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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -27.94695215482127, "params": [[0.031200000000000002, 0.0004, -0.0053], [-0.0893, -0.07980000000000001, -0.0752]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.02492510890790942, 0.03184039701288286], "optimization_time": 6.481198310... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1872) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1872) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1872) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1872) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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\": 5}"} | {"circuits": [], "gradients": []} |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 18], "expectation_value": -0.424959491183294, "params": [[-0.054, -0.0487, -0.0669, -0.07490000000000001], [0.0651, 0.0563, 0.06620000000000001, 0.0722]], "bitstrings": ["011110", "101101"], "total_optimization_steps": 10, "probabilities": [0.02567548597044405, 0.02567548597044409], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.054) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(-0.0135) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0135) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.0135) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
27f1da5722ded99f334fcda44f20bf4d | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [81, 70], "expectation_value": -0.8162172149976432, "params": [[-0.048400000000000006, -0.06770000000000001, -0.0636], [0.0393, 0.06720000000000001, 0.0697]], "bitstrings": ["0101110", "0111001"], "total_optimization_steps": 10, "probabilities": [0.012136147420448955, 0.012653084638719997], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111001", "0110110", "0110101", "0101101", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0484) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0484) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(-0.0484) q[5];
cx q[1], q[5];
cx q[1], q[6];
rz(-0.0484) q[6];
cx q[1], q[6];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
4eac9eaaffca52f298d0c518b2482b0f | 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": [598, 602], "expectation_value": -86.45381342136274, "params": [[[0.9172, -0.0033], [0.1437, 0.0031000000000000003], [0.017400000000000002, -0.0018000000000000002], [0.7387, 0.0011], [0.0526, -0.0028], [0.9239, 0.0983], [0.6429, 0.1857], [-0.0094, 0.1421], [1.0657, 0.3526], [-0.09620000000000001, 0.1885]], [... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + -2.0 * Z(1) + 6.0 * Z(0) + 16.5 * Z(3) + -6.0 * Z(2) + 2.5 * Z(4) + 12.5 * Z(5) + 2.0 * Z(7) + 6.5 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["0110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9172) q[0];
ry(0.1437) q[1];
ry(0.0174) q[2];
ry(0.7387) q[3];
ry(0.0526) q[4];
ry(0.9239) q[5];
ry(0.6429) q[6];
ry(-0.0094) q[7];
ry(1.0657) q[8];
ry(-0.0962) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
4187cb356e6f58a0c6714f20153352eb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -10.027692267382603, "params": [0.0017000000000000001, 0.0064, 0.0026000000000000003, 0.0027, 0.0023, 0.0086, 0.0023, 0.003, 1.1939, 0.0002, 0.0023, 0.0036000000000000003, 0.0024000000000000002, 0.0015, 1.1745, 0.0091, 1.5985, 0.0097, 0.006900000000000001, 0.001, 0.00290000000000... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0017) q[0];
rz(0.0064) q[0];
rx(0.0026) q[1];
rz(0.0027) q[1];
rx(0.0023) q[2];
rz(0.0086) q[2];
rx(0.0023) q[3];
rz(0.003) q[3];
rx(1.1939) q[4];
rz(0.0002) q[4];
rx(0.0023) q[5];
rz(0.0036) q[5];
rx(0.0024) q[6];
rz(0.0015) q[6];
rx(1.1745) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
54a726d08c469ae589dc338d500cf5e1 | 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": [933, 805], "expectation_value": -84.02047012451081, "params": [0.0029000000000000002, 0.008700000000000001, 2.6079000000000003, 0.0019, 2.6063, 0.0058000000000000005, 1.5493000000000001, 0.0064, 0.1101, 0.0055000000000000005, 2.5969, 0.002, -0.012700000000000001, 0.001, 0.0019, 0.004, 2.5986000000000002, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + -5.5 * Z(0) + 8.0 * Z(1) + 9.0 * Z(3) + 12.0 * Z(2) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["10011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0029) q[0];
rz(0.0087) q[0];
rx(2.6079) q[1];
rz(0.0019) q[1];
rx(2.6063) q[2];
rz(0.0058) q[2];
rx(1.5493) q[3];
rz(0.0064) q[3];
rx(0.1101) q[4];
rz(0.0055) q[4];
rx(2.5969) q[5];
rz(0.002) q[5];
rx(-0.0127) q[6];
rz(0.001) q[6];
rx(0.0019) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.503095314584745, "params": [[0.0363, 0.0309, 0.042100000000000005, -0.042800000000000005], [-0.0397, -0.0303, -0.041, -0.0129]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.020462624730475932, 0.021268545052484465], "optimization_t... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0181) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0726) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0363) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.0181) q[4];
cx q[1], q[4];
cx q[5], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [1, 3], "expectation_value": -7.749999979146519, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 16, "probabilities": [0.24999999791686373, 0.24999999791686373], "optimization_time": 9.28279995918274} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
cry(-1.5706) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = measure q[4];
c[5... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.049309984395377454, "params": [[-0.0682], [0.0668]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.03323461518761117, 0.033816471383145405], "optimization_time": 0.7130029201507568} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"]} | 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(-0.0682) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0682) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0682) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(-0.0682) q[2];
cx q[3], q[2];
rz(0.0682) q[1];
rz(0.0682) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} |
894a3266b9ae796e98ef82933298f939 | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [2047, 63], "expectation_value": -1.6306113611543307, "params": [[-0.0558], [0.061000000000000006]], "bitstrings": ["00000000000", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.0007982176885885154, 0.0008176291207271655], "optimization_time": 2.0133824348449707} | -3.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["11111000000"]} | 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(0.3348) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.279) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3348) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3348) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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": []} |
5ed4b8ee16f7e72bb67d4fb9545eb28a | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [79, 71], "expectation_value": -4.061051636843899, "params": [-0.006200000000000001, 0.19870000000000002, 0.40140000000000003, 0.1009, -0.0132, 0.2155, -0.0137, 0.2195, 0.3875, 0.010100000000000001, 0.40650000000000003, 0.0037, 0.4076, -0.0007, 0.4001, 0.001, -0.0085, 0.2016, 0.4011, 0.108, -0.0149, 0.217800... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10111000", "11110000", "01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0062) q[0];
rz(0.1987) q[0];
rx(0.4014) q[1];
rz(0.1009) q[1];
rx(-0.0132) q[2];
rz(0.2155) q[2];
rx(-0.0137) q[3];
rz(0.2195) q[3];
rx(0.3875) q[4];
rz(0.0101) q[4];
rx(0.4065) q[5];
rz(0.0037) q[5];
rx(0.4076) q[6];
rz(-0.0007) q[6];
rx(0.4001) 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": []} |
7066736891046291838 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [0, 1, 5], [2, 4, 5], [0, 2, 3, 4, 6], [1, 3, 4, 6], [0, 1, 2, 4, 6], [0, 1, 3, 4]]} | {"states": [78, 79], "expectation_value": -0.6304371665594062, "params": [[-0.24830000000000002], [0.2582]], "bitstrings": ["0110001", "0110000"], "total_optimization_steps": 30, "probabilities": [0.013050961998490589, 0.013490491298386028], "optimization_time": 2.819059133529663} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3 * (Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000001, "smallest_bitstrings": ["0110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[2];
rz(-0.1076) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(-0.0828) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-0.1655) q[5];
cx q[2], q[5];
cx q[3], q[0];
rz(-0.0662) q[0];
cx q[3], q[0];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
38d3fa2976b5708749ef569b176bf86a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.8073552157058876, "params": [[-0.029300000000000003, 0.0161, 0.053700000000000005, 0.0738], [0.0533, 0.0328, -0.0264, -0.0512]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.04253719856844824, 0.0452557093560412], "optimization_time": ... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -2.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(3) + -0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(0.044) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0879) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.1612) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(0.0293) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0586) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
27c2ca9f9af00d2d9b173e5cb28c53de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [127, 126], "expectation_value": -7.981222481466071, "params": [[[-0.2028, 3.1624000000000003], [-0.0027, -0.0194], [0.0029000000000000002, 0.0028], [0.0024000000000000002, -0.0029000000000000002], [0.0026000000000000003, 0.0026000000000000003], [1.5977000000000001, 0.0025], [-0.0025, -0.0024000000000000002]... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.2028) q[0];
