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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
75d554aeee06fbf8bfe9226005af8f80 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [19, 3], "expectation_value": -0.6741408075399767, "params": [[0.0466], [-0.0349]], "bitstrings": ["111101100", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0023889183333927525, 0.0024219742007850218], "optimization_time": 2.4734413623809814} | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"]} | 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(-0.0466) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.1631) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0466) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.1165) q[6];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f8d4ddeda47a8e3bc151d4c5e3b58baa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [76, 78], "expectation_value": -5.029131023144687, "params": [0.0026000000000000003, 0.007, -0.0175, 0.0057, 1.6065, 0.0073, 1.3582, 0.0077, 0.003, 0.00030000000000000003, 1.6025, 0.005200000000000001, 1.6065, 0.0023, 1.5983, 0.0095, 0.3521, 0.0035, 0.0, 0.008400000000000001, 0.0015, 0.002, 0.002600000000000... | 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(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110110001", "110111000", "110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0026) q[0];
rz(0.007) q[0];
rx(-0.0175) q[1];
rz(0.0057) q[1];
rx(1.6065) q[2];
rz(0.0073) q[2];
rx(1.3582) q[3];
rz(0.0077) q[3];
rx(0.003) q[4];
rz(0.0003) q[4];
rx(1.6025) q[5];
rz(0.0052) q[5];
rx(1.6065) q[6];
rz(0.0023) q[6];
rx(1.5983) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -14.64506024572525, "params": [[-0.038, -0.0045000000000000005], [0.0765, 0.0746]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.015370248458601611, 0.01604184404056478], "optimization_time": 4.3919997215271} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 16 | 7 | 2 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.209) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.209) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.209) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.209) 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] 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... | {"k": 5} | {"circuits": [], "gradients": []} |
d2af5b370a3d71c549af79aed48d2958 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 16, "source": 0, "target": 3}, {"weight": 12, "sour... | {"states": [252, 236], "expectation_value": -67.33790675100026, "params": [0.1864, -0.0849, 0.1948, -0.09290000000000001, 0.3879, 0.0257, 0.3921, 0.0132, 0.39640000000000003, 0.039400000000000004, 0.3904, 0.0223, 0.3952, 0.0403, 0.39590000000000003, 0.0328, 0.19160000000000002, 0.1033, 0.1885, 0.0765, 0.393900000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 18.0 * Z(1) + 10.0 * Z(0) + 20.0 *... | 5 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1864) q[0];
rz(-0.0849) q[0];
rx(0.3879) q[1];
rz(0.0257) q[1];
rx(0.3964) q[2];
rz(0.0394) q[2];
rx(0.3952) q[3];
rz(0.0403) q[3];
rx(0.1916) q[4];
rz(0.1033) q[4];
rx(0.3939) q[5];
rz(0.0311) q[5];
rx(0.3947) q[6];
rz(0.019) q[6];
rx(0.1824) 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... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
c5aa289d2d34be7b0922b4fb4be4f7b1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capac... | {"states": [0, 3], "expectation_value": -11.189874573490627, "params": [0.0028, -0.0004, -0.0028, 0.45580000000000004, -0.0025, 0.4721, 0.0102, -0.0886, -0.0029000000000000002, 0.671, -0.0025, 0.6752, -0.0023, 0.6699, -0.0034000000000000002, 0.6423, 0.5132, -0.0017000000000000001, 0.9057000000000001, 0.0015, -0.0052000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(2... | 4 | 10 | 2 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111111100", "1110111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0028) q[0];
rz(-0.0004) q[0];
rx(-0.0028) q[1];
rz(0.4558) q[1];
rx(-0.0025) q[2];
rz(0.4721) q[2];
rx(0.0102) q[3];
rz(-0.0886) q[3];
rx(-0.0029) q[4];
rz(0.671) q[4];
rx(-0.0025) q[5];
rz(0.6752) q[5];
rx(-0.0023) q[6];
rz(0.6699) q[6];
rx(-0.0034) 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": []} |
79dbb46672568dd6da53fdf988683370 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [180, 148], "expectation_value": -33.14539226807988, "params": [[[1.2941, -0.0013000000000000002], [-0.0022, 0.9372], [0.6901, 0.2943], [1.3027, 0.001], [0.2013, 0.5351], [1.3025, 0.0028], [0.15330000000000002, -0.5748], [0.6205, -0.33690000000000003]], [[1.2947, 0.0058000000000000005], [-0.0022, 0.0027], [0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + -10.0 * Z(1) + 3.5 * Z(0) + -5.5 * Z(4) + 3.0 * Z(2) + 2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.5, "smallest_bitstrings": ["01101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2941) q[0];
rz(-0.0013) q[0];
rx(-0.0022) q[1];
rz(0.9372) q[1];
rx(0.6901) q[2];
rz(0.2943) q[2];
rx(1.3027) q[3];
rz(0.001) q[3];
rx(0.2013) q[4];
rz(0.5351) q[4];
rx(1.3025) q[5];
rz(0.0028) q[5];
rx(0.1533) q[6];
rz(-0.5748) q[6];
rx(0.6205) 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], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [1, 9], "expectation_value": -4.093413388887351, "params": [[[-0.0033, 0.0064], [0.0027, 0.0061], [0.0025, 0.003], [1.6014000000000002, 0.0029000000000000002], [0.0023, 0.0043], [1.1608, 0.003], [1.6096000000000001, 0.0059]]], "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 160, "probabilit... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0033) q[0];
rz(0.0064) q[0];
rx(0.0027) q[1];
rz(0.0061) q[1];
rx(0.0025) q[2];
rz(0.003) q[2];
rx(1.6014) q[3];
rz(0.0029) q[3];
rx(0.0023) q[4];
rz(0.0043) q[4];
rx(1.1608) q[5];
rz(0.003) q[5];
rx(1.6096) q[6];
rz(0.0059) q[6];
c[0] = measure q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
c31960310eb284d493a369e45529e3bd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -30.547592241472763, "params": [[-0.0309, -0.011000000000000001, 0.0057, -0.0172], [0.061500000000000006, 0.0541, 0.044000000000000004, 0.0567]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.010732521769969498, 0.01302283047131... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2781) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2781) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2781) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2781) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e477f019bfd20e5c3ebfb6f9f834bdc7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 31], "expectation_value": -17.17313494662526, "params": [-0.008700000000000001, 0.6406000000000001, 0.0018000000000000002, 0.552, -0.0014, 0.5075000000000001, 0.0025, 0.5014000000000001, 0.0002, 0.4314, 0.0007, 0.3885, -0.004, 0.9750000000000001, -0.0026000000000000003, 1.0426, 0.5389, 0.758, 0.2869, 0.3... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 6 | 9 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0087) q[0];
rz(0.6406) q[0];
rx(-0.0014) q[1];
rz(0.5075) q[1];
rx(0.0002) q[2];
rz(0.4314) q[2];
rx(-0.004) q[3];
rz(0.975) q[3];
rx(0.5389) q[4];
rz(0.758) q[4];
rx(0.5102) q[5];
rz(0.7816) q[5];
rx(-0.2333) q[6];
rz(0.0272) q[6];
rx(0.4674) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 0} | {"circuits": [], "gradients": []} |
c74167a186ef9c06e73f7bbbf8de6ec0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [280, 434], "expectation_value": -1.7668895654830434, "params": [[[-0.0027, -0.0027], [1.6638000000000002, 1.4028], [-0.054400000000000004, -1.393], [1.5677, 1.5679], [1.5735000000000001, -0.7157], [-1.5732000000000002, 1.5674000000000001], [1.5656, 0.7717], [0.0026000000000000003, 1.5716], [2.5976, 0.002600... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.75, "smallest_bitstrings": ["001101001", "100001011", "001001101", "010001011", "001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0027) q[0];
ry(1.6638) q[1];
ry(-0.0544) q[2];
ry(1.5677) q[3];
ry(1.5735) q[4];
ry(-1.5732) q[5];
ry(1.5656) q[6];
ry(0.0026) q[7];
ry(2.5976) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
2228358328979398235 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 5, 6], [0, 7], [1, 4], [0, 5, 6], [0, 2, 5], [0, 2, 3, 6], [2, 6, 7], [1, 3, 5, 6], [0, 1, 3], [2, 3, 4, 5], [1, 2, 5], [1, 5, 6, 7]]} | {"states": [31, 226], "expectation_value": -0.17098562393710995, "params": [[0.0743], [-0.0789]], "bitstrings": ["11100000", "00011101"], "total_optimization_steps": 10, "probabilities": [0.0043625371093678564, 0.004425678502444284], "optimization_time": 3.012315034866333} | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667, -3.166666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00011101", "00001101"]} | 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[2];
rz(0.0372) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.0372) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(0.0743) q[5];
cx q[2], q[5];
cx q[3], q[6];
rz(0.0372) q[6];
cx q[3], q[6];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [607, 671], "expectation_value": -2.9913074541787337, "params": null, "bitstrings": ["0110100000", "0101100000"], "total_optimization_steps": 83, "probabilities": [0.039195353000280514, 0.6667044491494435], "optimization_time": 327.5181565284729} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 10 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001001000", "0101100000", "0110010000"]} | 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(-1.1871) q[2], q[3];
ry(1.2944) q[7];
cry(-1.1871) q[0], q[1];
ry(1.1825) q[8];
ry(1.0039) q[9];
cry(-0.5505) q[5], q[3];
cry(-0.5423) q[6], q[1];
cry(0.4917) q[7], q[9];
ry(... | null | null | {"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(-1.1871) q[2], 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] = meas... |
