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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8b9699e184b2dee4b86c87a62e9c7e5c | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.3621280125335311, "params": [[0.0269, -0.009000000000000001, -0.0018000000000000002, 0.0687], [-0.0426, -0.0057, 0.010400000000000001, -0.0371]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0051179724976138504, 0.00524119375094... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "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];
cx q[1], q[0];
rz(-0.0135) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0269) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0269) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.0269) q[6];
cx q[1], 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": 7} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -2.324925440086811, "params": [[-0.0287, 0.0499, 0.0257, 0.0679], [0.0689, -0.0337, -0.015700000000000002, -0.0441]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.04423173075192899, 0.04423173075192899], "optimization_time": 6.151701688766... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1004) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1004) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1004) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1148) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1004) 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[... | {"k": 3} | {"circuits": [], "gradients": []} |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -9.35861251054978, "params": [[[0.0024000000000000002, 0.0091], [0.0023, 0.0023], [0.0024000000000000002, 0.009000000000000001], [0.0023, 0.0032], [0.0024000000000000002, 0.0], [0.0026000000000000003, 0.0043], [0.0024000000000000002, 0.0068000000000000005], [1.607, 0.004800000000... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 1 | {"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;
rx(0.0024) q[0];
rz(0.0091) q[0];
rx(0.0023) q[1];
rz(0.0023) q[1];
rx(0.0024) q[2];
rz(0.009) q[2];
rx(0.0023) q[3];
rz(0.0032) q[3];
rx(0.0024) q[4];
rz(0) q[4];
rx(0.0026) q[5];
rz(0.0043) q[5];
rx(0.0024) q[6];
rz(0.0068) q[6];
rx(1.607) q[7];
rz(0.0048) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1dc00844db3f5364ba0548845dd55331 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [508, 511], "expectation_value": -0.951158423582904, "params": [[0.0702], [-0.0649]], "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0029012207079376568, 0.0029012207079376568], "optimization_time": 1.6253721714019775} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "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[1], q[0];
rz(-0.1404) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.351) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.2808) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.2808) q[4];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 9} | {"circuits": [], "gradients": []} |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.34944203916312, "params": [-0.036500000000000005, -0.0223, -0.0316, -0.004200000000000001, 0.0043, 0.11510000000000001, 0.0011, 0.1558, 0.0035, 0.1521, -0.0007, 0.1626, 0.004200000000000001, 0.1061, -0.0012000000000000001, 0.16010000000000002, 0.003, 0.1602, 0.0015, 0.1635, 0.... | -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) @ ... | 6 | 10 | 4 | {"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;
rx(-0.0365) q[0];
rz(-0.0223) q[0];
rx(0.0043) q[1];
rz(0.1151) q[1];
rx(0.0035) q[2];
rz(0.1521) q[2];
rx(0.0042) q[3];
rz(0.1061) q[3];
rx(0.003) q[4];
rz(0.1602) q[4];
rx(0.0005) q[5];
rz(0.152) q[5];
rx(0.0028) q[6];
rz(0.1652) q[6];
rx(-0.0001) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-233323863368405135 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 3, 4, 6], [3, 4, 5, 6], [0, 1], [1, 6], [2, 6]]} | {"states": [69, 71], "expectation_value": -2.2384689387840075, "params": null, "bitstrings": ["0111010", "0111000"], "total_optimization_steps": 42, "probabilities": [0.12949214765286549, 0.7499823615838198], "optimization_time": 54.611522912979126} | 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[1];
ry(1.4138) q[4];
cry(-0.7094) q[0], q[1];
ry(1.1268) q[6];
cry(-1.3948) q[6], q[2];
cry(-0.4047) q[4], q[1];
cry(1.295) q[6], q[0];
cry(0.2484) q[4], q[6];
ry(-0.1748) q[1];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