ry(-0.0027) q[1];
ry(0.0029) q[2];
ry(0.0024) q[3];
ry(0.0026) q[4];
ry(1.5977) 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(3.1624) q[0];
ry(-0.0194) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"node": 7} | {"circuits": [], "gradients": []} |
1488d8cf8514de14dc21aa1b6b5c22ab | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 2, "source":... | {"states": [1280, 1284], "expectation_value": -12.60820691555069, "params": [-0.0015, 0.0014, 0.17, 0.2094, 0.0016, 0.0039000000000000003, 0.3921, 0.3876, -0.0022, 0.006900000000000001, -0.0001, 0.006500000000000001, 0.004, -0.0002, 0.0055000000000000005, -0.0033, 0.0015, -0.0007, -0.2306, -0.23120000000000002, 0.0097,... | -0.25 * (Z(0) @ Z(9)) + -0.5 * (Z(2) @ Z(9)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(9)) + -1.25 * (Z(8... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["101011111011", "101011111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0015) q[0];
ry(0.17) q[1];
ry(0.0016) q[2];
ry(0.3921) q[3];
ry(-0.0022) q[4];
ry(-0.0001) q[5];
ry(0.004) q[6];
ry(0.0055) q[7];
ry(0.0015) q[8];
ry(-0.2306) q[9];
ry(0.0097) q[10];
ry(0.0022) q[11];
crx(0.3558) q[11], q[0];
crx(0.5616) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.011857276656371825, "params": [[0.017], [-0.0245]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.007929822301693224, 0.007943044010018833], "optimization_time": 1.6865870952606201} | -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 | 1 | {"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];
cx q[4], q[0];
rz(-0.0085) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0085) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.017) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.0255) q[1];
cx q[4], q[1];
cx q[4], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(x0)... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3004355c8615a6969336e2d6fce36811 | 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": [1859, 835], "expectation_value": -93.43421012035176, "params": [0.22210000000000002, 0.21680000000000002, 0.5001, 0.4978, 0.4882, 0.49350000000000005, 0.24020000000000002, 0.2215, 0.49150000000000005, 0.4929, 0.09230000000000001, 0.0869, -0.0005, -0.0023, 0.014400000000000001, 0.0023, 0.0901, 0.0853, 0.4925... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(10) @ Z(8)) + 7.5 * Z(0) + 8.5 * Z(1) + 6.0 * Z(2) + 5.0 * Z(3) + 1... | 14 | 11 | 3 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["10010111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.2221) q[0];
ry(0.5001) q[1];
ry(0.4882) q[2];
ry(0.2402) q[3];
ry(0.4915) q[4];
ry(0.0923) q[5];
ry(-0.0005) q[6];
ry(0.0144) q[7];
ry(0.0901) q[8];
ry(0.4925) q[9];
ry(0.4837) q[10];
crx(0.3989) q[10], q[0];
crx(0.0453) q[9], q[10];
crx(0.4873) q[8], 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 90], "expectation_value": -1.7078306821951004, "params": null, "bitstrings": ["0101001", "0100101"], "total_optimization_steps": 54, "probabilities": [0.1005365462435313, 0.7008987205575532], "optimization_time": 77.76841711997986} | 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(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | 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(-1.3016) q[5], q[1];
cry(-0.5926) q[3], q[4];
ry(1.0619) q[0];
cry(-0.8136) q[4], q[3];
cry(-0.4755) q[2], q[1];
ry(0.6649) q[5];
cry(0.8947) q[5], q[2];
ry(-0.2964) q[1];
cry(0.4386) q[5], q[0];
cry(... | 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];\ncry(-1.3016) q[5], 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... |
8abcecb9be692ba9d31a27398366ffa4 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 16.689149618148804} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
cry(-0.1188) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
2520070048618548037 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [1, 3, 4, 7, 8, 9, 11], [10, 11], [0, 3, 4, 6, 7, 8, 11], [0, 1, 2, 3, 5, 6, 8, 9, 11], [0, 1, 2, 3, 4, 5, 6, 7, 9]]} | {"states": [2813, 2781], "expectation_value": -1.33495575183185, "params": [1.6876, -0.1058, 0.8791, 0.0067, 0.684, -0.7859, 0.5532, 0.0006000000000000001, 1.6856, -0.0495, 1.3562, 0.0098, 0.7525000000000001, -0.7671, 0.5473, 0.0088, 1.6877, -0.0366, 1.3549, 0.0086, 1.6881000000000002, -0.0477, 1.3549, 0.0008, 1.4105, ... | 0.03888888888888889 * (Z(0) @ Z(2)) + 0.03888888888888889 * (Z(3) @ Z(2)) + 0.0626984126984127 * (Z(3) @ Z(0)) + 0.025 * (Z(4) @ Z(2)) + 0.04880952380952381 * (Z(4) @ Z(0)) + 0.07261904761904761 * (Z(4) @ Z(3)) + 0.03888888888888889 * (Z(5) @ Z(2)) + 0.03888888888888889 * (Z(5) @ Z(0)) + 0.03888888888888889 * (Z(5) @ Z... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.3809523809523814, -1.3809523809523814, -1.3809523809523814, -1.3809523809523814, -1.3809523809523814, -1.3809523809523814], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.380952380952381, "smallest_bitstrings": ["010100100010", "110000001010", "110010000010", "110000010010"... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6876) q[0];
rz(-0.1058) q[0];
rx(0.684) q[1];
rz(-0.7859) q[1];
rx(1.6856) q[2];
rz(-0.0495) q[2];
rx(0.7525) q[3];
rz(-0.7671) q[3];
rx(1.6877) q[4];
rz(-0.0366) q[4];
rx(1.6881) q[5];
rz(-0.0477) q[5];
rx(1.4105) q[6];
rz(-0.3622) q[6];
rx(1.6864) 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": []} |
64a6a8fe1cb9ef7d229e464b8e6d867d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [25, 73], "expectation_value": -4.996398057800715, "params": null, "bitstrings": ["1100110", "0110110"], "total_optimization_steps": 27, "probabilities": [0.06635227146986615, 0.9303267354068143], "optimization_time": 27.46463894844055} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110011", "1100110", "0110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[6];
cry(-1.0343) q[0], q[2];
ry(0.7003) q[0];
cry(-0.1259) q[6], q[1];
ry(-0.4549) q[2];
cry(0.4962) q[6], 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
15e35ae217d15e40c149745d453d2b3f | 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": [187, 179], "expectation_value": -105.21863157451423, "params": [0.0022, 0.0006000000000000001, 0.0021000000000000003, 0.0024000000000000002, 3.1462000000000003, 0.005200000000000001, -0.0025, 0.006500000000000001, 3.1454, 0.00030000000000000003, 3.1463, 0.0077, 1.4808000000000001, 0.0049, 0.002, 0.002400000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(9) @ Z(6)) + 6.0 * (Z(9) ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["1101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0022) q[0];
rz(0.0006) q[0];
rx(0.0021) q[1];
rz(0.0024) q[1];
rx(3.1462) q[2];
rz(0.0052) q[2];
rx(-0.0025) q[3];
rz(0.0065) q[3];
rx(3.1454) q[4];
rz(0.0003) q[4];
rx(3.1463) q[5];
rz(0.0077) q[5];
rx(1.4808) q[6];
rz(0.0049) q[6];
rx(0.002) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
39cc9c4f755324c5b5e65a794333a058 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [42581, 22954], "expectation_value": -1.999475499635191, "params": [[3.109], [-0.39540000000000003]], "bitstrings": ["0101100110101010", "1010011001010101"], "total_optimization_steps": 320, "probabilities": [0.003906970358633658, 0.00390697035863366], "optimization_time": 142.1749713420868} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + 0.000390625 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + 0.000390625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009765625 * (Z(6) @ Z(0)) + -0.0009765625 * (... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021874999999969], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0218749999999366, "smallest_bitstrings": ["1010011001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(1.5545) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0073) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0073) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [102, 58], "expectation_value": -0.11429860506430278, "params": [[-0.0531, -0.0341], [0.0673, 0.0514]], "bitstrings": ["0011001", "1000101"], "total_optimization_steps": 10, "probabilities": [0.009457377910642823, 0.009457377910642824], "optimization_time": 4.395106792449951} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"]} | 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(-0.0266) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0266) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0266) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0266) q[0];
cx 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] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
ede4c031814d4282edbbb882f9d80bed | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [127, 1023], "expectation_value": -0.8539891763327687, "params": [[0.038900000000000004], [-0.027700000000000002]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0012100165527854383, 0.0012253839835189386], "optimization_time": 4.038647174835205} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + -3.0 * (Z(7) @ Z(4)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "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[2], q[0];
rz(-0.1167) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1167) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0389) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.2334) q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 7} | {"circuits": [], "gradients": []} |
2e6ea11e2a4f0b1c9b569231867d91ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [170, 426], "expectation_value": -2.894135447697472, "params": [[0.5535, 1.2987, 0.0049, 0.9476, 0.163, 1.1256000000000002, -0.0027, 1.0885, -0.0033], [0.009600000000000001, 0.5228, -0.0025, 1.236, 0.0024000000000000002, 0.9157000000000001, -0.0258, 1.0148000000000001, -0.003], [1.2967, 1.2952000000000001, -... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(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)... | 10 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["001001101", "011100001", "100001011", "101010001", "001100101", "100010011", "001010101", "001110001", "010100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5535) q[0];