ab1d7611b1fa7d661f876db89db2765c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [399, 143], "expectation_value": -89.51967625579172, "params": [0.0014, -0.39890000000000003, 0.33680000000000004, 0.16010000000000002, 0.7005, 0.0066, 0.0027, 0.44520000000000004, -0.0035, -0.3774, -0.002, 0.5191, 0.6880000000000001, 0.0048000000000000004, 0.6922, 0.005, 0.7060000000000001, -0.0033, 0.69000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 24.5 * Z(2) + 10.0 * Z(1) + -5.5 * Z(3) + 23.0 * Z(6) + 6.5 * Z(7) + -4.0 * Z(4) + 0.5 * Z(8) + -5.0... | 18 | 10 | 4 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0014) q[0];
rz(-0.3989) q[0];
rx(0.3368) q[1];
rz(0.1601) q[1];
rx(0.7005) q[2];
rz(0.0066) q[2];
rx(0.0027) q[3];
rz(0.4452) q[3];
rx(-0.0035) q[4];
rz(-0.3774) q[4];
rx(-0.002) q[5];
rz(0.5191) q[5];
rx(0.688) q[6];
rz(0.0048) q[6];
rx(0.6922) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
902a0384b6808893b61075473eb2cba3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 9}, {"weight": 18, "source": 1, "target": 5}, {"weight":... | {"states": [948, 436], "expectation_value": -78.60352224331947, "params": [1.0973, -0.056900000000000006, 1.1017000000000001, 0.0046, 1.0941, 0.1042, 1.0872, 0.0086, 1.0962, 0.1014, 1.089, 0.0037, 1.1004, -0.23820000000000002, 0.2933, 0.0067, 1.0994000000000002, 0.1451, 1.0809, 0.0078000000000000005, 1.0969, 0.1263, 1.... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0973) q[0];
rz(-0.0569) q[0];
rx(1.0941) q[1];
rz(0.1042) q[1];
rx(1.0962) q[2];
rz(0.1014) q[2];
rx(1.1004) q[3];
rz(-0.2382) q[3];
rx(1.0994) q[4];
rz(0.1451) q[4];
rx(1.0969) q[5];
rz(0.1263) q[5];
rx(1.0755) q[6];
rz(-0.2867) q[6];
rx(1.1024) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
d67dce3f5139cf39967f12d8ad7a1f95 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [427, 234], "expectation_value": -15.715651247738425, "params": [[-0.043000000000000003, -0.019700000000000002], [0.0666, 0.0653]], "bitstrings": ["001010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006753917056687292, 0.00827754919433401], "optimization_time": 5.748882055282593} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.387) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.387) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.387) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.387) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
1247113906661385729 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 0], [5, 7], [0, 6], [4, 7], [9, 6], [0, 7], [6, 7], [1, 2], [8, 3], [4, 6], [3, 5], [0, 5], [1, 6], [3, 4], [3, 6], [5, 6], [0, 1], [0, 9], [9, 5], [1, 4], [2, 5], [9, 1], [2, 7], [8, 1]]} | {"states": [348, 340], "expectation_value": -2.8382908980771586, "params": [0.9890000000000001, 0.0509, 0.7475, 0.002, 1.0017, -0.0356, 0.9986, 0.0053, 0.6114, 0.0246, 0.3894, 0.0031000000000000003, 1.0038, -0.0555, 1.0041, 0.0044, 0.9794, 0.0053, 0.5098, 0.0049, 1.0027000000000001, -0.051000000000000004, 0.9938, 0.006... | 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111011", "0100011110", "1101010100", "0010111010", "1010101010", "1010101011", "1011100001", "0010101011", "0101... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.989) q[0];
rz(0.0509) q[0];
rx(1.0017) q[1];
rz(-0.0356) q[1];
rx(0.6114) q[2];
rz(0.0246) q[2];
rx(1.0038) q[3];
rz(-0.0555) q[3];
rx(0.9794) q[4];
rz(0.0053) q[4];
rx(1.0027) q[5];
rz(-0.051) q[5];
rx(0.9722) q[6];
rz(0.1187) q[6];
rx(0.9951) 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": []} |
da6f888553e0928bf84cb7c24eceee80 | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -6.760946925530975, "params": [[[0.0041, -0.0012000000000000001], [-0.0025, -0.005200000000000001], [-0.0004, -0.0011], [0.0023, -0.0028], [0.0022, -0.0024000000000000002], [-0.0023, -0.0027], [1.3655000000000002, 0.029], [0.39730000000000004, 0.0223]], [[0.006800000000000000... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 15 | 8 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0041) q[0];
ry(-0.0025) q[1];
ry(-0.0004) q[2];
ry(0.0023) q[3];
ry(0.0022) q[4];
ry(-0.0023) q[5];
ry(1.3655) q[6];
ry(0.3973) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
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": 7} | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 84.9908857345581} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4894) q[1];
cry(-1.5708) q[3], q[6];
cry(-1.5701) q[5], q[2];
ry(1.5708) q[4];
cry(-1.5706) q[5], q[0];
ry(0.5204) q[5];
ry(-0.3719) q[2];
ry(0.423) q[6];
cry(-0.4899) q[6], q[3];
cry(0.3496) 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.7722429095364305, "params": [[[-0.0035, 0.46340000000000003], [0.6088, -0.0027], [0.0056, 0.1062], [0.0029000000000000002, 0.5159], [0.0011, 0.26890000000000003], [0.8046000000000001, -0.0034000000000000002]], [[-0.0036000000000000003, 0.0083], [0.6097, 0.008700000000000001], ... | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0035) q[0];
rz(0.4634) q[0];
rx(0.6088) q[1];
rz(-0.0027) q[1];
rx(0.0056) q[2];
rz(0.1062) q[2];
rx(0.0029) q[3];
rz(0.5159) q[3];
rx(0.0011) q[4];
rz(0.2689) q[4];
rx(0.8046) q[5];
rz(-0.0034) q[5];
rx(-0.0036) q[0];
rz(0.0083) q[0];
rx(0.6097) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.043422509887091315, "params": [[-0.0098, 0.0307], [0.0167, -0.0286]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00405021106782377, 0.0040563491035508804], "optimization_time": 3.5463690757751465} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"]} | 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(0.0049) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0049) q[4];
cx q[0], q[4];
cx q[3], q[7];
rz(0.0147) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0147) q[7];
cx q[0], q[7];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -20.317483442839976, "params": [[-0.0351, -0.0004, -0.0256], [0.0574, 0.038400000000000004, 0.060500000000000005]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.023931960922608173, 0.02511086574336168], "optimization_time": 6.689792... | 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(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2106) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2106) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2106) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2106) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 14.445172309875488} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.4449) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1248) q[3], q[1];
cry(0.1216) q[1], q[2];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9f95a6b8d69043a5d277b3f4562e53a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -1.3850428639299328, "params": [[0.0511], [-0.07300000000000001]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0016410670449157772, 0.0016620869570352843], "optimization_time": 12.934648752212524} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -3.0 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111111110"]} | 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(-0.0255) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0766) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0766) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1533) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-8672227185390543395 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5, 6], [0, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 7], [0, 1, 2, 3, 4, 5, 7], [1, 3, 5, 6, 7]]} | {"states": [231, 175], "expectation_value": -0.578186372933603, "params": [[0.43060000000000004], [-0.4298]], "bitstrings": ["00011000", "01010000"], "total_optimization_steps": 50, "probabilities": [0.007903988949672248, 0.007903988949672256], "optimization_time": 14.46533751487732} | 0.13095238095238093 * (Z(1) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(6) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.09761904761904762 * (Z(0) @ Z(4)) + 0.047619047619047616 * (Z(0) @ Z(1)) + 0.0738095238095... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.030952380952381], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0309523809523808, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(0.1128) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(0.1353) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.1353) q[5];
cx q[1], q[5];
cx q[4], q[6];
rz(0.1353) q[6];
cx q[4], q[6];
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... | null | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 180.1486279964447} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[1];
ry(26.9543) q[4];
cry(5.0747) q[4], q[1];
ry(10.6339) q[3];
ry(63.516) q[6];
cry(62.7114) q[4], q[6];
cry(62.7787) q[1], q[6];
ry(2.3034) q[2];
cry(16.178) q[2], q[6];
ry(1.1707) ... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(8.8595) 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[... |
6ba19468e6c5e5082f99c29552d3272c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1482, 1226], "expectation_value": -113.8721586420203, "params": [0.9067000000000001, 0.001, -0.001, -0.32530000000000003, 0.4732, 0.23950000000000002, 0.8337, -0.0417, 0.8988, 0.0281, 0.42010000000000003, 0.3304, -0.0091, 0.015300000000000001, 0.9031, 0.0014, 0.2281, 0.4283, 0.8969, -0.0006000000000000001, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 7.5 * Z(0) + -6.5 * Z(1) + 20.0 *... | 4 | 11 | 3 | {"smallest_eigenvalues": [-140.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["01100110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.9067) q[0];
rz(0.001) q[0];
rx(-0.001) q[1];
rz(-0.3253) q[1];
rx(0.4732) q[2];
rz(0.2395) q[2];
rx(0.8337) q[3];
rz(-0.0417) q[3];
rx(0.8988) q[4];
rz(0.0281) q[4];
rx(0.4201) q[5];
rz(0.3304) q[5];
rx(-0.0091) q[6];
rz(0.0153) q[6];
rx(0.9031) 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, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