3a1b6a9bf7270007712b664c84a12e64 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [22, 113], "expectation_value": -0.7613130074906443, "params": [[-0.06470000000000001, -0.08370000000000001], [0.0646, 0.0748]], "bitstrings": ["1101001", "0001110"], "total_optimization_steps": 10, "probabilities": [0.011668996824464753, 0.012178165949110031], "optimization_time": 3.2729620933532715} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | 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(-0.0647) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0647) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0647) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.0647) q[5];
cx q[3], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [124, 118], "expectation_value": -18.434095673081632, "params": [[-0.0285, -0.0159], [0.0591, 0.07300000000000001]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010134446556749836, 0.01235655747513574], "optimization_time": 3.142512321472168} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.228) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.228) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.228) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.228) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.4178306724686929, "params": [[-0.061000000000000006, -0.0376], [0.0709, 0.0548]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.019411485142184583, 0.02004984711521917], "optimization_time": 2.685336112976074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.061) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.061) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.061) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.061) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.061... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
-8386646673186710872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 2], [9, 4, 6], [0, 10, 5], [1, 3], [9, 6, 7], [0, 4, 6], [8, 1, 9], [1, 2, 4]]} | {"states": [1643, 1611], "expectation_value": -2.8609595785010153, "params": [0.9540000000000001, -0.0021000000000000003, 2.185, 0.0063, 1.5795000000000001, -0.0026000000000000003, 1.5670000000000002, 0.0058000000000000005, 0.0024000000000000002, -2.3135, -0.0024000000000000002, 0.0039000000000000003, 0.0016, 0.3513, 0... | 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(... | 7 | 11 | 1 | {"smallest_eigenvalues": [-3.0000000000000004, -3.0000000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.9999999999999996, "smallest_bitstrings": ["00110110100", "00011001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.954) q[0];
rz(-0.0021) q[0];
rx(1.5795) q[1];
rz(-0.0026) q[1];
rx(0.0024) q[2];
rz(-2.3135) q[2];
rx(0.0016) q[3];
rz(0.3513) q[3];
rx(1.568) q[4];
rz(-0.0027) q[4];
rx(0.7573) q[5];
rz(-0.7927) q[5];
rx(-0.0028) q[6];
rz(-0.4049) q[6];
rx(1.9894) 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": []} |
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": -4.772620424632315, "params": [[[-0.0028, 0.22560000000000002], [0.3106, 0.005], [0.0038, 0.2931], [0.0014, 0.28290000000000004], [0.0028, 0.2801], [0.4091, 0.0033]], [[-0.0064, 0.1693], [0.3129, 0.005], [-0.00030000000000000003, 0.2223], [0.0035, 0.2985], [0.005, 0.2505], [0.405... | -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 | 4 | {"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(-0.0028) q[0];
rz(0.2256) q[0];
rx(0.3106) q[1];
rz(0.005) q[1];
rx(0.0038) q[2];
rz(0.2931) q[2];
rx(0.0014) q[3];
rz(0.2829) q[3];
rx(0.0028) q[4];
rz(0.2801) q[4];
rx(0.4091) q[5];
rz(0.0033) q[5];
rx(-0.0064) q[0];
rz(0.1693) q[0];
rx(0.3129) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
40a4a98646d10cc827d706334d3325a9 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [400, 401], "expectation_value": -6.941904506700702, "params": [[[0.6001000000000001, -0.0031000000000000003], [0.6066, 0.0028], [0.0032, 0.3373], [0.1646, 0.2288], [0.607, 0.0029000000000000002], [0.1457, -0.24580000000000002], [0.0048000000000000004, -0.3053], [0.001, 0.3019], [0.6001000000000001, 0.003400... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["101100110", "011001110", "001101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6001) q[0];
rz(-0.0031) q[0];
rx(0.6066) q[1];
rz(0.0028) q[1];
rx(0.0032) q[2];
rz(0.3373) q[2];
rx(0.1646) q[3];
rz(0.2288) q[3];
rx(0.607) q[4];
rz(0.0029) q[4];
rx(0.1457) q[5];
rz(-0.2458) q[5];
rx(0.0048) q[6];
rz(-0.3053) q[6];
rx(0.001) 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": []} |