ry(1.2987) q[1];
ry(0.0049) q[2];
ry(0.9476) q[3];
ry(0.163) q[4];
ry(1.1256) q[5];
ry(-0.0027) q[6];
ry(1.0885) q[7];
ry(-0.0033) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c3bf44cd77c1dba6224f98be8925cc65 | 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": 4, "target": 5},... | {"states": [1788, 1791], "expectation_value": -14.457016564494875, "params": null, "bitstrings": ["00100000011", "00100000000"], "total_optimization_steps": 100, "probabilities": [0.13308922677479856, 0.4355953945921221], "optimization_time": 181.82245445251465} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["00100000000"]} | 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[8];
cry(1.5708) q[8], q[5];
cry(1.5689) q[5], q[6];
cry(1.2087) q[5], q[7];
cry(-0.6314) q[5], q[8];
cry(-0.0377) q[6], q[8];
ry(-0.1321) q[8];
cry(1... | 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[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[... |
a6da0588e4f06076b5c2f06ef98c16c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, ... | {"states": [115, 109], "expectation_value": -21.74939019737022, "params": [[0.0297, 0.007500000000000001, -0.0001], [-0.061900000000000004, -0.0555, -0.060000000000000005]], "bitstrings": ["10001100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011676998358793366, 0.014177798858805378], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 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(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 9.0 * Z(3) + 12... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2376) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2376) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.2376) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.2376) q[4];
cx q[1], q[4];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
452721255938076845 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [5, 7], [0, 7], [2, 3], [0, 4], [2, 6]]} | {"states": [214, 228], "expectation_value": -0.02822121635584538, "params": [[0.0539], [-0.0439]], "bitstrings": ["00101001", "00011011"], "total_optimization_steps": 10, "probabilities": [0.0041305922993115606, 0.0041305922993115606], "optimization_time": 0.6008923053741455} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100100", "00011011", "11010110", "00101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(0.0539) q[1];
cx q[7], q[1];
cx q[7], q[5];
rz(0.0539) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(0.0539) q[0];
cx q[7], q[0];
cx q[3], q[2];
rz(0.0539) q[2];
cx q[3], q[2];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[3]... | null | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 15, "source": 1, "targe... | {"states": [62, 30], "expectation_value": -22.578285716631957, "params": [[-0.0436, -0.0089, 0.006900000000000001], [0.0811, 0.0746, 0.068]], "bitstrings": ["000001", "100001"], "total_optimization_steps": 10, "probabilities": [0.05128625842281548, 0.053501224210386694], "optimization_time": 7.018147230148315} | 2.5 * (Z(0) @ Z(1)) + 2.5 * (Z(2) @ Z(1)) + 2.5 * (Z(2) @ Z(0)) + 2.5 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + 13.0 * Z(1) + 8.5 * Z(0) + 14.0 * Z(2) + 12.5 * Z(3) + 1... | 1 | 6 | 3 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.0, "smallest_bitstrings": ["100001"]} | 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(-0.218) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.218) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.218) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.218) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.218... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 4}"} | {"circuits": [], "gradients": []} |
8ccb61531a0518dab46daa7987f55ae4 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [448, 455], "expectation_value": -16.643804096443752, "params": null, "bitstrings": ["000111111", "000111000"], "total_optimization_steps": 100, "probabilities": [0.12433490160954146, 0.5532257897192379], "optimization_time": 130.24446082115173} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"]} | 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(-1.5708) q[5];
ry(-1.5577) q[3];
ry(-1.5708) q[4];
cry(1.5681) q[7], q[8];
cry(1.5708) q[8], q[6];
cry(1.2536) q[6], q[7];
cry(0.4771) q[6], q[8];
cry(1.5681) q[1], q[2];
cry(1.5708) q[... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
4e2f70adf965c859c016ba7845e205dc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -10.993560753888882, "params": [[[0.0022, 0.0057], [0.0026000000000000003, -0.002], [0.0032, 0.002], [0.8056000000000001, 0.0032], [0.0029000000000000002, 0.0031000000000000003], [0.0029000000000000002, 0.0021000000000000003], [0.0021000000000000003, 0.0025], [-0.0016, -0.003... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0022) q[0];
ry(0.0026) q[1];
ry(0.0032) q[2];
ry(0.8056) q[3];
ry(0.0029) q[4];
ry(0.0029) q[5];
ry(0.0021) q[6];
ry(-0.0016) q[7];
ry(-0.0023) q[8];
ry(-2.7208) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
347cd23786ada5a7ec96f3799dd0d8dc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [118, 117], "expectation_value": -13.080426710873386, "params": [[0.0298, 0.021400000000000002, -0.0024000000000000002, 0.0165], [-0.0344, -0.0378, -0.0183, -0.0233]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.009552309437378479, 0.012500614786396242], "optim... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2384) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2384) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2384) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.2384) q[3];
cx q[2], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [719, 717], "expectation_value": -2.779228540884615, "params": [[[1.5730000000000002, 1.5730000000000002], [1.5723, 1.5687], [1.5728, 1.5729], [1.5727, -1.5737], [1.5728, 1.5733000000000001], [1.5685, -1.574], [1.5687, 1.5729], [1.5686, -1.3154000000000001], [1.5687, 0.0614], [1.5730000000000002, -0.98620000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110001", "0100101100", "0101110000", "0110001100", "0110000101", "1100100100", "0110010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.573) q[0];
ry(1.5723) q[1];
ry(1.5728) q[2];
ry(1.5727) q[3];
ry(1.5728) q[4];
ry(1.5685) q[5];
ry(1.5687) q[6];
ry(1.5686) q[7];
ry(1.5687) q[8];
ry(1.573) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
3449581185491396938 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 7], [8, 2, 5, 6], [0, 1, 4, 7, 9], [4, 6], [1, 4, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 3, 6], [1, 5, 7], [1, 3, 4, 7, 9], [1, 3, 4, 8, 9], [0, 3, 4, 5, 7], [8, 1, 6], [8, 1, 2]]} | {"states": [695, 882], "expectation_value": -1.560663549255898, "params": [[-0.2664], [0.2711]], "bitstrings": ["0101001000", "0010001101"], "total_optimization_steps": 30, "probabilities": [0.0028211453378762102, 0.0028380148503570693], "optimization_time": 5.227173805236816} | 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(4)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333344, -3.3333333333333344], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3000000000000003, "smallest_bitstrings": ["0010001101", "0000100110"]} | 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(-0.0533) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1154) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.071) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1954) q[4];
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": []} |
4788755b9046cb997ec5043a21f8c9e6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [366, 236], "expectation_value": -37.89171134271568, "params": null, "bitstrings": ["010010001", "100010011"], "total_optimization_steps": 100, "probabilities": [0.06937887547688923, 0.21790465421583316], "optimization_time": 183.27876377105713} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-9.1684) q[1];
ry(12.5337) q[5];
ry(34.5353) q[3];
ry(-6.435) q[6];
cry(37.3365) q[8], q[5];
cry(-63.431) q[8], q[1];
cry(-24.685) q[4], q[1];
cry(-62.9289) q[4], q[3];
cry(-35.6433) q[... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-9.1684) 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] = ... |
fcafdbb20200afc1c8dc4efe4b67024c | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [0, 15], "expectation_value": -0.7800270309795839, "params": [[-0.0292], [0.021]], "bitstrings": ["11111111111", "11111110000"], "total_optimization_steps": 10, "probabilities": [0.0005705668390788901, 0.0005760872547706327], "optimization_time": 4.4956374168396} | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -4.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -4.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 1.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["11111110000"]} | 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(0.2044) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2044) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1752) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2336) 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 3} | {"circuits": [], "gradients": []} |
dd2cbc0832de721030b1d6a15eb211d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source":... | {"states": [2047, 1535], "expectation_value": -40.21505440665416, "params": [[[-0.013900000000000001, 0.0028], [-0.0022, -0.0033], [0.6104, -0.0017000000000000001], [-0.0059, -0.0004], [-0.0077, 0.002], [0.0013000000000000002, -0.0022], [-0.010100000000000001, -0.0021000000000000003], [0.0031000000000000003, 0.00210000... | -0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.0, "smallest_bitstrings": ["101000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0139) q[0];
ry(-0.0022) q[1];
ry(0.6104) q[2];