a33d8bdcf7e6f27943edb67db9816bff | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 3, "target": 4},... | {"states": [1408, 1535], "expectation_value": -4.8101151427088285, "params": [[-0.0784], [0.0787]], "bitstrings": ["01001111111", "01000000000"], "total_optimization_steps": 10, "probabilities": [0.0014239298511854665, 0.0014835881589912937], "optimization_time": 2.2902700901031494} | 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(8)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(9)) + -3.5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-39.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.5, "smallest_bitstrings": ["01000000000"]} | 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[2], q[1];
rz(-0.0784) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(0.3136) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.3136) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0784) ... | 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[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]... | {"node": 0} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 42], "expectation_value": -0.5248744683772376, "params": [0.4012, 0.030000000000000002, 0.3144, 0.067, 0.39690000000000003, 0.0176, 0.3141, 0.1073, 0.40440000000000004, 0.16920000000000002, 0.1829, 0.1655, 0.39790000000000003, 0.038700000000000005, 0.3098, 0.068, 0.3976, 0.0371, 0.3186, 0.10980000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 18 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4012) q[0];
rz(0.03) q[0];
rx(0.3144) q[1];
rz(0.067) q[1];
rx(0.3969) q[2];
rz(0.0176) q[2];
rx(0.3141) q[3];
rz(0.1073) q[3];
rx(0.4044) q[4];
rz(0.1692) q[4];
rx(0.1829) q[5];
rz(0.1655) q[5];
crz(-0.1523) q[5], q[0];
crz(0.2102) q[4], q[5];
crz(0.1137... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
e3b2e5c778746acb9d093fbca6fb34ea | 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": [245, 229], "expectation_value": -85.92888637547956, "params": [[[0.7987000000000001, 0.0216], [0.7012, 0.027800000000000002], [0.634, 0.0408], [0.7010000000000001, 0.0675], [0.36300000000000004, 0.0608], [0.0086, 0.36100000000000004], [0.7035, 0.3784], [0.1, 0.5701], [-0.037200000000000004, 0.97720000000000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(3)) + 9.0 * Z(1) + 9.0 * Z(0) + 22.5 * Z(3) + 8.5 * Z(4) + 16.0 * Z(2) + 5.0 * Z(5) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7987) q[0];
ry(0.7012) q[1];
ry(0.634) q[2];
ry(0.701) q[3];
ry(0.363) q[4];
ry(0.0086) q[5];
ry(0.7035) q[6];
ry(0.1) q[7];
ry(-0.0372) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
24ad81747c6bd1903cd58d045c41656e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [411, 218], "expectation_value": -10.612021518556173, "params": [[0.049800000000000004], [-0.0813]], "bitstrings": ["001100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004711072691150334, 0.005055070034785386], "optimization_time": 2.0005805492401123} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.4482) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4482) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.4482) q[1];
cx q[0], q[1];
cx q[2], q[4];
rz(0.4482) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
8859020971153487979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 6], [0, 6], [3, 4], [4, 5], [4, 6], [2, 5], [3, 5], [1, 2], [2, 6], [1, 5], [1, 4], [1, 6], [0, 1]]} | {"states": [35, 92], "expectation_value": -0.11527685571864021, "params": [[-0.061900000000000004], [0.0737]], "bitstrings": ["1011100", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008832354216459101, 0.008832354216459101], "optimization_time": 0.864729642868042} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0100011"]} | 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[6], q[3];
rz(-0.0619) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(-0.0619) q[0];
cx q[6], q[0];
cx q[6], q[4];
rz(-0.0619) q[4];
cx q[6], q[4];
cx q[3], q[4];
rz(-0.0619) q[4];
cx q[3], q[4];
cx q[3], q[5... | 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[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[3], q[4];
... | null | {"circuits": [], "gradients": []} |
a6e15f3d5d0d57da2b41d67529c98500 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [508, 511], "expectation_value": -3.5757135120424053, "params": [[-0.0616], [0.0748]], "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 10, "probabilities": [0.004202051072302151, 0.004202051072302153], "optimization_time": 2.5918726921081543} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.3696) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.1232) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.4312) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0616) q[5];
cx q[2], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2],... | {"node": 8} | {"circuits": [], "gradients": []} |
-87311923258007001 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 6], [2, 5], [0, 1, 4], [1, 2, 7], [0, 1, 3, 5], [8, 5, 7], [2, 3, 6], [4, 5], [1, 3, 6], [8, 4], [0, 1, 5, 6, 7]]} | {"states": [171, 427], "expectation_value": -2.4984235614851538, "params": [1.2998, 0.22970000000000002, 1.0812000000000002, 0.0035, 1.2888000000000002, 0.1033, 1.2412, 0.008400000000000001, 1.1979, -0.0017000000000000001, 0.36860000000000004, 0.0015, 1.2970000000000002, 0.1159, 1.2637, 0.009300000000000001, 1.1886, 0.... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.3 * (Z(0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.033333333333332, "smallest_bitstrings": ["001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2998) q[0];
rz(0.2297) q[0];
rx(1.2888) q[1];
rz(0.1033) q[1];
rx(1.1979) q[2];
rz(-0.0017) q[2];
rx(1.297) q[3];
rz(0.1159) q[3];
rx(1.1886) q[4];
rz(0.0466) q[4];
rx(1.2941) q[5];
rz(0.114) q[5];
rx(1.3007) q[6];
rz(0.1391) q[6];
rx(1.2947) q[7];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ecdfa6719727c874685bdf2e4be77fdf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [221, 218], "expectation_value": -29.30962322864669, "params": [[-0.0371, -0.0098, 0.020200000000000003, -0.0086], [0.0761, 0.0665, 0.054900000000000004, 0.06380000000000001]], "bitstrings": ["100100010", "100100101"], "total_optimization_steps": 10, "probabilities": [0.011725854841822697, 0.0147391586825966... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3339) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3339) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.3339) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.3339) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 10], "expectation_value": -0.17059272120166052, "params": [[0.0721, 0.0692], [-0.059000000000000004, -0.060500000000000005]], "bitstrings": ["11001", "10101"], "total_optimization_steps": 10, "probabilities": [0.03691799864575808, 0.03700810014486039], "optimization_time": 2.3353261947631836} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"]} | 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[1];
rz(0.0721) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(0.0721) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(0.0721) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(0.036) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(0.036) 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] 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 ... | null | {"circuits": [], "gradients": []} |
32087ba2b3a645f34fcdf9295fac10e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target":... | {"states": [516, 772], "expectation_value": -22.025407911635302, "params": [-0.2081, 0.20670000000000002, 1.3201, 1.2693, 0.5298, 0.5063, -0.00030000000000000003, 0.0044, -0.0048000000000000004, 0.013600000000000001, 0.0092, -0.0023, 0.0018000000000000002, 0.010700000000000001, 0.0046, 0.0108, 1.5501, 1.3547, 0.0084000... | -0.75 * (Z(0) @ Z(4)) + -1.25 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + 2.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(3)) + -1.25 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 13 | 11 | 2 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["10011111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.2081) q[0];
ry(1.3201) q[1];
ry(0.5298) q[2];
ry(-0.0003) q[3];
ry(-0.0048) q[4];
ry(0.0092) q[5];
ry(0.0018) q[6];
ry(0.0046) q[7];
ry(1.5501) q[8];
ry(0.0084) q[9];
ry(0.0165) q[10];
crz(2.0338) q[10], q[0];
crz(2.5196) q[9], q[10];
crz(1.3115) q[8],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
45f5dc2f36ec8578f56a8a2b99d776b3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [783, 527], "expectation_value": -57.80736736441128, "params": [0.8029000000000001, -0.0027, 0.5144000000000001, 0.20770000000000002, -0.0012000000000000001, 0.4848, -0.0002, 0.44160000000000005, -0.0035, 0.40900000000000003, 0.5388000000000001, 0.2812, 0.8024, 0.2936, 0.7948000000000001, 0.3538, 0.8044, 0.0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(4) @ Z(8)) + 10.0 * Z(0) + 4.5 * Z(1) + -6.0 * Z(2) + 9.0 * Z(6) + 4.5 * Z(5) + 6.0 * Z(7) + 7.5 * Z(9) + 6.5 * Z(8) + -5.0 * Z(4) + -13.0 * Z(3) | 16 | 10 | 3 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["0111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8029) q[0];
rz(-0.0027) q[0];
rx(0.5144) q[1];
rz(0.2077) q[1];
rx(-0.0012) q[2];
rz(0.4848) q[2];
rx(-0.0002) q[3];
rz(0.4416) q[3];
rx(-0.0035) q[4];
rz(0.409) q[4];
rx(0.5388) q[5];
rz(0.2812) q[5];
rx(0.8024) q[6];
rz(0.2936) q[6];
rx(0.7948) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
8934637782739148275 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [1, 5], [0, 5], [1, 4], [2, 5], [2, 3], [3, 4], [0, 1], [1, 3]]} | {"states": [21, 26], "expectation_value": -2.1453054954512925, "params": null, "bitstrings": ["101010", "100101"], "total_optimization_steps": 39, "probabilities": [0.12213132939390671, 0.6228573547530658], "optimization_time": 33.38079881668091} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "101010", "100101", "011010", "010101", "000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[4], q[3];
cry(1.3762) q[4], q[2];
ry(1.3762) q[1];
cry(-0.6633) q[2], q[5];