344874972216188870 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2], [5, 7], [0, 3, 6], [0, 2, 3], [0, 1], [2, 4]]} | {"states": [743, 615], "expectation_value": -1.3124342221609244, "params": [[[1.6014000000000002, 0.002, 0.0081, 0.0057], [1.5806, 0.0031000000000000003, 0.7815000000000001, 0.0035], [1.5969, 0.0008, 0.0066, 0.009600000000000001], [0.43260000000000004, -0.0038, 1.4973, 0.00030000000000000003], [1.5856000000000001, 0.00... | 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3... | 12 | 10 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4999999999999996, "smallest_bitstrings": ["0110001100", "0110011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.6014) q[0];
rz(0.002) q[0];
ry(1.5806) q[1];
rz(0.0031) q[1];
ry(1.5969) q[2];
rz(0.0008) q[2];
ry(0.4326) q[3];
rz(-0.0038) q[3];
ry(1.5856) q[4];
rz(0.0087) q[4];
ry(0.0042) q[5];
rz(0.8639) q[5];
ry(0.0921) q[6];
rz(0.0004) q[6];
ry(0.6141) 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": []} |
902d1b67930e0629acecd09204caf4e9 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -11.012789664776811, "params": [[[-0.0199, -1.5553000000000001], [0.0025, -0.0244], [1.6018000000000001, -0.0016], [-0.0029000000000000002, 0.0023], [-0.0038, 0.002], [-0.0027, 0.0014], [-1.4851, 1.4366], [0.0183, -1.2264000000000002]], [[-0.0125, -0.0219], [0.0001, 0.19920000... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 15 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0199) q[0];
ry(0.0025) q[1];
ry(1.6018) q[2];
ry(-0.0029) q[3];
ry(-0.0038) q[4];
ry(-0.0027) q[5];
ry(-1.4851) q[6];
ry(0.0183) 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];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
7d8b3d8ceec2d81b644dfcbc98592f50 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [380, 382], "expectation_value": -2.994292897230993, "params": [-0.0044, -0.0073, 0.4954, 0.4969, 0.0896, 0.0883, 0.4295, 0.43720000000000003, 0.43320000000000003, 0.4218, 0.48750000000000004, 0.4878, 0.4918, 0.4883, 0.45580000000000004, 0.4854, 0.3557, 0.3418, 0.0815, 0.0833, -0.0094, 0.011600000000000001, ... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 14 | 10 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1000100100", "1010000001", "1001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0044) q[0];
ry(0.4954) q[1];
ry(0.0896) q[2];
ry(0.4295) q[3];
ry(0.4332) q[4];
ry(0.4875) q[5];
ry(0.4918) q[6];
ry(0.4558) q[7];
ry(0.3557) q[8];
ry(0.0815) q[9];
crx(0.0495) q[9], q[0];
crx(-0.2186) q[8], q[9];
crx(-0.0537) q[7], q[8];
crx(0.1077) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
5d969f3e881e7d52d3f80c9e7cdea154 | 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": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 3}, {"weight": 2, "source... | {"states": [357, 293], "expectation_value": -55.37015041139499, "params": [[[1.2994, 0.0006000000000000001], [-0.0032, -0.7282000000000001], [0.6929000000000001, 0.2944], [1.3, -0.0013000000000000002], [-0.0031000000000000003, 0.7132000000000001], [-0.0026000000000000003, 0.754], [1.3045, 0.0016], [-0.0033, 0.7559], [1... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 4.0 * Z(3) + -6.0 * Z(4) + -7.0 * Z(5) + -1.0 * Z(6) + -7.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2994) q[0];
rz(0.0006) q[0];
rx(-0.0032) q[1];
rz(-0.7282) q[1];
rx(0.6929) q[2];
rz(0.2944) q[2];
rx(1.3) q[3];
rz(-0.0013) q[3];
rx(-0.0031) q[4];
rz(0.7132) q[4];
rx(-0.0026) q[5];
rz(0.754) q[5];
rx(1.3045) q[6];
rz(0.0016) q[6];
rx(-0.0033) 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
4914270367321221261 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [3, 6], [1, 2, 6], [3, 4, 5], [1, 5, 6], [0, 2, 4, 5]]} | {"states": [62, 47], "expectation_value": -2.1431818675703145, "params": null, "bitstrings": ["11000001", "11010000"], "total_optimization_steps": 48, "probabilities": [0.05062246062130733, 0.9036366880657132], "optimization_time": 57.33436846733093} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["00001011", "11010000"]} | 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(1.4074) q[5];
cry(-1.0311) q[7], q[3];
ry(1.3144) q[6];
cry(-0.5042) q[6], q[3];
ry(1.1433) q[7];
ry(-0.4337) q[3];
cry(0.8431) q[7], q[4];
cry(-0.7417) q[6], q[1];
cry(0.2058) q[7], q[6];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4074) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
13ee655a02302744202e557b5a0f770c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [166, 170], "expectation_value": -5.884426985348303, "params": [0.2999, -0.0007, 0.3052, -0.0002, 0.033800000000000004, -0.14550000000000002, 0.0297, -0.1514, 0.3003, -0.0023, 0.308, -0.0094, 0.0012000000000000001, 0.16720000000000002, -0.0022, 0.1713, 0.28900000000000003, 0.1348, 0.2964, 0.1419, 0.2833, 0.1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["01011001", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2999) q[0];
