value": -0.11160934283546851, "params": [0.7200000000000001, 0.028800000000000003, 0.7167, 0.0027, 0.7595000000000001, 0.0567, 0.7595000000000001, 0.0039000000000000003, 0.8574, 0.0041, 0.8555, 0.0037, 0.8575, -0.0036000000000000003, 0.8567, 0.0047, 0.7539, 0.1433, 0.7519, 0.00720000... | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -5.5, "smallest_bitstrings": ["10001001110", "00110110011", "00110111010", "01110110001", "00110011011", "11001100100", "11001000101", "11001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.72) q[0];
rz(0.0288) q[0];
rx(0.7595) q[1];
rz(0.0567) q[1];
rx(0.8574) q[2];
rz(0.0041) q[2];
rx(0.8575) q[3];
rz(-0.0036) q[3];
rx(0.7539) q[4];
rz(0.1433) q[4];
rx(0.8271) q[5];
rz(0.137) q[5];
rx(0.8534) q[6];
rz(0.0097) q[6];
rx(0.7301) 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": []} |
-2933049049569637002 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 1], [0, 2], [6, 7], [0, 7], [1, 7], [9, 2, 4, 7], [2, 3, 5], [8, 3]]} | {"states": [245, 229], "expectation_value": -1.5479329168466924, "params": [0.5321, -0.1032, 0.2692, 0.0061, 0.8957, -0.0689, 0.48190000000000005, 0.0043, 0.903, 0.0818, 0.9024000000000001, 0.0032, 0.9074000000000001, 0.10490000000000001, 0.8972, 0.0021000000000000003, 0.8977, 0.1666, 0.8975000000000001, 0.008, 0.902, ... | 0.25 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.166666666666666, -3.166666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.083333333333333, "smallest_bitstrings": ["1101001000", "1100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.5321) q[0];
rz(-0.1032) q[0];
rx(0.8957) q[1];
rz(-0.0689) q[1];
rx(0.903) q[2];
rz(0.0818) q[2];
rx(0.9074) q[3];
rz(0.1049) q[3];
rx(0.8977) q[4];
rz(0.1666) q[4];
rx(0.902) q[5];
rz(-0.2544) q[5];
rx(0.908) q[6];
rz(0.033) q[6];
rx(0.9073) 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": []} |
7d035ca1bf1f85a5b9e73dc65bf927bc | 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": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -33.199841234417825, "params": [[-0.0342, -0.0025, 0.0048000000000000004, 0.0098], [0.0621, 0.0594, 0.0645, 0.066]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.017815732677495446, 0.02118315630308209], "optimization_time": 6.48... | 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(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "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(-0.2736) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2736) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2736) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2736) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f23d2a7db93c6e79e89f3b179ac09e4a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 5}, {"source": ... | {"states": [0, 1023], "expectation_value": -20.425012836731394, "params": [[[-0.7393000000000001, 1.2097], [-0.0028, 0.8864000000000001], [-0.0027, 0.0027], [0.0033, -0.0035], [0.0021000000000000003, 0.0029000000000000002], [0.0026000000000000003, 0.0016], [0.0022, 0.0025], [0.0023, 0.0023], [0.0025, 0.002], [0.0028, 0... | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + 1... | 15 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.7393) q[0];
ry(-0.0028) q[1];
ry(-0.0027) q[2];
ry(0.0033) q[3];
ry(0.0021) q[4];
ry(0.0026) q[5];
ry(0.0022) q[6];
ry(0.0023) q[7];
ry(0.0025) q[8];
ry(0.0028) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} |
8763698775299584540 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 4], [2, 5], [1, 10], [8, 2], [0, 10], [1, 6], [9, 6], [1, 9], [0, 9], [0, 7], [3, 7], [1, 3], [8, 9], [2, 6], [10, 6], [6, 7], [0, 8], [10, 5], [10, 3], [0, 1], [8, 5], [1, 7], [1, 5], [9, 2], [8, 4], [3, 6], [9, 10], [0, 4], [4, 7]]} | {"states": [121, 1145], "expectation_value": -6.298878438006019, "params": [-0.7976000000000001, -0.7824, 0.3274, 0.3816, -0.0318, 0.0239, -0.0023, -0.0023, 1.5477, 1.5877000000000001, 1.5310000000000001, 1.6164, 1.558, 1.5773000000000001, 1.5648, 1.5795000000000001, -0.6784, 0.6797000000000001, 0.08460000000000001, -0... | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10001111001", "01110000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.7976) q[0];