ry(-0.0059) q[3];
ry(-0.0077) q[4];
ry(0.0013) q[5];
ry(-0.0101) q[6];
ry(0.0031) q[7];
ry(0.0091) q[8];
ry(-0.0092) q[9];
ry(-1.5539) q[10];
ry(0.0053) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], 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": 11} | {"circuits": [], "gradients": []} |
5fc8ddd9b490928efab5d46a7fda09a4 | 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": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -13.03786388611666, "params": [[0.0403, 0.0102], [-0.0704, -0.0523]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01089121778857732, 0.011830860496455303], "optimization_time": 2.9050469398498535} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(0.3627) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.3627) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.3627) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(0.3627) q[5];
cx q[3], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
5e1f1e75ba04327de43b1491321a7511 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.49525576669495, "params": [0.0036000000000000003, 0.46990000000000004, 0.0027, 0.595, 0.0025, -0.5735, 0.0028, 0.4343, 0.0026000000000000003, 0.5887, 0.0024000000000000002, 0.6078, 0.0025, 0.6002000000000001, 0.8109000000000001, 0.0054, 0.0038, 0.0056, 0.0027, 0.0055000000000... | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 3 | 8 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0036) q[0];
rz(0.4699) q[0];
rx(0.0027) q[1];
rz(0.595) q[1];
rx(0.0025) q[2];
rz(-0.5735) q[2];
rx(0.0028) q[3];
rz(0.4343) q[3];
rx(0.0026) q[4];
rz(0.5887) q[4];
rx(0.0024) q[5];
rz(0.6078) q[5];
rx(0.0025) q[6];
rz(0.6002) q[6];
rx(0.8109) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [16, 1], "expectation_value": -12.904452027632477, "params": [[-0.0403, -0.0257], [0.0604, 0.0591]], "bitstrings": ["101111", "111110"], "total_optimization_steps": 10, "probabilities": [0.029615014841368973, 0.031130030542256888], "optimization_time": 4.0336573123931885} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 16 | 6 | 2 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2217) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2217) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2217) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2217) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 5} | {"circuits": [], "gradients": []} |
-1780784873200578641 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 6, 8, 9], [0, 2, 3, 4, 6], [2, 3, 5, 6, 7, 9], [0, 1, 4, 5, 7, 8], [0, 5, 6, 7], [0, 2, 3, 5, 8], [1, 5, 6, 7, 9], [1, 2, 3, 4, 5, 7, 8, 9], [2, 5, 6, 7, 8, 9], [0, 3, 6, 7, 8, 9], [0, 2, 6, 7, 8, 9], [0, 1, 2, 6, 9], [1, 3, 4, 5, 6, 7, 8]]} | {"states": [891, 859], "expectation_value": -2.488290627403603, "params": [1.582, 1.5545, 1.6336000000000002, 1.5128000000000001, -0.0005, 0.0019, 1.8030000000000002, 1.3425, 0.7180000000000001, 0.7149, 1.5784, 1.5582, 1.5917000000000001, 1.5446, -0.0043, -0.005200000000000001, 1.2338, 1.3369, 1.2627000000000002, 1.874... | 0.175 * (Z(2) @ Z(3)) + 0.11547619047619048 * (Z(4) @ Z(3)) + 0.09166666666666667 * (Z(4) @ Z(2)) + 0.1488095238095238 * (Z(5) @ Z(3)) + 0.15833333333333333 * (Z(5) @ Z(2)) + 0.0988095238095238 * (Z(5) @ Z(4)) + 0.16428571428571428 * (Z(6) @ Z(3)) + 0.2238095238095238 * (Z(6) @ Z(2)) + 0.09761904761904762 * (Z(6) @ Z(4... | 13 | 10 | 1 | {"smallest_eigenvalues": [-2.5583333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.528571428571428, "smallest_bitstrings": ["0010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.582) q[0];
ry(1.6336) q[1];
ry(-0.0005) q[2];
ry(1.803) q[3];
ry(0.718) q[4];
ry(1.5784) q[5];
ry(1.5917) q[6];
ry(-0.0043) q[7];
ry(1.2338) q[8];
ry(1.2627) q[9];
crz(-0.002) q[9], q[0];
crz(-0.0052) q[8], q[9];
crz(-1.2455) q[7], q[8];
crz(0.0027) 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": []} |
6b8130ebe692df9628e386b5e0979c6b | 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": 6, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [256, 223], "expectation_value": -0.7777901129730531, "params": [[0.050100000000000006], [-0.0424]], "bitstrings": ["011111111", "100100000"], "total_optimization_steps": 10, "probabilities": [0.0024760693649285744, 0.0025500864860453203], "optimization_time": 3.188631772994995} | -1.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.1503) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0251) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0501) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.1754) q[5];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [11, 52], "expectation_value": -0.10190804419081068, "params": [[0.006500000000000001, 0.047, 0.06810000000000001], [0.0182, -0.0302, -0.049100000000000005]], "bitstrings": ["110100", "001011"], "total_optimization_steps": 10, "probabilities": [0.01799350268168229, 0.01799350268168229], "optimization_time": ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "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[5], q[0];
rz(0.0065) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(0.0065) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0065) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0065) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0065... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0... | null | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [40, 42], "expectation_value": -2.2958125944065353, "params": [[[1.6042, 0.0038], [0.0025, 0.0088], [1.6007, 0.0009000000000000001], [0.0027, 0.0055000000000000005], [1.5991, 0.0097], [0.0026000000000000003, 0.0022]]], "bitstrings": ["010111", "010101"], "total_optimization_steps": 160, "probabilities": [0.1... | 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 | 1 | {"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;
rx(1.6042) q[0];
rz(0.0038) q[0];
rx(0.0025) q[1];
rz(0.0088) q[1];
rx(1.6007) q[2];
rz(0.0009) q[2];
rx(0.0027) q[3];
rz(0.0055) q[3];
rx(1.5991) q[4];
rz(0.0097) q[4];
rx(0.0026) q[5];
rz(0.0022) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -0.8603909838719472, "params": [[0.0694, 0.055, 0.0235], [-0.0781, -0.0533, -0.0379]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.02285906667086452, 0.022859066670864545], "optimization_time": 4.864539384841919} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"]} | 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(0.0694) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0694) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0694) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0694) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0694... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
-5187214737773028613 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 5, 6, 8], [0, 1, 2, 4, 5, 6, 7, 8], [1, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 6, 7], [0, 1, 3, 4, 5, 6], [0, 2, 3, 4, 5, 6, 7, 8]]} | {"states": [238, 245], "expectation_value": -0.5871266808858563, "params": [[0.3815], [-0.3856]], "bitstrings": ["100010001", "100001010"], "total_optimization_steps": 40, "probabilities": [0.003589777227997612, 0.0035897772279976127], "optimization_time": 4.23589563369751} | 0.09880952380952379 * (Z(0) @ Z(1)) + 0.06547619047619047 * (Z(2) @ Z(1)) + 0.08333333333333331 * (Z(2) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(1)) + 0.09880952380952379 * (Z(3) @ Z(0)) + 0.06547619047619047 * (Z(3) @ Z(2)) + 0.09880952380952379 * (Z(5) @ Z(1)) + 0.09285714285714286 * (Z(5) @ Z(0)) + 0.05952380952380... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.0928571428571425, -1.0928571428571425], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0928571428571423, "smallest_bitstrings": ["100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0754) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.05) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0636) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0799) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} |
6366756672736815379 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [4, 5], [0, 2], [0, 1, 7], [4, 6, 7], [0, 1, 3], [0, 3, 5], [1, 4, 7], [0, 6, 7], [0, 1, 4], [1, 2, 6], [5, 6]]} | {"states": [219, 155], "expectation_value": -2.8599039276970473, "params": [1.3998000000000002, 1.3918000000000001, 0.9341, 0.9054000000000001, 0.5038, 0.42700000000000005, 1.3948, 1.4005, 1.3904, 1.3918000000000001, 0.185, 0.17950000000000002, 1.3972, 1.4006, 1.3807, 1.389, 1.1905000000000001, 0.7661, -0.4124000000000... | 0.5 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.166666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["01100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.3998) q[0];
ry(0.9341) q[1];
ry(0.5038) q[2];
ry(1.3948) q[3];
ry(1.3904) q[4];
ry(0.185) q[5];
ry(1.3972) q[6];
ry(1.3807) q[7];
crx(1.1905) q[7], q[0];
crx(0.8826) q[6], q[7];
crx(-0.6059) q[5], q[6];
crx(-0.2529) q[4], q[5];
crx(1.0297) q[3], q[4];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] 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": [119, 127], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 71.46758365631104} | -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 | 3 | {"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[... |
4060c6f62958c919d94369053740f9b8 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [312, 314], "expectation_value": -4.530826915012632, "params": [0.4062, 0.40650000000000003, -0.0118, -0.0126, 0.1356, 0.1317, 0.4081, 0.40700000000000003, 0.3991, 0.4012, 0.4062, 0.4052, 0.1438, 0.1416, 0.4053, 0.399, -0.0135, -0.0098, 0.40080000000000005, 0.40090000000000003, -0.0132, -0.014, 0.139, 0.1353... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(6) + 0.0 * Z(0) + -2.0 * ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4062) q[0];
ry(-0.0118) q[1];
ry(0.1356) q[2];
ry(0.4081) q[3];
ry(0.3991) q[4];
ry(0.4062) q[5];
ry(0.1438) q[6];
ry(0.4053) q[7];