rz(-0.0007) q[0];
rx(0.0338) q[1];
rz(-0.1455) q[1];
rx(0.3003) q[2];
rz(-0.0023) q[2];
rx(0.0012) q[3];
rz(0.1672) q[3];
rx(0.289) q[4];
rz(0.1348) q[4];
rx(0.2833) q[5];
rz(0.1593) q[5];
rx(0.2991) q[6];
rz(-0.0026) q[6];
rx(-0.0177) 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": []} |
-5844117089307843228 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 3], [0, 1], [1, 4], [1, 5]]} | {"states": [39, 43], "expectation_value": -2.2479572546498567, "params": null, "bitstrings": ["011000", "010100"], "total_optimization_steps": 35, "probabilities": [0.05726674091693909, 0.82596360296828], "optimization_time": 27.7145893573761} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"]} | 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[5], q[1];
cry(-1.0342) q[2], q[3];
ry(1.3762) q[0];
cry(-0.7081) q[4], q[1];
ry(1.0162) q[5];
cry(1.1525) q[5], q[4];
ry(-0.5) q[1];
cry(-0.5042) q[0], q[3];
ry(1.1464) q[2];
ry(-0.4336) q[3];
cry(... | 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[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
eae6e1843b1a1da722a560d42ddc605e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "so... | {"states": [3714, 3650], "expectation_value": -49.13877364323835, "params": [[[0.3496, -0.4984, 0.0054, 0.009000000000000001], [0.0019, -0.6558, 1.0798, 0.0438], [0.5467000000000001, 0.054900000000000004, -0.0627, -0.0373], [-0.4181, 0.066, 1.3084, 0.015300000000000001], [-0.1458, -0.1365, 0.1592, 0.1078], [-0.00420000... | 0.5 * (Z(9) @ Z(13)) + 2.0 * (Z(14) @ Z(13)) + 1.0 * (Z(14) @ Z(9)) + 0.5 * (Z(10) @ Z(13)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(10)) + -1.0 * (Z(4) @ Z(13)) + -2.0 * (Z(4) @ Z(9)) + -2.0 * (Z(4) @ Z(14)) + -2.0 * (Z(4) ... | 11 | 15 | 3 | {"smallest_eigenvalues": [-50.299999999998825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.49999999999735, "smallest_bitstrings": ["111000110111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.3496) q[0];
rz(-0.4984) q[0];
ry(0.0019) q[1];
rz(-0.6558) q[1];
ry(0.5467) q[2];
rz(0.0549) q[2];
ry(-0.4181) q[3];
rz(0.066) q[3];
ry(-0.1458) q[4];
rz(-0.1365) q[4];
ry(-0.0042) q[5];
rz(0.3653) q[5];
ry(0.3854) q[6];
rz(0.132) q[6];
ry(0.0376) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 10.77306604385376} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[0];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[1];
cry(0.2489) q[2], q[4];
cry(-0.1488) q[2], q[1];
cry(0.118)... | 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(-1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
1103320732558873209 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 11, 6], [8, 10], [8, 11, 7], [0, 4, 5], [1, 10, 4, 7], [6, 7], [9, 3], [2, 10, 11], [1, 5, 7], [2, 5], [1, 10, 3], [0, 2, 6], [8, 1], [0, 1, 4, 7], [3, 2, 11], [0, 2, 11], [0, 9], [0, 1, 5, 6], [0, 10, 6], [0, 8, 5], [8, 2, 3, 7], [10, 3, 5, 6]]} | {"states": [3858, 3411], "expectation_value": -1.4303092292924267, "params": [[0.18080000000000002], [-0.1867]], "bitstrings": ["000011101101", "001010101100"], "total_optimization_steps": 20, "probabilities": [0.0007593245456639017, 0.0007697900755387398], "optimization_time": 39.76218938827515} | 0.3333333333333333 * (Z(1) @ Z(10)) + 0.25 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(11)) + 0.08333333333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.749999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.249999999999998, "smallest_bitstrings": ["001010101100"]} | 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[10], q[1];
rz(0.1205) q[1];
cx q[10], q[1];
cx q[10], q[11];
rz(0.0904) q[11];
cx q[10], q[11];
cx q[1], q[11];
rz(0.0301) q[11];
cx q[1], q[11];
cx q[10],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
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": [121, 109], "expectation_value": -13.931695708190414, "params": [[-0.0262, -0.031900000000000005, 0.009600000000000001], [0.0415, 0.0694, 0.038900000000000004]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01251061687147438, 0.014165388137237722], "optimization... | 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 | 3 | {"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(-0.2358) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.2358) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(-0.2358) q[5];
cx q[4], q[5];
cx q[0], q[2];
rz(-0.2358) 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] 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": []} |