ry(0.3274) q[1];
ry(-0.0318) q[2];
ry(-0.0023) q[3];
ry(1.5477) q[4];
ry(1.531) q[5];
ry(1.558) q[6];
ry(1.5648) q[7];
ry(-0.6784) q[8];
ry(0.0846) q[9];
ry(2.0558) q[10];
crx(-0.7675) q[10], q[0];
crx(-1.1941) q[9], q[10];
crx(-0.0009) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9fa2c1c0efc57c7f335d8a3e17939b3e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2103, 2099], "expectation_value": -64.47124635459224, "params": [2.1109, 0.0038, 1.2645, 0.0098, -0.0028, 0.0015, 0.1389, 0.008, 0.2869, 0.0054, 1.3951, 0.004, 2.1076, 0.0006000000000000001, 2.1048, 0.007200000000000001, 0.1603, 0.0094, 1.4859, 0.0029000000000000002, 2.1082, 0.0008, 2.1118, 0.0005, 0.009300... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(3) @ Z(11)) + 6.5 * Z(0) + 1.5 * Z(1) + -3.0 * Z(4) + 6.5 * Z(6) + -7.5 * Z(2) + 2.5 *... | 18 | 12 | 1 | {"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["011111001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.1109) q[0];
rz(0.0038) q[0];
rx(1.2645) q[1];
rz(0.0098) q[1];
rx(-0.0028) q[2];
rz(0.0015) q[2];
rx(0.1389) q[3];
rz(0.008) q[3];
rx(0.2869) q[4];
rz(0.0054) q[4];
rx(1.3951) q[5];
rz(0.004) q[5];
rx(2.1076) q[6];
rz(0.0006) q[6];
rx(2.1048) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378977, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 84.311931848526} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "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];
cry(1.5486) q[4], q[3];
cry(1.566) q[3], q[1];
cry(1.228) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(1.3851) q[6], q[5];
cry(-1.1871) q[6], q[0];
cry(0.8636) q[5], q[6];
ry(-0.3736) q[2];
cry(0.3921) q[4], q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
4921841307151592341 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5], [1, 6, 7], [2, 7], [2, 4, 5], [0, 6], [3, 6]]} | {"states": [213, 204], "expectation_value": -0.018126642183773335, "params": [[-0.038400000000000004], [0.048]], "bitstrings": ["100101010", "100110011"], "total_optimization_steps": 10, "probabilities": [0.002018315185430981, 0.0020183265482417176], "optimization_time": 1.8189618587493896} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4999999999999996, "smallest_bitstrings": ["100110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(-0.0128) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(-0.0256) q[5];
cx q[2], q[5];
cx q[8], q[5];
rz(-0.0128) q[5];
cx q[8], q[5];
cx q[6], q[1];
rz(-0.0128) q[1];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(x1) q[5];
cx q[2], q[5];
cx... | null | {"circuits": [], "gradients": []} |
fca2293c2a9a83d1eeb5cc8ed6acc934 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [86, 116], "expectation_value": -4.999874628887887, "params": null, "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 36, "probabilities": [1.7184297198140115e-05, 0.9999247925092263], "optimization_time": 30.60362195968628} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.4449) q[6];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[2];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[6];
cry(-0.1259) q[1], q[5];
cry(0.1248) q[4], q[0];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [342, 218], "expectation_value": -17.647720800883096, "params": [[-0.0356, -0.0045000000000000005], [0.0727, 0.0743]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007091877322109995, 0.008663731243218153], "optimization_time": 3.1837475299835205} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3204) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3204) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3204) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.3204) q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