cry(-0.6633) q[2], q[3];
ry(0.678) q[4];
ry(0.3573) q[2];
cry(-0.7867) q[1], q[0];
cry(-0.4518) ... | 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];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
3115647320033794844 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 1]]} | {"states": [5, 6], "expectation_value": -1.3448396588962441, "params": null, "bitstrings": ["1010", "1001"], "total_optimization_steps": 18, "probabilities": [0.0562534267794353, 0.848595631511367], "optimization_time": 8.008291959762573} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[1], q[0];
ry(1.0293) q[1];
ry(-0.6992) q[0];
ry(0.7003) q[2];
cry(-0.795) q[1], q[3];
cry(0.668) q[1], q[2];
cry(0.3724) q[2], q[1];
ry(-0.1994) q[3];
cry(-0.2465) q[2], q[0];
cry(0.0825) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
68c7da6fdb681219b05150137870d7db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [0, 1], "expectation_value": -2.3199471750781533, "params": [[[0.006500000000000001, 0.1385], [0.0007, 0.3201], [0.0019, 0.21780000000000002], [0.3975, -0.0021000000000000003]], [[0.007, 0.0775], [0.005200000000000001, 0.31720000000000004], [0.004200000000000001, 0.2848], [0.3985, -0.0021000000000000003]], [... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0065) q[0];
rz(0.1385) q[0];
rx(0.0007) q[1];
rz(0.3201) q[1];
rx(0.0019) q[2];
rz(0.2178) q[2];
rx(0.3975) q[3];
rz(-0.0021) q[3];
rx(0.007) q[0];
rz(0.0775) q[0];
rx(0.0052) q[1];
rz(0.3172) q[1];
rx(0.0042) q[2];
rz(0.2848) q[2];
rx(0.3985) 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[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 22.162676572799683} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[4];
cry(-1.3016) q[3], q[0];
ry(1.2944) q[1];
ry(1.0339) q[5];
cry(-0.9947) q[5], q[2];
ry(0.6605) q[3];
ry(-0.5012) q[2];
cry(0.4275) q[1], q[5];
cry(0.2526) q[5], q[1];
ry(-0.2509) q[0];
cry(0.418... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8013599638414089011 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 7], [1, 4], [1, 2, 5, 6], [0, 1, 2, 3], [0, 3, 6], [3, 5]]} | {"states": [59, 174], "expectation_value": -0.4166323058679121, "params": [[-0.24330000000000002], [0.2461]], "bitstrings": ["11000100", "01010001"], "total_optimization_steps": 30, "probabilities": [0.0073674913421924, 0.0073722081342007025], "optimization_time": 3.2439043521881104} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["10001100", "01010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0811) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0406) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0406) q[4];
cx q[0], q[4];
cx q[2], q[7];
rz(-0.0406) q[7];
cx q[2], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 2}, {"weight": 11, "source": 1, "target": 3}, {"weight": ... | {"states": [174, 122], "expectation_value": -10.357146197868566, "params": [[0.005, -0.0446], [-0.0122, 0.057600000000000005]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006539852095624531, 0.0071001327478003515], "optimization_time": 4.362319469451904} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.035) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.035) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.035) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.035) q[3];
cx q[0], q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [65, 33], "expectation_value": -13.814109408373914, "params": null, "bitstrings": ["10111110", "11011110"], "total_optimization_steps": 29, "probabilities": [0.30275900946009937, 0.49999904538896256], "optimization_time": 27.072453260421753} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | 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(-1.57) q[1];
ry(1.5708) q[7];
ry(-1.5709) q[0];
ry(-1.5708) q[3];
ry(-1.57) q[4];
ry(-1.5706) q[6];
cry(-1.5708) q[7], q[5];
cry(1.7826) q[7], q[1];
cry(-1.7862) q[2], q[1];
cry(-0.0007) q[7], ... | 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(-1.57) 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... |
68c7da6fdb681219b05150137870d7db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -4.7499873347537624, "params": null, "bitstrings": ["1010", "1110"], "total_optimization_steps": 8, "probabilities": [1.2623559847835846e-05, 0.9999873681076068], "optimization_time": 3.3486955165863037} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.5706) q[3];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.4449) q[1];
cry(-0.1188) q[3], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
eedfffae46889ceabb09be93decddfde | 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": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [237, 109], "expectation_value": -41.75920082181193, "params": null, "bitstrings": ["00010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11663204833185992, 0.1955299066352513], "optimization_time": 176.5417125225067} | 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(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(-9.9218) q[2];
ry(11.4714) q[1];
ry(32.424) q[5];
cry(-38.4754) q[5], q[4];
cry(-7.2533) q[2], q[4];
cry(2.5282) q[5], q[2];
cry(0.3419) q[4], q[2];
ry(0.0017) q[0];
cry(0.0665... | 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(9.9081) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 89], "expectation_value": -0.24445515081556546, "params": [[-0.0512, -0.053200000000000004, -0.0432, -0.027200000000000002], [0.06420000000000001, 0.0683, 0.06470000000000001, 0.049300000000000004]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.01180039223961... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0512) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0128) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0128) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0128) q[0];
cx q[4], q[0];
cx q[3], 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[... | null | {"circuits": [], "gradients": []} |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | adaptive_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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7166, 7678], "expectation_value": -16.96007616243199, "params": null, "bitstrings": ["0010000000001", "0001000000001"], "total_optimization_steps": 100, "probabilities": [0.09227745111348416, 0.676988273225044], "optimization_time": 398.3000326156616} | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 1 | 13 | 3 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000000001001", "1000100100001", "0001000000001", "0010000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(0.4397) q[11];
ry(0.4397) q[8];
cry(1.0878) q[8], q[11];
cry(0.0908) q[11], q[8];
ry(1.5708) q[6];
cry(0.9428) q[6], q[8];
ry(1.5707) q[5];
cry(1.56... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
756d3d75bc595261d2d71e6ce1da2290 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [60, 108], "expectation_value": -0.1366574198824756, "params": [[0.0747], [-0.0649]], "bitstrings": ["1000011", "0010011"], "total_optimization_steps": 10, "probabilities": [0.008669604978999658, 0.00866960497899966], "optimization_time": 1.2374382019042969} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010011", "1000011"]} | 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(0.0747) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0747) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0747) q[6];
cx q[0], q[6];
cx q[6], q[5];
rz(0.0747) q[5];
cx q[6], q[5];
cx q[5], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6]... | null | {"circuits": [], "gradients": []} |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [127, 61], "expectation_value": -1.043435708056322, "params": [[-0.07, -0.059000000000000004, -0.0135], [0.0806, 0.07980000000000001, 0.055900000000000005]], "bitstrings": ["10000000", "11000010"], "total_optimization_steps": 10, "probabilities": [0.009754752340412697, 0.00975789904553779], "optimization_tim... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"]} | 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(0.07) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.105) q[7];
cx q[0], q[7];
cx q[1], q[5];
rz(0.035) q[5];
cx q[1], q[5];
cx q[7], q[5];
rz(0.07) q[5];
cx q[7], q[5];
cx q[1], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
57fec2aec96ea69ca0f743a52d55a27c | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [98, 100], "expectation_value": -5.778945615435067, "params": [1.8725, 0.0033, 1.8926, 0.0013000000000000002, 1.9087, -0.0036000000000000003, 0.4143, -0.0036000000000000003, -0.1704, -0.0035, 1.9080000000000001, -0.0033, 1.2409000000000001, 0.005200000000000001, -0.003, 0.0079, -1.8716000000000002, 1.2775, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["01101110", "11010011", "10011011", "01101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.8725) q[0];
rz(0.0033) q[0];
rx(1.8926) q[1];
rz(0.0013) q[1];
rx(1.9087) q[2];
rz(-0.0036) q[2];
rx(0.4143) q[3];
rz(-0.0036) q[3];
rx(-0.1704) q[4];
rz(-0.0035) q[4];
rx(1.908) q[5];
rz(-0.0033) q[5];
rx(1.2409) q[6];
rz(0.0052) q[6];
rx(-0.003) 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": []} |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [3, 1], "expectation_value": -12.249999933331463, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 22, "probabilities": [8.327887109606272e-09, 0.999999991661056], "optimization_time": 21.990377187728882} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5706) q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[4];
ry(-1.5708) q[1];
ry(-1.5486) q[5];
ry(-1.5681) q[3];
cry(-0.0222) q[7], q[5];
cry(-0.0027) q[7], q[3];
c[0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
5aa41fa14f6a892e69fb2ef8bf1750a6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [70, 102], "expectation_value": -5.16521056616809, "params": [[[0.0006000000000000001, -0.36150000000000004], [0.0036000000000000003, -0.40390000000000004], [0.7076, 0.0015], [0.6084, 0.0035], [0.4141, 0.1511], [-0.0051, 0.379], [0.6334000000000001, 0.0023], [0.7024, 0.0018000000000000002], [0.0891, 0.296500... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110011001", "110001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0006) q[0];