ry(-0.0135) q[8];
crx(0.3761) q[8], q[0];
crx(0.2361) q[7], q[8];
crx(-0.271) q[6], q[7];
crx(-0.0695) q[5], q[6];
crx(0.38... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
3669556b5012b2bd0210027af1e5ed26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -1.0353948973346014, "params": [[-0.0528, -0.08370000000000001], [0.0512, 0.0728]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003788383233525752, 0.003987168307719858], "optimization_time": 3.820356845855713} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000"]} | 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[6], q[0];
rz(0.0264) q[0];
cx q[6], q[0];
cx q[0], q[8];
rz(-0.0528) q[8];
cx q[0], q[8];
cx q[6], q[2];
rz(0.0528) q[2];
cx q[6], q[2];
cx q[8], q[2];
rz(0.0792) q[2];
cx q[8], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
366b890edf4c144f6141ff272a73bb47 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 511], "expectation_value": -6.22916786543761, "params": [0.0021000000000000003, 1.2951000000000001, 0.0011, 1.3852, 0.2099, 0.6677000000000001, 0.1218, 0.1366, 0.5116, 0.5345, -0.3725, 0.2199, 0.5685, 0.7337, 0.059000000000000004, 1.1781000000000001, 0.5694, 0.7095, -0.24180000000000001, 1.3402, 0.671, 0... | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 6 | 10 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0021) q[0];
rz(1.2951) q[0];
rx(0.2099) q[1];
rz(0.6677) q[1];
rx(0.5116) q[2];
rz(0.5345) q[2];
rx(0.5685) q[3];
rz(0.7337) q[3];
rx(0.5694) q[4];
rz(0.7095) q[4];
rx(0.671) q[5];
rz(0.9974) q[5];
rx(0.6523) q[6];
rz(0.6441) q[6];
rx(-0.7276) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
1851784417460130467 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1], [3, 6], [3, 4], [1, 6], [5, 6], [1, 2]]} | {"states": [42, 85], "expectation_value": -0.04875907460404645, "params": [[0.0704], [-0.0585]], "bitstrings": ["1010101", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008594089539812538, 0.008594089539812538], "optimization_time": 0.4606049060821533} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010101", "0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0704) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0704) q[6];
cx q[1], q[6];
cx q[6], q[3];
rz(0.0704) q[3];
cx q[6], q[3];
cx q[3], q[4];
rz(0.0704) q[4];
cx q[3], q[4];
cx q[6], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q[6];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[4];
... | null | {"circuits": [], "gradients": []} |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [0, 85], "expectation_value": -16.237398559117818, "params": [-0.5959, 0.1637, -0.3262, 0.1233, 0.6063000000000001, 0.24830000000000002, 0.4032, 0.9233, 0.0402, 0.6438, -0.0333, 0.8066, 0.5869, 0.4414, 0.4464, 1.2455, 0.3728, 0.2589, -0.1607, 0.5908, 0.5897, 0.6691, 0.43270000000000003, 1.2327000000000001, 0... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 6 | 8 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.5959) q[0];
rz(0.1637) q[0];
rx(0.6063) q[1];
rz(0.2483) q[1];
rx(0.0402) q[2];
rz(0.6438) q[2];
rx(0.5869) q[3];
rz(0.4414) q[3];
rx(0.3728) q[4];
rz(0.2589) q[4];
rx(0.5897) q[5];
rz(0.6691) q[5];
rx(0.2083) q[6];
rz(0.3581) q[6];
rx(0.6384) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
529e007fb284cea83bba4e890d111263 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -18.541377309065023, "params": [[[-0.9383, 1.0055], [-0.005200000000000001, 1.0038], [0.0039000000000000003, 0.0014], [0.0028, 0.6753], [0.0023, 0.0021000000000000003], [0.0024000000000000002, -0.0029000000000000002], [-0.0027, -0.0026000000000000003], [0.0025, 0.5518000000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.9383) q[0];
ry(-0.0052) q[1];
ry(0.0039) q[2];
ry(0.0028) q[3];
ry(0.0023) q[4];
ry(0.0024) q[5];
ry(-0.0027) q[6];
ry(0.0025) q[7];
ry(0.0022) q[8];
ry(0.0021) q[9];
ry(0.0022) q[10];
ry(0.0033) q[11];
ry(0.2446) q[12];
cx q[12], q[0];
cx q[11], q[12]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
366b890edf4c144f6141ff272a73bb47 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [487, 511], "expectation_value": -10.253794882010808, "params": null, "bitstrings": ["1000011000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.1560653977225837, 0.46765949797061507], "optimization_time": 152.03427529335022} | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[8], q[1];
ry(1.056) q[8];
cry(1.5707) q[8], q[9];
cry(1.5701) q[1], q[7];
ry(0.3717) q[1];
cry(1.5681) q[3], q[4];
ry(1.0829) q[3];
cry(1.5701) q[4], q[2];
ry(0.399... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[8], 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] = measu... |
90e33f0c23891c877a15a01400f5853c | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [144, 176], "expectation_value": -5.012081561604232, "params": [[0.4859, 0.7067, 0.3514, 0.7040000000000001, 0.0016, 0.0005, 0.0023, -0.034300000000000004], [0.6766, 0.4162, 0.0805, 0.54, 0.0019, -0.0026000000000000003, -0.0013000000000000002, 0.0158], [0.3658, 0.3592, 0.7489, 0.7914, 0.0027, -0.0037, -0.006... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["10111100", "11100011", "01001111", "10011110", "10001111", "01011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4859) q[0];
ry(0.7067) q[1];
ry(0.3514) q[2];
ry(0.704) q[3];
ry(0.0016) q[4];
ry(0.0005) q[5];
ry(0.0023) q[6];
ry(-0.0343) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry(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": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 21.26978898048401} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(1.4449) q[2];
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[2], q[5];
cry(-0.3789) q[2], 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[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... |
a18c3f06d92936730b6359d47cfc0d48 | 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": [349, 333], "expectation_value": -77.40085716559514, "params": [0.7336, 0.3425, -0.0012000000000000001, 0.0059, 1.1992, 0.3199, 0.4433, 0.6842, 1.2032, 0.2964, 0.5456, 0.5281, 0.7734000000000001, -0.2417, 1.2041, -0.0111, 1.2043000000000001, 0.0407, 0.0029000000000000002, 0.8272, 1.2024000000000001, 0.167700... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(0) @ Z(7)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 9.5 * Z(2) + 9.5 * Z(4) + 1.5 * Z(5) + 1... | 18 | 11 | 2 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7336) q[0];
rz(0.3425) q[0];
rx(-0.0012) q[1];
rz(0.0059) q[1];
rx(1.1992) q[2];
rz(0.3199) q[2];
rx(0.4433) q[3];
rz(0.6842) q[3];
rx(1.2032) q[4];
rz(0.2964) q[4];
rx(0.5456) q[5];
rz(0.5281) q[5];
rx(0.7734) q[6];
rz(-0.2417) q[6];
rx(1.2041) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-5016235471855996807 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5], [1, 3, 6], [0, 1, 3, 5], [3, 4, 6], [3, 5, 6], [0, 3, 6], [0, 4, 5], [2, 6], [0, 2], [1, 4, 5, 6], [1, 7]]} | {"states": [122, 124], "expectation_value": -2.422516342434423, "params": [[[0.2735, 0.6633, 0.0077, 0.0061], [0.053500000000000006, 0.6633, -0.011000000000000001, 0.0022], [1.5775000000000001, -0.004, 1.5873000000000002, 0.006900000000000001], [0.37670000000000003, 0.733, 0.1433, 0.0046], [1.5819, -0.00060000000000000... | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.66666666... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2735) q[0];
rz(0.6633) q[0];
ry(0.0535) q[1];
rz(0.6633) q[1];
ry(1.5775) q[2];
rz(-0.004) q[2];
ry(0.3767) q[3];
rz(0.733) q[3];
ry(1.5819) q[4];
rz(-0.0006) q[4];
ry(1.5935) q[5];
rz(0.0013) q[5];
ry(0.7866) q[6];
rz(0.3938) q[6];
ry(0.3891) 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": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 9], "expectation_value": -2.624903340271929, "params": null, "bitstrings": ["11111", "10110"], "total_optimization_steps": 14, "probabilities": [1.7181867225419193e-05, 0.9999371031796124], "optimization_time": 13.600596904754639} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5158) q[2];
ry(-1.4449) q[0];
ry(-1.445) q[3];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[0];
cry(0.1217) q[4], q[1];
cry(-0.1187) q[1], q[3];
cry(0.1214) q[1], q[4];
cry(-0.0519) q[4], q[2];
cry(-0.006... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5158) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
ef86cdfaf327bff6279da2b2e63cb516 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [724, 746], "expectation_value": -2.5265717663905822, "params": [[[0.5458000000000001, 0.0025], [0.2837, -0.0039000000000000003], [0.6878000000000001, 0.0497], [0.5650000000000001, 0.0741], [0.531, 0.0328], [0.4368, 0.0791], [0.6266, 0.1318], [0.0853, 0.3304], [0.6869000000000001, 1.1022], [0.525600000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010100110", "0010011100", "0010011001", "0010010110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5458) q[0];
ry(0.2837) q[1];
ry(0.6878) q[2];
ry(0.565) q[3];
ry(0.531) q[4];
ry(0.4368) q[5];
ry(0.6266) q[6];
ry(0.0853) q[7];
ry(0.6869) q[8];
ry(0.5256) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dd0fd296e5cefa508578d0a4d77f60d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [2986, 2987], "expectation_value": -1.4686803900941423, "params": [2.3077, 0.0085, 1.498, 0.009600000000000001, 2.2996000000000003, 0.0029000000000000002, 2.2918000000000003, 0.0039000000000000003, 2.305, 0.0094, 0.2852, 0.0054, 2.3045, 0.0005, 1.0992, 0.008700000000000001, 2.3043, 0.005200000000000001, 1.11... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 12 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_sma... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.3077) q[0];
rz(0.0085) q[0];
rx(1.498) q[1];
rz(0.0096) q[1];
rx(2.2996) q[2];
rz(0.0029) q[2];
rx(2.2918) q[3];
rz(0.0039) q[3];
rx(2.305) q[4];
rz(0.0094) q[4];
rx(0.2852) q[5];
rz(0.0054) q[5];
rx(2.3045) q[6];
rz(0.0005) q[6];
rx(1.0992) 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": []} |