60093ea65732b343d8ac63be7dcb7e35 | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -0.5630419702565979, "params": [[-0.007500000000000001, 0.0383, 0.0221, 0.0016], [0.060000000000000005, -0.016900000000000002, -0.023700000000000002, -0.0123]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010027807885497807, 0.01011... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0075) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0038) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(0.0188) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.015) q[6];
cx q[0], q[6];
cx q[5], 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -5.63002705054771, "params": [[[0.0036000000000000003, 0.4631], [0.0025, 0.5849], [0.0024000000000000002, 0.6001000000000001], [0.0005, 0.2245], [0.0028, 0.5656], [0.0011, 0.29460000000000003], [0.8041, 0.0024000000000000002]], [[0.0035, 0.009000000000000001], [0.0025, 0.0097], [... | -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 | 2 | {"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;
rx(0.0036) q[0];
rz(0.4631) q[0];
rx(0.0025) q[1];
rz(0.5849) q[1];
rx(0.0024) q[2];
rz(0.6001) q[2];
rx(0.0005) q[3];
rz(0.2245) q[3];
rx(0.0028) q[4];
rz(0.5656) q[4];
rx(0.0011) q[5];
rz(0.2946) q[5];
rx(0.8041) q[6];
rz(0.0024) q[6];
rx(0.0035) q[0];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424045, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.1789092677225211, 0.6993291558722774], "optimization_time": 411.5449733734131} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100001000101", "1000100100001", "1100101010001", "1100101100001", "1000000000101", "1100010000101", "1000000000011... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(-1.5577) q[12];
ry(1.5708) q[8];
ry(1.5708) q[9];
ry(1.5681) q[7];
ry(1.5681) q[2];
cry(1.5486) q[1], q[5];
cry(1.0861) q[6], q[1];
cry(-1.4448) q[2... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... |
-4284878925079866635 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3], [8, 2], [2, 3, 7], [1, 9, 7], [10, 6, 7], [3, 4], [8, 5], [2, 5, 6], [9, 2, 5, 1], [9, 4, 7], [1, 2, 7], [3, 5, 6, 9, 10]]} | {"states": [477, 469], "expectation_value": -2.4541363171302795, "params": [0.38170000000000004, 0.4254, 0.3814, 0.0085, 0.9863000000000001, -0.2687, 0.9818, 0.0031000000000000003, 1.195, -0.024300000000000002, 1.193, 0.0077, 1.2042000000000002, 0.1967, 1.199, 0.0074, 1.1957, 0.0054, 1.1992, 0.0016, 0.5811000000000001,... | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(8)) + 0.05 * (Z(10) @ Z(4)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.... | 5 | 11 | 1 | {"smallest_eigenvalues": [-4.116666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.116666666666667, "smallest_bitstrings": ["11000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3817) q[0];
rz(0.4254) q[0];
rx(0.9863) q[1];
rz(-0.2687) q[1];
rx(1.195) q[2];
rz(-0.0243) q[2];
rx(1.2042) q[3];
rz(0.1967) q[3];
rx(1.1957) q[4];
rz(0.0054) q[4];
rx(0.5811) q[5];
rz(0.3603) q[5];
rx(1.2036) q[6];
rz(0.1439) q[6];
rx(0.9912) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 3], "expectation_value": -3.6038502648729045, "params": [[0.0785, 0.077, 0.07540000000000001], [-0.0855, -0.0834, -0.08170000000000001]], "bitstrings": ["110110", "111100"], "total_optimization_steps": 10, "probabilities": [0.049681539547959584, 0.04990443646192443], "optimization_time": 2.70960569381713... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110110", "110100"]} | 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(-0.1963) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1963) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.157) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.1177) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
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