rz(-0.3615) q[0];
rx(0.0036) q[1];
rz(-0.4039) q[1];
rx(0.7076) q[2];
rz(0.0015) q[2];
rx(0.6084) q[3];
rz(0.0035) q[3];
rx(0.4141) q[4];
rz(0.1511) q[4];
rx(-0.0051) q[5];
rz(0.379) q[5];
rx(0.6334) q[6];
rz(0.0023) q[6];
rx(0.7024) 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": []} |
ad249eb291b54b77d27166680b0a8ce6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [17, 25], "expectation_value": -3.013711394700746, "params": [[[1.1535, 0.0033], [-0.0027, 0.0041], [1.6001, 0.0013000000000000002], [1.5984, 0.0073], [0.3678, 0.0077], [0.0053, 0.0008], [1.6003, 0.0067]]], "bitstrings": ["1101110", "1100110"], "total_optimization_steps": 160, "probabilities": [0.08747837679... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "1100110", "0110110", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.1535) q[0];
rz(0.0033) q[0];
rx(-0.0027) q[1];
rz(0.0041) q[1];
rx(1.6001) q[2];
rz(0.0013) q[2];
rx(1.5984) q[3];
rz(0.0073) q[3];
rx(0.3678) q[4];
rz(0.0077) q[4];
rx(0.0053) q[5];
rz(0.0008) q[5];
rx(1.6003) q[6];
rz(0.0067) 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] 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": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 81], "expectation_value": -4.57087889111992, "params": [0.2997, -0.062400000000000004, 0.3025, 0.0315, -0.0126, 0.16770000000000002, -0.0181, 0.1724, 0.2954, -0.057, 0.2985, 0.012, 0.0009000000000000001, 0.17980000000000002, 0.0027, 0.1811, -0.0158, -0.1369, -0.0196, -0.1386, 0.0034000000000000002, 0.15... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2997) q[0];
rz(-0.0624) q[0];
rx(-0.0126) q[1];
rz(0.1677) q[1];
rx(0.2954) q[2];
rz(-0.057) q[2];
rx(0.0009) q[3];
rz(0.1798) q[3];
rx(-0.0158) q[4];
rz(-0.1369) q[4];
rx(0.0034) q[5];
rz(0.1573) q[5];
rx(0.2945) q[6];
rz(-0.0567) q[6];
crz(0.0717) q[6],... | 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... | null | {"circuits": [], "gradients": []} |
12ada348b9c11023d80d21b40d9fce6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [5, 1], "expectation_value": -3.494911708856568, "params": [[[-0.0013000000000000002, 0.3808], [0.0035, 0.44470000000000004], [0.4651, -0.0051], [-0.0002, 0.3373], [0.6077, -0.0035]], [[-0.0034000000000000002, 0.34900000000000003], [0.0019, 0.46080000000000004], [0.46190000000000003, -0.0051], [0.0063, 0.462... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0013) q[0];
rz(0.3808) q[0];
rx(0.0035) q[1];
rz(0.4447) q[1];
rx(0.4651) q[2];
rz(-0.0051) q[2];
rx(-0.0002) q[3];
rz(0.3373) q[3];
rx(0.6077) q[4];
rz(-0.0035) q[4];
rx(-0.0034) q[0];
rz(0.349) q[0];
rx(0.0019) q[1];
rz(0.4608) q[1];
rx(0.4619) q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} |
928c5c04ed682e7a292bf13767c8c892 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "... | {"states": [4095, 127], "expectation_value": -27.07677348499226, "params": [[[-0.0023, 0.0032], [-0.0023, 0.0094], [0.0022, 0.0005], [-0.0023, 0.0089], [1.5928, 0.0021000000000000003], [-0.0023, 0.0019], [0.0024000000000000002, 0.0001], [-0.0024000000000000002, 0.006200000000000001], [-0.0023, 0.001], [0.0023, 0.009000... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(7)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(5)) + 1.0 * (Z(11) @ Z(7)) + -... | 2 | 12 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0023) q[0];
rz(0.0032) q[0];
rx(-0.0023) q[1];
rz(0.0094) q[1];
rx(0.0022) q[2];
rz(0.0005) q[2];
rx(-0.0023) q[3];
rz(0.0089) q[3];
rx(1.5928) q[4];
rz(0.0021) q[4];
rx(-0.0023) q[5];
rz(0.0019) q[5];
rx(0.0024) q[6];
rz(0.0001) q[6];
rx(-0.0024) 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] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [32, 55], "expectation_value": -5.395897748204695, "params": null, "bitstrings": ["1011111", "1001000"], "total_optimization_steps": 39, "probabilities": [0.11292546284772562, 0.72450709291946], "optimization_time": 41.949270248413086} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "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];
ry(1.5708) q[1];
ry(-1.5681) q[3];
cry(1.4449) q[5], q[4];
cry(1.218) q[4], q[5];
cry(-1.4449) q[1], q[0];
cry(1.5477) q[4], q[6];
cry(1.3) q[4], q[2];
cry(-0.601) q[1], q[2];
cry(0.7494) q[5], q[2];
ry(-... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
46ff7ad0a3644a0760a4ec2983701c5f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [88, 25], "expectation_value": -6.499937480679, "params": null, "bitstrings": ["0100111", "1100110"], "total_optimization_steps": 30, "probabilities": [1.635688897926214e-05, 0.9999687410137484], "optimization_time": 30.400402307510376} | 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(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[0];
cry(0.1217) q[3], q[2];
cry(0.1216) q[2], q[6];
cry(0.11... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
404057c7f12171487b8e4c0dec61ffa3 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.16448306891571998, "params": [[-0.026500000000000003, -0.061900000000000004], [0.0171, 0.0591]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017960114564325315, 0.01826395877694525], "optimization_time": 1.9400198459625244} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0133) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.0265) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0265) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(0.0133) q[1];
cx q[5], q[1];
cx q[2], q[4];
rz(0.039... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d56985f232688510835b204f6df74ea2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [3, 15], "expectation_value": -2.995619590624952, "params": null, "bitstrings": ["1100", "0000"], "total_optimization_steps": 22, "probabilities": [0.19633924238233472, 0.5933712050462824], "optimization_time": 6.137204170227051} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 5 | 4 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(1.5706) q[3], q[2];
cry(1.5486) q[0], q[1];
cry(1.2305) q[1], q[0];
ry(0.4382) q[3];
ry(0.1649) q[2];
cry(0.7626) q[2], q[3];
cry(0.0808) q[0], q[2];
cry(0.0461) q[0], q[3];
cry(0.027) q[1], q[2];
cry(0.0362) q[1], q[3];
ry(... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(1.5706) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh ... |
410de29119bf216687baf857e8050953 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [7, 255], "expectation_value": -12.778829306594313, "params": null, "bitstrings": ["11111000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.09205411911242456, 0.3567729909660449], "optimization_time": 155.94393801689148} | -2.5 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[4], q[3];
cry(1.5708) q[3], q[0];
cry(1.1127) q[0], q[4];
cry(1.5709) q[3], q[2];
cry(-1.1672) q[0], q[3];
ry(-0.1089) q[3];
cry(0.0637) q[2], q[3];
cry(1.3221) q[1], q[3];
cry(1.570... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
dc7c56053090d6c4ddaad32b137666dc | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.017712044312498565, "params": [[-0.0694], [0.0646]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.638635675595264e-05, 1.638635675595264e-05], "optimization_time": 14.10508131980896} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444445 * (Z(4) @ Z(0)) + 0.000462962962962963 * (Z(4) @ Z(2)) + -0.0006944444444444445 * (Z(5) @ Z(1)) + 0.000462962962962963 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000694... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592184], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259203, "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(-0.0347) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
5276f366da47fa179cbc714c41077578 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [38, 7], "expectation_value": -4.489065713757171, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 29, "probabilities": [0.060236516311253784, 0.8645372849364423], "optimization_time": 24.68325424194336} | 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(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001011", "1101010", "1011001", "1111000", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[0];
ry(1.4449) q[4];
cry(-1.0343) q[5], q[2];
cry(-1.0343) q[6], q[1];
ry(0.7003) q[5];
ry(0.7003) q[6];
ry(-0.4549) q[2];
cry(0.4963) q[4], q[5];
ry(-0.4549) q[1];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-7333735790520678795 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 2, 4], [0, 1, 3]]} | {"states": [30, 14], "expectation_value": -0.7876650088378414, "params": null, "bitstrings": ["00001", "10001"], "total_optimization_steps": 22, "probabilities": [0.02469006670555664, 0.8989843833441966], "optimization_time": 15.447991371154785} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334, -0.8333333333333334, -0.8333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100", "01001"]} | 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(1.2292) q[3];
ry(0.6331) q[2];
cry(0.4062) q[3], q[2];
cry(-0.5197) q[2], q[4];
ry(0.4912) q[1];
cry(-0.5233) q[1], q[0];
cry(0.4729) q[3], q[1];
cry(-0.4303) q[3], q[4];
cry(0.3394) q[1], q[2];
cry(-0.3103) q[1], q[4... | 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(1.2292) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
31a11ae818df971c53c10fb4beb29051 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [1799, 1823], "expectation_value": -12.478292032058611, "params": null, "bitstrings": ["00011111000", "00011100000"], "total_optimization_steps": 100, "probabilities": [0.1399282586625039, 0.46230105371837016], "optimization_time": 219.6938018798828} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(5) + -1.0 * Z(3) + 1.0 * Z(4) + 0.5 * Z(7) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00011100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[5], q[4];