7078550644986535312 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [1, 2, 3, 5, 6, 7], [0, 1, 2, 3, 5], [0, 2, 5, 7], [1, 2, 4, 5, 6, 7], [0, 4, 6], [1, 3, 4, 5, 6, 7], [0, 2, 3, 4, 7], [0, 1, 2, 3, 6, 7], [0, 2, 4, 5], [1, 2, 3, 4, 5, 7]]} | {"states": [215, 63], "expectation_value": -1.597698509514605, "params": [[0.3549], [-0.3443]], "bitstrings": ["00101000", "11000000"], "total_optimization_steps": 40, "probabilities": [0.011387791668911282, 0.011421029254164449], "optimization_time": 2.107274293899536} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.2 * (Z(4) @ Z(3)) + 0.3833333333333333 * (Z(4) @ Z(0)) + 0.23333333333333334 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.18333333333333332 * (Z(1) @ Z(3)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.1 * (Z(1) @ Z(4)) + 0.18333333333333332 * (Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.349999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3000000000000003, "smallest_bitstrings": ["11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.1538) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.142) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2721) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(0.1656) q[5];
cx q[3], q[5];
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[... | null | {"circuits": [], "gradients": []} |
4437579813316991303 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [0, 1, 2, 6], [0, 1, 2, 3, 4], [0, 3, 4, 5, 6], [0, 1, 4, 5, 6], [1, 2, 5, 6], [1, 3, 6], [0, 1, 2, 5]]} | {"states": [93, 91], "expectation_value": -0.8545995663887613, "params": [[0.2667], [-0.2645]], "bitstrings": ["0100010", "0100100"], "total_optimization_steps": 30, "probabilities": [0.014264106833946764, 0.014619643135386759], "optimization_time": 1.4723646640777588} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.15000000000000002 * (Z(0) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(2)) + 0.18333333333333335 * (Z(0) @ Z(5)) + 0.1 * (Z(1) @ Z(4)) + 0.3 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.266666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.85, "smallest_bitstrings": ["0100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(0.1156) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.1422) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.1778) q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(0.08) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 21.890662908554077} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0342) q[4], q[0];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[0];
cry(0.2489) q[2], q[4];
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... |
89d2069c6096a3a143a6d1a4e4e35879 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -24.017937541200666, "params": [[[-1.6088, 0.001], [-0.0025, 0.0071], [-0.0025, 0.0015], [0.0025, 0.0016], [0.0024000000000000002, 0.0012000000000000001], [0.0026000000000000003, 0.0081], [0.0023, 0.0041], [3.1620000000000004, 0.007]]], "bitstrings": ["00000000", "10000000"],... | -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -2.5 * (Z(2) @ Z(6)) + -3.0 *... | 2 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-1.6088) q[0];
rz(0.001) q[0];
rx(-0.0025) q[1];
rz(0.0071) q[1];
rx(-0.0025) q[2];
rz(0.0015) q[2];
rx(0.0025) q[3];
rz(0.0016) q[3];
rx(0.0024) q[4];
rz(0.0012) q[4];
rx(0.0026) q[5];
rz(0.0081) q[5];
rx(0.0023) q[6];
rz(0.0041) q[6];
rx(3.162) 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] 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... | {"node": 0} | {"circuits": [], "gradients": []} |
9ece332e8f59eea04b865e97d9e6d763 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [20227, 19971], "expectation_value": -14.033688630472406, "params": [[[0.0357, -0.4299], [0.7896000000000001, -0.0016], [-0.0017000000000000001, 0.6819000000000001], [-0.004, 0.665], [0.7861, -0.0039000000000000003], [0.7913, -0.004200000000000001], [0.4762, -0.1044], [0.3441, 0.23550000000000001], [-0.00120... | -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(12) @ Z(4)) + -0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(0) @ Z(12)) + -1.0 * (Z(13) @ Z(4))... | 1 | 16 | 4 | {"smallest_eigenvalues": [-14.499999999999797], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.49999999999974, "smallest_bitstrings": ["1011000111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.0357) q[0];
rz(-0.4299) q[0];
rx(0.7896) q[1];
rz(-0.0016) q[1];
rx(-0.0017) q[2];
rz(0.6819) q[2];
rx(-0.004) q[3];
rz(0.665) q[3];
rx(0.7861) q[4];
rz(-0.0039) q[4];
rx(0.7913) q[5];
rz(-0.0042) q[5];
rx(0.4762) q[6];
rz(-0.1044) q[6];
rx(0.3441) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [32, 33], "expectation_value": -6.094332841555476, "params": [0.0021000000000000003, -1.0874000000000001, 0.0023, 2.0467, -0.0024000000000000002, 1.1858, 1.3599, 0.0037, 0.0027, 1.973, 0.0028, 2.0379, 0.0028, 2.0336000000000003, 0.0035, 2.0487, 0.91, 0.46990000000000004, 0.0013000000000000002, -0.68, 0.0025,... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0021) q[0];
rz(-1.0874) q[0];
rx(0.0023) q[1];
rz(2.0467) q[1];
rx(-0.0024) q[2];
rz(1.1858) q[2];
rx(1.3599) q[3];
rz(0.0037) q[3];
rx(0.0027) q[4];
rz(1.973) q[4];
rx(0.0028) q[5];
rz(2.0379) q[5];
rx(0.0028) q[6];
rz(2.0336) q[6];
rx(0.0035) q[7];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [11, 27], "expectation_value": -0.20458625019031443, "params": [[0.07250000000000001, -0.0478], [-0.082, -0.0132]], "bitstrings": ["110100", "100100"], "total_optimization_steps": 10, "probabilities": [0.01757016429550801, 0.01838097740812927], "optimization_time": 2.295297861099243} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0725) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0725) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0725) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0725) q[4];
cx q[3], q[4];
cx q[0], q[5];
rz(0.0725... | 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[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... | null | {"circuits": [], "gradients": []} |
1adc91a7ea3c570322fc9dbda1e04f81 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2095, 2087], "expectation_value": -129.64447281292124, "params": [1.4973, -0.0018000000000000002, -0.0019, 0.8739, -0.0025, -0.8613000000000001, -0.0024000000000000002, 0.7753, -0.0026000000000000003, -1.0352000000000001, -0.002, 0.8394, 1.4945000000000002, 0.2686, -0.0026000000000000003, 1.0923, 0.76640000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(2) @ Z(9)) + 8.0 * (Z(3) @ Z(10)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(11) @ Z(6)) + 8.0 * (Z(11) @ Z(8)) + 8.0 * (Z(11) @ Z(10)) + 24.0 * Z(0) + -3.5 * Z(1) + 24.5 * Z(6) + -3.0 * Z... | 16 | 12 | 2 | {"smallest_eigenvalues": [-141.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -137.0, "smallest_bitstrings": ["011111011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4973) q[0];
rz(-0.0018) q[0];
rx(-0.0019) q[1];
rz(0.8739) q[1];
rx(-0.0025) q[2];
rz(-0.8613) q[2];
rx(-0.0024) q[3];
rz(0.7753) q[3];
rx(-0.0026) q[4];
rz(-1.0352) q[4];
rx(-0.002) q[5];
rz(0.8394) q[5];
rx(1.4945) q[6];
rz(0.2686) q[6];
rx(-0.0026) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [0, 487], "expectation_value": -8.939174761116956, "params": [0.3975, 0.3927, -0.7292000000000001, 0.0043, 0.8817, 0.6043000000000001, -0.7949, 0.007500000000000001, -0.9159, 1.1992, -0.1799, 0.0039000000000000003, -0.924, 1.4514, 0.013000000000000001, 0.0076, -0.0018000000000000002, 1.4463000000000001, -0.0... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 6 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3975) q[0];
rz(0.3927) q[0];
rx(0.8817) q[1];
rz(0.6043) q[1];
rx(-0.9159) q[2];
rz(1.1992) q[2];
rx(-0.924) q[3];
rz(1.4514) q[3];
rx(-0.0018) q[4];
rz(1.4463) q[4];
rx(-0.0018) q[5];
rz(1.4171) q[5];
rx(0.964) q[6];
rz(1.7265) q[6];
rx(-0.927) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
cd09c9fc0c45a235ddacffa85d40c411 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [1031, 7], "expectation_value": -37.18436323484576, "params": null, "bitstrings": ["01111111000", "11111111000"], "total_optimization_steps": 100, "probabilities": [0.10295580807561673, 0.19187130439150496], "optimization_time": 302.070396900177} | -4.0 * (Z(0) @ Z(1)) + -4.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -4.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["11111111000"]} | 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];
ry(-1.5577) q[6];
ry(-0.2479) q[1];
ry(-0.3192) q[0];
cry(-0.1329) q[5], q[1];
cry(-0.1882) q[3], q[0];
ry(-0.4457) q[2];
cry(0.1784) q[4], q[1];
ry(-0.3445) q[5];
cry(0... | null | {"node": 0} | {"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];\nry(-1.5577) 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] = m... |
-3593770171568213761 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [0, 2, 3, 4, 5, 7], [0, 1, 7], [0, 2, 3, 5, 6], [1, 2, 5], [1, 2, 7]]} | {"states": [185, 248], "expectation_value": -1.7014211839199833, "params": null, "bitstrings": ["01000110", "00000111"], "total_optimization_steps": 41, "probabilities": [0.02703311246625864, 0.9323531817332815], "optimization_time": 60.81172561645508} | 0.19999999999999998 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333334 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0.083333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6999999999999997, "smallest_bitstrings": ["00000111"]} | 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(1.4576) q[2];
ry(1.0806) q[3];
ry(0.8583) q[0];
cry(-0.6879) q[1], q[7];
cry(0.522) q[2], q[0];
ry(0.449) q[1];
cry(-0.6663) q[1], q[5];
cry(0.3433) q[2], q[3];
cry(-0.3678) q[0], q[7];
cry(0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4576) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