c196f6ccfe3c25253f54e5e06b84f3b8 | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.21879097621253038, "params": [[0.2597], [-0.2515]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.527858586416782e-05, 3.527858586416782e-05], "optimization_time": 14.977709770202637} | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0005208333333333333 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0005208333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0201388888888565], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0201388888888165, "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(0.1298) 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 11.593754529953003} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[5];
ry(-1.57) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
cry(0.7632) q[5], q[0];
cry(-0.7635) q[1], q[0];
cry(-0.0027) q[5], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = me... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
fd56f218638d977dedda8f316e8ac831 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6},... | {"states": [1999, 2047], "expectation_value": -14.124783505110676, "params": null, "bitstrings": ["00000110000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.1074626999896595, 0.33083276113011073], "optimization_time": 178.50724005699158} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["00000000000", "00110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[8], q[9];
cry(1.5708) q[9], q[10];
cry(1.2391) q[10], q[8];
cry(1.5708) q[9], q[7];
cry(-0.7997) q[7], q[9];
ry(-0.1352) q[9];
cry(0.1818) q[10], q[9];
cry... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[8], 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[... |
081a3ef2a02910794db9cb14b9d27e2c | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 6], "expectation_value": -0.18659082891830409, "params": [[-0.0609, -0.0574], [0.0758, 0.0721]], "bitstrings": ["10110", "11001"], "total_optimization_steps": 10, "probabilities": [0.037003904542616206, 0.03700390454261623], "optimization_time": 1.469766616821289} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0609) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0609) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(-0.0609) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.0609) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.0609) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];... | null | {"circuits": [], "gradients": []} |
a2b703670d19247f6071de624d813f7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [43, 41], "expectation_value": -0.2340038755515595, "params": [[-0.056], [0.0683]], "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 10, "probabilities": [0.008698804042841674, 0.008731307016623644], "optimization_time": 2.6214253902435303} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"]} | 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(-0.056) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.056) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.056) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(-0.056) q[6];
cx q[0], q[6];
cx q[2], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -1.4718147094352259, "params": [[0.0669, 0.06910000000000001, 0.0616, 0.056], [-0.061200000000000004, -0.0716, -0.0629, -0.0575]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.020940953712151062, 0.021844557709736413], "optimization_... | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1100000", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0669) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.1338) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.0335) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(-0.0669) q[5];
cx q[3], q[5];
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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5068486278305057179 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 4, 5, 7], [0, 2, 3, 4, 6, 7], [0, 3, 5, 6, 7], [1, 2, 3, 4, 6, 7]]} | {"states": [63, 55], "expectation_value": -0.6541030978700719, "params": null, "bitstrings": ["11000000", "11001000"], "total_optimization_steps": 61, "probabilities": [0.09628969238647013, 0.12731100078887497], "optimization_time": 117.14506125450134} | 0.08333333333333334 * (Z(1) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.1 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) + 0.16666666666666669 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(1)) + 0.11666666666666667 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -0.8, "smallest_bitst... | 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(1.2883) q[7];
ry(0.9021) q[3];
cry(0.421) q[7], q[3];
cry(0.1729) q[3], q[7];
ry(0.1908) q[6];