ry(-1.5706) q[3];
cry(-1.9093) q[4], q[5];
cry(1.5681) q[8], q[9];
ry(1.0829) q[8];
cry(1.5701) q[9], q[10];
cry(0.4303) q[10], q[9];
cry(1.5681)... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
6be29fcf64186db29d8d06f08ec325c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [81, 89], "expectation_value": -2.805767222347322, "params": [[-0.0038, 1.056, -0.0029000000000000002, 1.2825, 0.662, -0.11460000000000001, 0.057800000000000004, 1.2753], [-0.016, 1.0496, -0.003, 0.5544, 0.077, 0.026000000000000002, 0.316, 1.2754], [0.0567, 1.0307, -0.0028, 1.2950000000000002, 1.258600000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10100110", "00110011", "00110110", "01110001", "00111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0038) q[0];
ry(1.056) q[1];
ry(-0.0029) q[2];
ry(1.2825) q[3];
ry(0.662) q[4];
ry(-0.1146) q[5];
ry(0.0578) q[6];
ry(1.2753) 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(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
b6d439c96c0f87fc03a4b5b2f2bf1805 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [159, 157], "expectation_value": -2.261042179672712, "params": [0.26080000000000003, 0.2609, 1.0982, 1.1017000000000001, -0.0026000000000000003, -0.0025, 0.1932, 0.1841, 1.1034000000000002, 1.1036000000000001, 1.0939, 1.0966, 1.1002, 1.1031, 1.1057000000000001, 1.1014000000000002, 1.0942, 1.0983, 0.444300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(7) @ Z(4) @ Z(5)) + ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100010", "101011000", "101100001", "101101000", "101110000", "011100010", "101010100", "011010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2608) q[0];
ry(1.0982) q[1];
ry(-0.0026) q[2];
ry(0.1932) q[3];
ry(1.1034) q[4];
ry(1.0939) q[5];
ry(1.1002) q[6];
ry(1.1057) q[7];
ry(1.0942) q[8];
crx(0.4443) q[8], q[0];
crx(0.4783) q[7], q[8];
crx(0.4939) q[6], q[7];
crx(0.4017) q[5], q[6];
crx(0.6628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -14.842345072431947, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 51, "probabilities": [0.10238766939330543, 0.5694301130604257], "optimization_time": 55.84222650527954} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[1];
ry(-0.1184) q[2];
ry(-0.2968) q[0];
ry(-0.6213) q[3];
cry(-1.4512) q[4], q[2];
cry(-1.274) q[5], q[0];
cry(-0.9495) q[1], q[3];
cry(-1.2937) q[5], q[1];
ry(0.6626) q[5];
cry(-0.4713) q[4], q[0];
... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
-6754211924135571060 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 6, 7, 8, 10, 11], [3, 5, 8, 10, 11], [0, 1, 5, 6, 7, 9], [1, 2, 3, 10, 11], [1, 2, 5, 6, 8], [0, 2, 4, 6, 7, 8, 9, 11], [2, 3, 6, 7, 11], [0, 1, 2, 3, 4, 5, 7, 8, 9, 10], [2, 3, 6, 8, 9, 10], [2, 3, 4, 10, 11], [1, 11, 7], [0, 2, 4, 5, 6, 7, 9],... | {"states": [1534, 2014], "expectation_value": -2.4194030894896934, "params": [[0.3774], [-0.3733]], "bitstrings": ["101000000001", "100000100001"], "total_optimization_steps": 40, "probabilities": [0.0015541289243829139, 0.0015578271571998902], "optimization_time": 38.446412324905396} | 0.02896825396825397 * (Z(0) @ Z(3)) + 0.07896825396825397 * (Z(4) @ Z(3)) + 0.10396825396825396 * (Z(4) @ Z(0)) + 0.10119047619047619 * (Z(6) @ Z(3)) + 0.15 * (Z(6) @ Z(0)) + 0.14285714285714285 * (Z(6) @ Z(4)) + 0.07896825396825398 * (Z(7) @ Z(3)) + 0.12777777777777777 * (Z(7) @ Z(0)) + 0.07063492063492063 * (Z(7) @ Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.435714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4130952380952384, "smallest_bitstrings": ["100000100001"]} | 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[3], q[0];
rz(0.0219) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0596) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0785) q[4];
cx q[0], q[4];
cx q[3], q[6];
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": []} |
fbeca3287c88ac656e8f44e35837a20d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -9.19915446161678, "params": [[-0.039400000000000004], [0.07930000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0074410682645460035, 0.007715060039204437], "optimization_time": 1.6086642742156982} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "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(-0.3546) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.3546) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(-0.3546) q[5];
cx q[4], q[5];
cx q[0], q[2];
rz(-0.3546) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -1.2512471973078683, "params": [[0.0736, 0.07780000000000001, 0.0736], [-0.0796, -0.0844, -0.0792]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.01410534602428243, 0.015767994377176006], "optimization_time": 2.8384146690368652} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.1472) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.1472) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(0.184) q[6];
cx q[0], q[6];
cx q[6], q[3];
rz(-0.0368) q[3];
cx q[6], q[3];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5f9b75a11ee0488aded9e68068b4bda7 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21674, 21930], "expectation_value": -0.04267513141432018, "params": [1.4517, 0.0063, 1.697, 0.0037, 1.3828, 0.0068000000000000005, 1.7325000000000002, 0.005, 1.4389, 0.0089, 1.7103000000000002, 0.0074, 1.491, 0.002, 1.6402, 0.005200000000000001, 1.7167000000000001, 0.0002, 1.3987, 0.0013000000000000002, 1.7... | 0.25 * (Z(0) @ Z(1)) + 0.0005859375000000001 * (Z(2) @ Z(0)) + 0.0005859375000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001953125 * (Z(4) @ Z(0)) + -0.00126953125 * (Z(4) @ Z(2)) + 0.0001953125 * (Z(5) @ Z(1)) + -0.00126953125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0011718750000000002 * (Z(6) @ Z(0)) + -0... | 16 | 16 | 1 | {"smallest_eigenvalues": [-2.016406249999962], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.016406249999949, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.4517) q[0];
rz(0.0063) q[0];
rx(1.697) q[1];
rz(0.0037) q[1];
rx(1.3828) q[2];
rz(0.0068) q[2];
rx(1.7325) q[3];
rz(0.005) q[3];
rx(1.4389) q[4];
rz(0.0089) q[4];
rx(1.7103) q[5];
rz(0.0074) q[5];
rx(1.491) q[6];
rz(0.002) q[6];
rx(1.6402) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -10.249992724246543, "params": null, "bitstrings": ["1111111111", "1111111110"], "total_optimization_steps": 25, "probabilities": [1.8175014711887074e-06, 0.999998181686791], "optimization_time": 36.94463109970093} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5681) q[9];
ry(-1.5708) q[0];
ry(-1.5486) q[1];
ry(-1.5681) q[6];
ry(-1.5485) q[5];
ry(-1.5681) q[7];
ry(-1.5681) q[4];
ry(-1.5708) q[3];
ry(-1.5486) q[8];
ry(-1.5681) q[2];... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5681) q[9];\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]... |
3012e1b6018e3f767ff12c1a3a3c35a1 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [749, 685], "expectation_value": -0.8624918207966028, "params": [0.9918, 0.2682, 0.3738, 0.37220000000000003, 0.9959, 0.30510000000000004, 0.7675000000000001, 0.2097, 1.0028000000000001, -0.1714, 0.3558, 0.3281, 0.9996, 0.0951, 1.0057, -0.11510000000000001, 0.35350000000000004, 0.34850000000000003, 1.0034, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010010", "0011010010", "1000011010", "0010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9918) q[0];
rz(0.2682) q[0];
rx(0.3738) q[1];
rz(0.3722) q[1];
rx(0.9959) q[2];
rz(0.3051) q[2];
rx(0.7675) q[3];
rz(0.2097) q[3];
rx(1.0028) q[4];
rz(-0.1714) q[4];
rx(0.3558) q[5];
rz(0.3281) q[5];
rx(0.9996) q[6];
rz(0.0951) q[6];
rx(1.0057) 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": []} |
-2321823589419833306 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 7], [8, 6], [8, 3, 5], [0, 4], [8, 2], [9, 5]]} | {"states": [306, 54], "expectation_value": -2.680802251078318, "params": null, "bitstrings": ["1011001101", "1111001001"], "total_optimization_steps": 86, "probabilities": [0.04869971852070162, 0.7194326633307399], "optimization_time": 130.0235047340393} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.16666666666666674 * Z(8) + 0.16666666666666666 * Z(3) +... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0111101001", "1010011100", ... | 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(-1.0342) q[8], q[6];
ry(0.971) q[8];
cry(-1.3758) q[8], q[2];
ry(-0.6611) q[6];
cry(-1.0342) q[7], q[1];
cry(-1.0342) q[4], q[0];
cry(-1.0342) q[5], q[9];
ry(0.7884) q[5];
ry... | null | null | {"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(-1.0342) q[8], 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] = meas... |
24e9c86cfdb3e8240ca21f54feb2ae3f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [0, 120], "expectation_value": -2.51121694684114, "params": [0.3896, -0.5776, 1.206, -0.0019, 1.2108, -0.0033, 1.2041, 0.0038, 1.2137, -0.004, 1.2062000000000002, 0.003, 0.5800000000000001, -0.19060000000000002, 0.5704, 0.008700000000000001, 0.0182, 1.1904000000000001, 1.196, 1.1933, -1.1834, -1.1865, 0.7624... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(7) + 0.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(5) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000111", "10001011", "10010110", "00101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3896) q[0];
rz(-0.5776) q[0];
rx(1.206) q[1];
rz(-0.0019) q[1];
rx(1.2108) q[2];
rz(-0.0033) q[2];
rx(1.2041) q[3];
rz(0.0038) q[3];
rx(1.2137) q[4];
rz(-0.004) q[4];
rx(1.2062) q[5];
rz(0.003) q[5];
rx(0.58) q[6];
rz(-0.1906) q[6];
rx(0.5704) 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": []} |
-1918728557046605604 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 6], [1, 3, 5], [0, 1], [4, 5], [0, 2], [2, 3], [2, 4, 6], [3, 5, 6], [1, 6]]} | {"states": [108, 77], "expectation_value": -2.8221093468218927, "params": null, "bitstrings": ["0010011", "0110010"], "total_optimization_steps": 47, "probabilities": [0.08584264158814162, 0.7340589917955527], "optimization_time": 55.12669324874878} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.1666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0110010"]} | 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(1.4449) q[3];