b859764cc810bb20378f19b6fa3fab8e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.4693029219761354, "params": [[0.47440000000000004], [-0.4061]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 50, "probabilities": [8.32821023353643e-05, 8.328210233536431e-05], "optimization_time": 18.079813718795776} | 0.25 * (Z(0) @ Z(1)) + -0.0010330578512396695 * (Z(2) @ Z(0)) + -0.0010330578512396695 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006198347107438016 * (Z(4) @ Z(0)) + 0.00025826446280991736 * (Z(4) @ Z(2)) + -0.0006198347107438016 * (Z(5) @ Z(1)) + 0.00025826446280991736 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0143595041321865], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.014359504132161, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.2372) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.001) 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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-1477246944376182267 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 5, 9, 12], [1, 4, 5, 9, 11], [3, 6], [0, 3, 4, 7], [12, 6], [2, 11, 6], [2, 11, 5], [8, 0, 4, 5], [10, 12], [8, 12], [0, 11, 3, 4], [9, 2, 6], [8, 6], [0, 9, 7], [0, 4, 5, 7, 11], [3, 4, 5, 7], [11, 4, 6], [1, 10, 4, 6], [0, 2, 3, 5, 7], [11, 1... | {"states": [1854, 1982], "expectation_value": -6.689529661268547, "params": [0.44270000000000004, -0.4923, 0.44320000000000004, 0.0071, 0.5067, 0.5002, 0.5445, 0.5109, 1.3804, -0.0006000000000000001, 1.3811, 0.0083, 1.3819000000000001, -0.022000000000000002, 1.1833, 0.0413, 1.3819000000000001, -0.0029000000000000002, 1... | 0.23333333333333334 * (Z(0) @ Z(2)) + 0.31666666666666665 * (Z(5) @ Z(2)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.3 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(9) @ Z(0)) + 0.1 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(12) @ Z(2)) + 0.1 * (Z(12) @ Z(0)) + 0.35 * (Z(12) @ Z(5)) + 0.05 * (Z(12) @ Z(9)) + 0.1333333333333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-8.133333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.800000000000001, "smallest_bitstrings": ["1100001000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.4427) q[0];
rz(-0.4923) q[0];
rx(0.5067) q[1];
rz(0.5002) q[1];
rx(1.3804) q[2];
rz(-0.0006) q[2];
rx(1.3819) q[3];
rz(-0.022) q[3];
rx(1.3819) q[4];
rz(-0.0029) q[4];
rx(0.8069) q[5];
rz(0.216) q[5];
rx(0.3487) q[6];
rz(0.5072) q[6];
rx(1.3875) 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": []} |
e8fdec38f32f10530d269f6547919d57 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 26], "expectation_value": -3.999900324820464, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 26, "probabilities": [1.718751956347206e-05, 0.9999500716492452], "optimization_time": 21.98961353302002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 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];
ry(-1.5708) q[5];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4417) q[4];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[4], q[3];
cry(-0.1259) q[2], q[0];
cry(0.1246) q[4], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
d5d46267e12bf6022b5986d45d7bae96 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4032], "expectation_value": -44.61657186782684, "params": [[[0.0024000000000000002, 0.0029000000000000002], [0.0026000000000000003, 0.006200000000000001], [0.0025, 0.0035], [0.0022, 0.0098], [0.0026000000000000003, 0.005], [1.6098000000000001, 0.0037], [0.0021000000000000003, 0.0082], [0.0022, 0.0051], [... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -3.0... | 2 | 12 | 1 | {"smallest_eigenvalues": [-47.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -42.5, "smallest_bitstrings": ["000000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0024) q[0];
rz(0.0029) q[0];
rx(0.0026) q[1];
rz(0.0062) q[1];
rx(0.0025) q[2];
rz(0.0035) q[2];
rx(0.0022) q[3];
rz(0.0098) q[3];
rx(0.0026) q[4];
rz(0.005) q[4];
rx(1.6098) q[5];
rz(0.0037) q[5];
rx(0.0021) q[6];
rz(0.0082) q[6];
rx(0.0022) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} |
a6ea63ce7afda0458cb5e7d5c63027a7 | 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": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -2.93349716560328, "params": [[-0.062200000000000005, -0.07060000000000001, -0.07970000000000001, -0.0765], [0.055900000000000005, 0.062200000000000005, 0.0707, 0.0708]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.0275284176807784... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0311) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0311) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(0.0622) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(0.0933) q[5];
cx q[2], q[5];
cx q[1], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
02575a12c565dc28617818fe7f0b4a99 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 155.19259357452393} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(38.6317) q[6];
ry(-6.1156) q[5];
ry(2.6234) q[2];
ry(0.6747) q[3];
ry(0.3884) q[1];
cry(0.208) q[6], q[5];
cry(-0.004) q[6], q[1];
cry(0.2368) q[6], q[2];
cry(-0.1517) q[3], q[2];
cry(-0.2602) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(38.6317) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
3818ce8f8ec333f1e3cdd221545ea640 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -7.788512923417929, "params": [[0.054], [-0.0711]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.007610503775815784, 0.008828808884923768], "optimization_time": 2.5203135013580322} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.432) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.432) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.432) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(0.432) q[4];
cx q[3], q[4];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | qaoa | {"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": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [1689, 2406], "expectation_value": -0.011208965822599379, "params": [[0.0608], [-0.0621]], "bitstrings": ["100101100110", "011010011001"], "total_optimization_steps": 10, "probabilities": [0.000255404308694395, 0.000255404308694395], "optimization_time": 5.668346643447876} | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0010204081... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.514795918367347, -1.514795918367347], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["011010011001", "100101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0304) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"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": [13, 15], "expectation_value": -0.30406621504185016, "params": [[-0.0558, -0.0453, -0.0553, -0.0661], [0.0745, 0.0618, 0.0614, 0.0625]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.04423559075583865, 0.04782559838010979], "optimization_time": 3.57641863822937} | -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) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | 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[3], q[0];
rz(0.0279) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0558) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0279) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0558) q[4];
cx q[0], q[4];
cx q[1], q[4];
rz(0.0279) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-4010982360647028719 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [0, 5, 6], [2, 3], [1, 4, 5], [0, 1, 3], [2, 5], [3, 5, 6], [0, 4, 5], [0, 1, 5]]} | {"states": [46, 42], "expectation_value": -0.1261490609465135, "params": [[0.07730000000000001], [-0.0844]], "bitstrings": ["1010001", "1010101"], "total_optimization_steps": 10, "probabilities": [0.008775120470889446, 0.008901579016626863], "optimization_time": 2.161740779876709} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0010101", "1010101", "1010001", "1010100", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(0.0773) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0515) q[0];
cx q[1], q[0];
cx q[2], q[5];
rz(0.0773) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.0515) q[5];
cx q[1], q[5];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x1)... | null | {"circuits": [], "gradients": []} |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [35, 3], "expectation_value": -25.51481872313554, "params": [[[-0.0167, 0.0032], [1.5414, 0.0006000000000000001], [-0.0063, 0.0057], [-0.014, 0.005200000000000001], [-0.017, 0.0058000000000000005], [1.9061000000000001, 0.0032], [1.9026, 0.0013000000000000002]]], "bitstrings": ["1011100", "1111100"], "total_o... | 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)) + 2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0167) q[0];
rz(0.0032) q[0];
rx(1.5414) q[1];
rz(0.0006) q[1];
rx(-0.0063) q[2];
rz(0.0057) q[2];
rx(-0.014) q[3];
rz(0.0052) q[3];
rx(-0.017) q[4];
rz(0.0058) q[4];
rx(1.9061) q[5];
rz(0.0032) q[5];
rx(1.9026) q[6];
rz(0.0013) q[6];
c[0] = measure 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[7] c;
qubit[7] ... | {"k": 5} | {"circuits": [], "gradients": []} |
6997174771550650826 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 3, 6, 7], [2, 5, 7, 8, 9, 10], [0, 2], [4, 7]]} | {"states": [973, 461], "expectation_value": -1.0995118728110789, "params": [0.28, 0.2728, 0.8183, 0.676, 1.3048, 1.3024, 1.2892000000000001, 1.2902, 1.1491, 0.6816, 0.2584, 0.22840000000000002, 0.6544, 0.6821, 1.2990000000000002, 1.2971000000000001, 1.3018, 1.3003, 1.2973000000000001, 1.2896, 1.2663, 1.2861, 0.28900000... | 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.03333333333333333 * (Z(3) @ Z(8)) + 0.03333333333333333 * (Z(6) @ Z(8)) + 0.03333333333333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -1.4499999999999995, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.28) q[0];
ry(0.8183) q[1];
ry(1.3048) q[2];
ry(1.2892) q[3];
ry(1.1491) q[4];
ry(0.2584) q[5];
ry(0.6544) q[6];
ry(1.299) q[7];
ry(1.3018) q[8];
ry(1.2973) q[9];
ry(1.2663) q[10];
crx(0.289) q[10], q[0];
crx(0.3573) q[9], q[10];