cry(-1.3577) q[0], q[2];
ry(0.8021) q[0];
cry(-1.323) q[6], q[1];
ry(0.9874) q[6];
cry(-0.6882) q[0], q[1];
cry(-0.585) q[3], q[2];
cry(0.5516) q[3], q[0];
cry(-1.0191) q[4], q[5];
ry(0.9... | 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(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
1049cfa8639925904f7116bd26d3940f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [192, 198], "expectation_value": -5.034480425326173, "params": [[[0.26830000000000004, -0.46730000000000005, 0.0039000000000000003, 0.0079], [0.21580000000000002, 0.6277, 0.8001, 0.0848], [0.07440000000000001, -0.2587, 0.033, -0.19990000000000002], [0.0268, -0.31870000000000004, -0.034, -0.2798], [-0.0732, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + ... | 11 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00111001", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2683) q[0];
rz(-0.4673) q[0];
ry(0.2158) q[1];
rz(0.6277) q[1];
ry(0.0744) q[2];
rz(-0.2587) q[2];
ry(0.0268) q[3];
rz(-0.3187) q[3];
ry(-0.0732) q[4];
rz(0.1634) q[4];
ry(0.3804) q[5];
rz(0.0019) q[5];
ry(0.1271) q[6];
rz(0.0117) q[6];
ry(0.0021) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [2, 0], "expectation_value": -0.049087167969764575, "params": [[0.0761], [-0.0733]], "bitstrings": ["101", "111"], "total_optimization_steps": 10, "probabilities": [0.12646017732514458, 0.12919535233902177], "optimization_time": 0.8221752643585205} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0381) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0381) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(0.0381) q[2];
cx q[1], q[2];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0381) q[2];
cx q[0], q[2];
cx q[1], q[0];
rz(-0.1142) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[0];
cx q[0], q[2... | null | {"circuits": [], "gradients": []} |
1e9e9fd16803043bf14602f8d69de988 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [1022, 511], "expectation_value": -9.992125713485605, "params": [[[0.0279, 1.2368000000000001], [-0.0026000000000000003, -0.0505], [-0.006200000000000001, -0.0027], [-0.0037, -0.0026000000000000003], [-0.0009000000000000001, -0.0029000000000000002], [-0.0034000000000000002, -0.0027], [-0.0035, 0.003100000000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(3)) + -0.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @... | 15 | 10 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0279) q[0];
ry(-0.0026) q[1];
ry(-0.0062) q[2];
ry(-0.0037) q[3];
ry(-0.0009) q[4];
ry(-0.0034) q[5];
ry(-0.0035) q[6];
ry(-0.0025) q[7];
ry(-0.2345) q[8];
ry(0.0704) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-6018359974562224371 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5, 7], [1, 3], [2, 4], [1, 5], [0, 4, 7], [4, 6, 7], [0, 3, 6]]} | {"states": [29, 227], "expectation_value": -0.049191358588139174, "params": [[0.0661], [-0.06470000000000001]], "bitstrings": ["11100010", "00011100"], "total_optimization_steps": 10, "probabilities": [0.004208032929086452, 0.004232223766390954], "optimization_time": 1.2064604759216309} | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6999999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["00011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0066) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0066) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0286) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0066) q[5];
cx q[2], q[5];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [23, 31], "expectation_value": -2.0075021847487347, "params": [[-0.0666, -0.069, -0.047400000000000005, -0.0721], [0.07490000000000001, 0.0787, 0.062400000000000004, 0.067]], "bitstrings": ["1101000", "1100000"], "total_optimization_steps": 10, "probabilities": [0.023593018290427627, 0.025629973888601967], "... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0999) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0666) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.0999) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.0999) q[2];
cx q[3], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
239e0c960fc9df6885bc085f6bdae7ed | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.54315901882519, "params": [0.003, -0.542, 0.0029000000000000002, 0.0021000000000000003, 0.0027, -0.5874, 0.0027, 0.0029000000000000002, 0.7993, 0.109, 0.8008000000000001, 0.0088, 0.0029000000000000002, -0.526, 0.003, 0.0012000000000000001, 0.0026000000000000003, -0.5889, 0.... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(3)) + 1.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(10)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.003) q[0];
rz(-0.542) q[0];
rx(0.0027) q[1];
rz(-0.5874) q[1];
rx(0.7993) q[2];
rz(0.109) q[2];
rx(0.0029) q[3];
rz(-0.526) q[3];
rx(0.0026) q[4];
rz(-0.5889) q[4];
rx(0.0025) q[5];
rz(-0.5917) q[5];
rx(0.0029) q[6];
rz(-0.4893) q[6];
rx(0.003) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
3d48be966ec63d77ff020a1223ab7d08 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [1, 33], "expectation_value": -12.019423224994206, "params": [0.0059, 0.5321, 0.0038, 0.7609, 0.002, 0.8888, 0.5388000000000001, -0.0103, 0.0027, 0.8901, -0.058100000000000006, 0.779, 0.0026000000000000003, 0.7878000000000001, 0.003, 0.8886000000000001, 1.0537, 0.0035, -0.001, 0.7741, 0.0016, 0.6064, 0.00240... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 4 | 9 | 3 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "111010110", "101011110", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0059) q[0];
rz(0.5321) q[0];
rx(0.0038) q[1];
rz(0.7609) q[1];
rx(0.002) q[2];
rz(0.8888) q[2];
rx(0.5388) q[3];
rz(-0.0103) q[3];
rx(0.0027) q[4];
rz(0.8901) q[4];
rx(-0.0581) q[5];
rz(0.779) q[5];
rx(0.0026) q[6];
rz(0.7878) q[6];
rx(0.003) q[7];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
5f6a3a394989efc9e52881f3a8eeec48 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "targ... | {"states": [2047, 16383], "expectation_value": -27.26985320103878, "params": [[[-0.0023, 0.0082], [-0.0023, 0.0033], [1.5616, 0.0015], [-0.0027, 0.0067], [-0.0027, 0.0018000000000000002], [-0.0023, 0.0051], [1.5229000000000001, 0.0058000000000000005], [-0.003, 0.0095], [-0.0165, 0.0086], [1.4789, 0.0001], [-0.0019, 0.0... | -2.0 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(11)) + -2.0 * (Z(12) @ Z(11)... | 2 | 14 | 1 | {"smallest_eigenvalues": [-33.00000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.999999999999577, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(-0.0023) q[0];
rz(0.0082) q[0];
rx(-0.0023) q[1];
rz(0.0033) q[1];
rx(1.5616) q[2];
rz(0.0015) q[2];
rx(-0.0027) q[3];
rz(0.0067) q[3];
rx(-0.0027) q[4];
rz(0.0018) q[4];
rx(-0.0023) q[5];
rz(0.0051) q[5];
rx(1.5229) q[6];
rz(0.0058) q[6];
rx(-0.003) 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": 0} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [443, 427], "expectation_value": -3.76153343198653, "params": [3.0649, 0.006200000000000001, 2.9934000000000003, 0.003, 1.5350000000000001, 0.0027, 2.7714000000000003, 0.0081, 1.5593000000000001, 0.0039000000000000003, 3.0505, 0.0034000000000000002, 1.5416, 0.0037, 3.0273000000000003, 0.0014, 3.0193000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["100010001", "010001100", "001100010", "100001010", "010100001", "001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(3.0649) q[0];
rz(0.0062) q[0];
rx(2.9934) q[1];
rz(0.003) q[1];
rx(1.535) q[2];
rz(0.0027) q[2];
rx(2.7714) q[3];
rz(0.0081) q[3];
rx(1.5593) q[4];
rz(0.0039) q[4];
rx(3.0505) q[5];
rz(0.0034) q[5];
rx(1.5416) q[6];
rz(0.0037) q[6];
rx(3.0273) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14318, 14190], "expectation_value": -9.78192704941483, "params": [0.0609, -0.51, 1.0635000000000001, -0.1849, 1.0585, -0.07, 0.0863, -0.47800000000000004, 1.1189, -0.1009, 0.6477, -0.0046, 0.8962, 0.15030000000000002, 1.1824000000000001, 0.30510000000000004, 0.8922, 0.2533, 1.0666, -0.055200000000000006, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 4 | 15 | 3 | {"smallest_eigenvalues": [-10.249999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.24999999999997, "smallest_bitstrings": ["100100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0609) q[0];
rz(-0.51) q[0];
rx(1.0635) q[1];
rz(-0.1849) q[1];
rx(1.0585) q[2];
rz(-0.07) q[2];
rx(0.0863) q[3];
rz(-0.478) q[3];
rx(1.1189) q[4];
rz(-0.1009) q[4];
rx(0.6477) q[5];
rz(-0.0046) q[5];
rx(0.8962) q[6];
rz(0.1503) q[6];
rx(1.1824) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
199bc20adfdca6d6b6a06391ec8e4ac2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [52, 75], "expectation_value": -0.8069647296009568, "params": [[-0.0599, -0.062, -0.07200000000000001, -0.0626], [0.0692, 0.0636, 0.0699, 0.065]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.01728939124745002, 0.01865161337932035], "optimization_time": 5.89904856... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"]} | 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(-0.0599) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0599) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0599) q[1];
cx q[3], q[1];
cx q[1], q[6];
rz(-0.0599) q[6];
cx q[1], q[6];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
2421fc9d3041dfa736f6d4a9d4006e90 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [0, 404], "expectation_value": -2.8248974256745725, "params": [0.6061000000000001, -0.0025, 0.6072000000000001, 0.0092, 0.6065, 0.0004, 0.6071000000000001, 0.005200000000000001, 0.6006, 0.0022, 0.4369, 0.009000000000000001, 0.5971000000000001, -0.0023, 0.5872, 0.0002, 0.604, -0.0008, 0.6032000000000001, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(8) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["110111000", "001101011", "011100011", "011000111", "100101011", "100111010", "001001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6061) q[0];
rz(-0.0025) q[0];
rx(0.6065) q[1];
rz(0.0004) q[1];
rx(0.6006) q[2];
rz(0.0022) q[2];
rx(0.5971) q[3];
rz(-0.0023) q[3];
rx(0.604) q[4];
rz(-0.0008) q[4];
rx(0.6024) q[5];
rz(0.0007) q[5];
rx(0.6085) q[6];
rz(0.002) q[6];
rx(0.5541) 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": []} |
7d160cc7b50a54e4c33d04d7e7936b16 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [88, 90], "expectation_value": -5.365182847918444, "params": [0.0023, 0.5438000000000001, 0.0031000000000000003, 0.006900000000000001, -0.0036000000000000003, 0.5321, -0.004, 0.0055000000000000005, 0.906, -0.003, 0.9102, 0.0028, 0.6972, 0.08800000000000001, 0.6951, 0.0077, 0.9084000000000001, -0.0025, 0.9004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100101", "110000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(0.5438) q[0];
rx(-0.0036) q[1];
rz(0.5321) q[1];
rx(0.906) q[2];
rz(-0.003) q[2];
rx(0.6972) q[3];
rz(0.088) q[3];
rx(0.9084) q[4];
rz(-0.0025) q[4];
rx(0.8983) q[5];
rz(0.004) q[5];
rx(0.0012) q[6];
rz(0.4556) q[6];
rx(0.8596) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5423c73a68fe47c6453c3bd130085afd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [1381, 1397], "expectation_value": -2.4511330677684815, "params": [1.494, 1.4904000000000002, -0.010100000000000001, -0.003, 1.4947000000000001, 1.4985000000000002, 0.0323, 0.0645, 1.2373, 1.3238, 1.4843000000000002, 1.487, 0.8469, 0.9037000000000001, 0.4258, 0.44270000000000004, 1.4982, 1.4934, 0.2351, -0.1... | 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(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(4)... | 14 | 11 | 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, -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": 28, "first_excited_energy": -2.25, "smallest_bitstrings": ["001... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.494) q[0];
ry(-0.0101) q[1];
ry(1.4947) q[2];
ry(0.0323) q[3];
ry(1.2373) q[4];
ry(1.4843) q[5];
ry(0.8469) q[6];
ry(0.4258) q[7];
ry(1.4982) q[8];
ry(0.2351) q[9];
ry(1.4998) q[10];
crx(1.4663) q[10], q[0];
crx(0.0006) q[9], q[10];
crx(-0.7232) q[8], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8906358433123276868 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 7, 8], [9, 10], [1, 2, 3, 4, 5, 7], [0, 1, 2, 3, 5, 7, 10], [0, 1, 3, 4, 5, 6, 7, 8, 9], [2, 10, 6, 7], [10, 4, 6, 7], [1, 2, 4, 5, 6, 8, 10], [0, 1, 2, 8], [0, 2, 3, 5, 8, 10]]} | {"states": [1886, 862], "expectation_value": -2.293506141965856, "params": [2.2626, 0.3075, 1.3359, 0.0082, 2.2494, -0.10250000000000001, 0.8601000000000001, 0.0029000000000000002, 2.2295000000000003, -0.14830000000000002, 0.9082, 0.007200000000000001, 0.0594, 1.2308000000000001, 0.0514, 0.0079, 2.2458, -0.1283, 0.8397... | 0.1738095238095238 * (Z(0) @ Z(3)) + 0.14761904761904762 * (Z(6) @ Z(3)) + 0.10436507936507936 * (Z(6) @ Z(0)) + 0.14047619047619048 * (Z(7) @ Z(3)) + 0.04722222222222222 * (Z(7) @ Z(0)) + 0.07103174603174603 * (Z(7) @ Z(6)) + 0.1738095238095238 * (Z(8) @ Z(3)) + 0.07103174603174603 * (Z(8) @ Z(0)) + 0.1043650793650793... | 5 | 11 | 1 | {"smallest_eigenvalues": [-2.314285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3142857142857145, "smallest_bitstrings": ["10010100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.2626) q[0];
rz(0.3075) q[0];
rx(2.2494) q[1];
rz(-0.1025) q[1];
rx(2.2295) q[2];
rz(-0.1483) q[2];
rx(0.0594) q[3];
rz(1.2308) q[3];
rx(2.2458) q[4];
rz(-0.1283) q[4];
rx(0.4599) q[5];
rz(-1.0968) q[5];
rx(1.9704) q[6];
rz(-0.0232) q[6];
rx(2.2559) 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": []} |
20970404a709abf32c149bb2130f8702 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"sour... | {"states": [70, 86], "expectation_value": -5.735565193201615, "params": [0.3151, 0.0011, 0.0022, 0.0023, 2.6026000000000002, 0.008400000000000001, 0.34240000000000004, 0.0049, 1.6282, 0.0067, -0.002, 0.0055000000000000005, 2.612, 0.0059, 2.5781, 0.002, 0.0018000000000000002, 0.006, 0.0077, 0.0041, 0.0071, 0.0079, 0.003... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(1) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110101001", "010101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3151) q[0];
rz(0.0011) q[0];
rx(0.0022) q[1];
rz(0.0023) q[1];
rx(2.6026) q[2];
rz(0.0084) q[2];
rx(0.3424) q[3];
rz(0.0049) q[3];
rx(1.6282) q[4];
rz(0.0067) q[4];
rx(-0.002) q[5];
rz(0.0055) q[5];
rx(2.612) q[6];
rz(0.0059) q[6];
rx(2.5781) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2353079fa286d356ce3844ef645b5899 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.5937994039927538, "params": [[-0.057600000000000005, -0.0546], [0.0732, 0.0632]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006394701433932124, 0.006428875783330859], "optimization_time": 3.5166401863098145} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "10001000", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0576) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(0.0576) q[1];
cx q[2], q[1];
cx q[0], q[7];
rz(-0.0864) q[7];
cx q[0], q[7];
cx q[1], q[7];
rz(0.0288) q[7];
cx q[1], q[7];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
64945dc18f78a33560af97db99744897 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [116, 100], "expectation_value": -0.11515889639244659, "params": [[0.0472], [-0.042]], "bitstrings": ["0001011", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008275963636159548, 0.008344680225801758], "optimization_time": 1.542785406112671} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0472) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0472) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0472) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(0.0472) q[1];
cx q[3], q[1];
cx q[6], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
-5036348461379120819 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4], [0, 1, 2, 7], [0, 1, 2, 3, 8], [0, 2, 4, 6], [1, 2, 3, 7, 8], [5, 6, 7], [1, 4, 6], [0, 1, 5], [0, 2, 5, 6], [0, 2, 3, 4], [8, 3, 4, 6], [1, 2, 4, 5], [1, 2, 3, 5], [8, 5, 6], [0, 1, 4, 7], [1, 5, 6], [1, 3, 4]]} | {"states": [423, 485], "expectation_value": -2.3564104705950637, "params": [[-0.28400000000000003], [0.2674]], "bitstrings": ["001011000", "000011010"], "total_optimization_steps": 30, "probabilities": [0.006365467483451377, 0.00638419815918839], "optimization_time": 25.24676203727722} | 0.26666666666666666 * (Z(8) @ Z(1)) + 0.6666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.3833333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(4)) + 0.35 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(8)) + 0.25 * (Z(2) @ Z(4)) + 0.3833333333333333 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["000011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.1515) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(-0.3787) q[4];
cx q[1], q[4];
cx q[8], q[4];
rz(-0.142) q[4];
cx q[8], q[4];
cx q[1], q[0];
rz(-0.2177) 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] 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": []} |
7088155896189521367 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 2, 3], [3, 4], [1, 3], [0, 2, 4], [1, 2, 4], [0, 1]]} | {"states": [26, 45], "expectation_value": -2.0854461072035653, "params": null, "bitstrings": ["100101", "010010"], "total_optimization_steps": 36, "probabilities": [0.03932089736558078, 0.8157007685182215], "optimization_time": 33.007139921188354} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.4449) q[2];
cry(-1.0324) q[5], q[1];
ry(0.6997) q[5];
cry(-0.7095) q[3], q[1];
cry(1.1527) q[5], q[3];
cry(-1.1582) q[3], q[4];
cry(1.2371) q[3], q[0];
cry(-0.3969) q[0], q[1];
cry(0.5766) q[3], q[5];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
299d787a74f99e62ffab217c63ae883b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 118], "expectation_value": -48.75125658062877, "params": [0.3764, 0.2008, 0.6927, 0.0109, 0.6955, 0.0071, 0.6914, 0.0346, 0.3534, 0.28340000000000004, 0.6967, 0.0038, 0.7032, 0.11910000000000001, 0.2745, 0.24020000000000002, 0.37560000000000004, 0.19640000000000002, 0.6898000000000001, 0.0046, 0.695900... | 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 15.0 * Z(3) + 13.5 * Z(2) + 7.0 * Z(0) + 16.5 * Z(1) + 4.5 * Z(4) + 5.0 * Z(5) + 9.5 * Z(6) + 3.0 * ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3764) q[0];
rz(0.2008) q[0];
rx(0.6927) q[1];
rz(0.0109) q[1];
rx(0.6955) q[2];
rz(0.0071) q[2];
rx(0.6914) q[3];
rz(0.0346) q[3];
rx(0.3534) q[4];
rz(0.2834) q[4];
rx(0.6967) q[5];
rz(0.0038) q[5];
rx(0.7032) q[6];
rz(0.1191) q[6];
rx(0.2745) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
33b2be145a0c62bacf2b1fe6560b3105 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [0, 1021], "expectation_value": -13.91538411052658, "params": [[[0.0651, -0.014], [-0.656, 1.3034000000000001], [-0.0028, 0.613], [-0.0031000000000000003, -0.0023], [-0.0066, -0.0019], [0.3019, 0.0023], [-0.003, 0.0031000000000000003], [-0.0031000000000000003, -0.0019], [-0.0029000000000000002, -0.0024000000... | -0.5 * (Z(0) @ Z(9)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.25 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(9)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.25 * (Z(5) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-15.5, -15.5, -15.5, -15.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -14.5, "smallest_bitstrings": ["10000000010", "10001010010", "10001000010", "10000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0651) q[0];
ry(-0.656) q[1];
ry(-0.0028) q[2];
ry(-0.0031) q[3];
ry(-0.0066) q[4];
ry(0.3019) q[5];
ry(-0.003) q[6];
ry(-0.0031) q[7];
ry(-0.0029) q[8];
ry(0.0024) q[9];
ry(-0.002) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
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