crx(0.6823) q[8], q[9];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c437b39b5c61c8e77af7bf4313e85ab5 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [0, 2019], "expectation_value": -12.629500429918638, "params": [0.35550000000000004, -0.1348, -0.8487, 0.0015, 0.6303000000000001, -0.0658, -0.7404000000000001, 0.0058000000000000005, -0.8824000000000001, 1.2369, 0.1809, 0.008700000000000001, -1.0018, 1.1629, 0.11950000000000001, 0.0088, -1.0676, 0.873300000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + -1.5 * Z(7) + -1.5 * Z(6) + 1.5 * Z(8)... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00000011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3555) q[0];
rz(-0.1348) q[0];
rx(0.6303) q[1];
rz(-0.0658) q[1];
rx(-0.8824) q[2];
rz(1.2369) q[2];
rx(-1.0018) q[3];
rz(1.1629) q[3];
rx(-1.0676) q[4];
rz(0.8733) q[4];
rx(-1.0732) q[5];
rz(0.801) q[5];
rx(-0.0015) q[6];
rz(1.2467) q[6];
rx(0.005) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
-7798177999128563354 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 6, 7, 8, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 5, 6, 7, 9, 10, 11], [1, 2, 4, 5, 6, 7, 8, 9, 11], [1, 3, 4, 5, 9, 10, 11]]} | {"states": [3564, 4076], "expectation_value": -0.8099363989704476, "params": [3.1436, 0.00030000000000000003, 3.1436, 0.0051, 1.5974000000000002, 0.001, 2.7071, 0.007500000000000001, 3.1385, 0.0041, 3.1388000000000003, 0.0048000000000000004, 3.1393, 0.0019, 0.5469, 0.0088, 3.1395, 0.0073, 3.1444, 0.0, 0.4575, 0.0066, 0... | 0.05075757575757575 * (Z(5) @ Z(6)) + 0.04083694083694084 * (Z(8) @ Z(6)) + 0.026948051948051947 * (Z(8) @ Z(5)) + 0.04083694083694084 * (Z(9) @ Z(6)) + 0.026948051948051947 * (Z(9) @ Z(5)) + 0.054725829725829726 * (Z(9) @ Z(8)) + 0.04083694083694084 * (Z(10) @ Z(6)) + 0.026948051948051947 * (Z(10) @ Z(5)) + 0.04083694... | 16 | 12 | 1 | {"smallest_eigenvalues": [-0.8660173160173164, -0.8660173160173164, -0.8660173160173164, -0.8660173160173164, -0.8660173160173164, -0.8660173160173164], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.8660173160173161, "smallest_bitstrings": ["000010100001", "001000010010", "000011000001", "100111000000... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1436) q[0];
rz(0.0003) q[0];
rx(3.1436) q[1];
rz(0.0051) q[1];
rx(1.5974) q[2];
rz(0.001) q[2];
rx(2.7071) q[3];
rz(0.0075) q[3];
rx(3.1385) q[4];
rz(0.0041) q[4];
rx(3.1388) q[5];
rz(0.0048) q[5];
rx(3.1393) q[6];
rz(0.0019) q[6];
rx(0.5469) 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": []} |
-7637694632116865901 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [0, 7], [5, 6], [3, 7], [3, 6], [2, 7], [0, 3], [2, 3], [8, 3], [0, 8], [2, 5], [8, 1], [8, 2], [1, 5], [1, 7], [8, 5]]} | {"states": [43, 468], "expectation_value": -0.054818545995156356, "params": [[0.0478], [-0.0362]], "bitstrings": ["111010100", "000101011"], "total_optimization_steps": 10, "probabilities": [0.002090465769308804, 0.002090465769308804], "optimization_time": 0.7291479110717773} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111010100", "000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[4];
rz(0.0478) q[4];
cx q[7], q[4];
cx q[7], q[0];
rz(0.0478) q[0];
cx q[7], q[0];
cx q[6], q[5];
rz(0.0478) q[5];
cx q[6], q[5];
cx q[7], q[3];
rz(0.0478) q[3];
cx q[7], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];... | null | {"circuits": [], "gradients": []} |
3627ca338bedf0b19f724facd2ae387b | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [242, 186], "expectation_value": -12.804455741445105, "params": [[-0.025900000000000003], [0.0784]], "bitstrings": ["100001101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.003790467209049371, 0.004069654803388589], "optimization_time": 1.908231496810913} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + -3.5 * Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[1];
rz(-0.259) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.259) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.259) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.259) q[5];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 29.764601469039917} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
cry(-1.5681) q[7], q[3];
ry(-1.5706) q[2];
cry(-1.5708) q[7], q[5];
cry(1.4449) q[7], q[4];
ry(0.1188) q[4];
cry(-0.0027) q[4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
86d59c6096ff3db0c9f906cf39a44678 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [112, 116], "expectation_value": -2.6779484481569864, "params": [[[0.33430000000000004, 0.00030000000000000003, 0.0, 0.0079], [0.0834, -0.2509, 0.8451000000000001, 0.0172], [0.7407, 0.0007, -0.6532, -0.1981], [0.43910000000000005, -0.00030000000000000003, 0.8982, 0.024], [-0.451, -0.012100000000000001, -0.83... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["10011100", "10001110", "10001101", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3343) q[0];
rz(0.0003) q[0];
ry(0.0834) q[1];
rz(-0.2509) q[1];
ry(0.7407) q[2];
rz(0.0007) q[2];
ry(0.4391) q[3];
rz(-0.0003) q[3];
ry(-0.451) q[4];
rz(-0.0121) q[4];
ry(0.9066) q[5];
rz(-0.448) q[5];
ry(0.0886) q[6];
rz(0.4629) q[6];
ry(0.0015) 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": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.165815699098031, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 28.60230588912964} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5709) q[5];
ry(-1.4894) q[0];
ry(-0.7453) q[4];
ry(-0.9522) q[3];
cry(0.8407) q[5], q[4];
cry(-1.6662) q[2], q[4];
cry(-0.5015) q[5], q[3];
cry(1.5708) q[5], q[1];
cry(-0.9036) q[1], q[4];
ry(-1.5396) q[2];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.3127229501781732, "params": [[-0.0579, -0.0514, -0.0567], [0.0726, 0.058800000000000005, 0.065]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.022121791454124316, 0.02244861791459339], "optimization_time": 2.773797035217285} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "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(-0.0579) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0579) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(-0.0579) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(-0.0579) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
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": -3.1503841382870243, "params": [[0.07150000000000001, 0.0712], [-0.07690000000000001, -0.0695]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.05464349930895325, 0.05652887053837504], "optimization_time": 2.309382438659668} | 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) | 18 | 5 | 2 | {"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(0.2503) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2503) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2503) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.286) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.286) q[3];
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] 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] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 11], "expectation_value": -0.696224734184606, "params": [[-0.0717, -0.062200000000000005, -0.0635, -0.0454], [0.0771, 0.06670000000000001, 0.0665, 0.058800000000000005]], "bitstrings": ["101001", "110100"], "total_optimization_steps": 10, "probabilities": [0.029652384406982958, 0.02965238440698296], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0717) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.0717) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(-0.0717) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0717) q[2];
cx q[1], q[2];
cx q[5], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 33.68084001541138} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
cry(1.5486) q[1], q[4];
cry(1.2165) q[4], q[1];
cry(-1.5158) q[6], q[0];
ry(1.0305) q[6];
ry(-0.4218) q[0];
cry(1.3539) q[6], q[5];
cry(0.2656) q[5], q[6];
cry(-0.2013) q[5], q[0];
cry(0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9191824481129773496 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [1, 2], [0, 4], [1, 3], [1, 4]]} | {"states": [13, 7], "expectation_value": -1.7833539004743235, "params": null, "bitstrings": ["10010", "11000"], "total_optimization_steps": 30, "probabilities": [0.029660531059279086, 0.8653218570070772], "optimization_time": 23.991721630096436} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[4], q[1];
ry(0.971) q[4];
cry(-1.3758) q[4], q[0];
cry(-0.8029) q[3], q[1];
ry(1.1394) q[3];
ry(-0.3977) q[1];
cry(0.3833) q[3], q[4];
cry(1.1255) q[4], q[2];
cry(-0.1285) q[2], q[1];
cry(0.3399) q[4], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -12.815613227508058, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 61, "probabilities": [0.1500372955345014, 0.5932610212698615], "optimization_time": 80.95791912078857} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4894) q[0];
cry(-1.5708) q[5], q[2];
cry(-1.5704) q[6], q[3];
ry(1.5708) q[4];
cry(-1.5707) q[6], q[1];
ry(0.5205) q[6];
ry(0.6596) q[5];
ry(-0.5022) q[3];
cry(-0.3088) q[4], q[2];
cry(0.4749) q[4],... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) 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", ... |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 1], "expectation_value": -4.900079483944955, "params": [0.0025, 0.2538, 0.004200000000000001, 0.2959, 0.0027, 0.3104, 0.0015, 0.3059, 0.30970000000000003, 0.1075, 0.3151, 0.0039000000000000003, 0.4057, 0.0036000000000000003, 0.0074, 0.2378, 0.0017000000000000001, 0.31520000000000004, 0.0047, 0.3109, 0.00... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0025) q[0];
rz(0.2538) q[0];
rx(0.0042) q[1];
rz(0.2959) q[1];
rx(0.0027) q[2];
rz(0.3104) q[2];
rx(0.0015) q[3];
rz(0.3059) q[3];
rx(0.3097) q[4];
rz(0.1075) q[4];
rx(0.3151) q[5];
rz(0.0039) q[5];
rx(0.4057) q[6];
rz(0.0036) q[6];
crz(-0.0017) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
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