cry(-0.1867) q[6], q[0];
cry(0.2082) q[7], q[6];
cry(-0.189) q[4], q[1];
cry(0.1831) q[3], q[6];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2883) 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[... |
5012989909338209192 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 1, 3], [8, 2], [3, 4, 7], [2, 3, 4], [1, 2], [2, 6, 7], [8, 0, 4], [0, 3, 6], [8, 3, 6], [2, 3, 5], [5, 6], [1, 6], [0, 2, 4], [4, 5], [8, 1, 3], [0, 2, 6]]} | {"states": [374, 118], "expectation_value": -4.68844524557549, "params": [1.1793, 0.007500000000000001, 0.9235000000000001, 0.0078000000000000005, 0.5482, -0.0023, -0.0079, 0.0041, 1.3934, -0.004200000000000001, 1.3912, 0.007500000000000001, 1.3982, -0.0031000000000000003, 1.3921000000000001, 0.005200000000000001, 1.38... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1793) q[0];
rz(0.0075) q[0];
rx(0.5482) q[1];
rz(-0.0023) q[1];
rx(1.3934) q[2];
rz(-0.0042) q[2];
rx(1.3982) q[3];
rz(-0.0031) q[3];
rx(1.389) q[4];
rz(0.0026) q[4];
rx(0.7402) q[5];
rz(0.0015) q[5];
rx(1.3906) q[6];
rz(-0.0002) q[6];
rx(1.3983) 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": []} |
bd53e0f03f0d19af6cb39bf47cf396d2 | 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": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -1.1180165591228604, "params": [[-0.0623, -0.0529], [0.06330000000000001, 0.0645]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01326470420743156, 0.014068555416823916], "optimization_time": 3.632075309753418} | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"]} | 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(0.0935) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.1246) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0623) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(0.1869) q[4];
cx q[1], q[4];
cx q[5], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9f43fe75b2280c840369a5d99b502e49 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 14], "expectation_value": -0.09176343665287716, "params": [[-0.0415], [0.0476]], "bitstrings": ["1001101", "1110001"], "total_optimization_steps": 10, "probabilities": [0.008219577964755623, 0.008280733582074876], "optimization_time": 1.5104167461395264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0415) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0415) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0415) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0415) q[5];
cx q[0], q[5];
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;
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[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
1121099051364864054 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 4, 5], [8, 2], [1, 4, 5], [0, 2, 5, 7], [0, 4, 5, 7], [1, 7], [9, 4], [8, 3], [9, 3], [3, 4, 5], [0, 4, 6], [8, 1], [8, 5, 6, 7], [4, 5, 6, 7], [0, 9, 5, 7], [1, 2, 4], [9, 1, 6], [0, 2, 6, 7]]} | {"states": [1020, 984], "expectation_value": -1.152194946669682, "params": [0.7973, -0.0005, 0.8014, 0.0002, 0.8032, 0.0004, 0.8013, 0.0077, 0.803, 0.0041, 0.7928000000000001, 0.0015, 0.8031, 0.0019, 0.8045, 0.0079, 0.8077000000000001, 0.0031000000000000003, 0.8011, 0.0071, 0.8043, -0.0015, 0.7975, 0.003, 0.80580000000... | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.6666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.25 * (Z(0) @ Z(4)) + 0.166... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.916666666666668, "smallest_bitstrings": ["0000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7973) q[0];
rz(-0.0005) q[0];
rx(0.8032) q[1];
rz(0.0004) q[1];
rx(0.803) q[2];
rz(0.0041) q[2];
rx(0.8031) q[3];
rz(0.0019) q[3];
rx(0.8077) q[4];
rz(0.0031) q[4];
rx(0.8043) q[5];
rz(-0.0015) q[5];
rx(0.8058) q[6];
rz(-0.0023) q[6];
rx(0.7979) 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": []} |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [84, 22], "expectation_value": -3.989065418603672, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 28, "probabilities": [0.06023650841909519, 0.8645372942717928], "optimization_time": 27.06254243850708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101001", "1011001", "1100110", "0101011", "1100101", "0100111"]} | 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[6];
ry(1.4449) q[2];
cry(-1.0343) q[5], q[0];
cry(-1.0342) q[4], q[3];
ry(0.7003) q[5];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[5];
ry(-0.4549) q[3];
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[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", ... |
2420526458700608399 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 3], [2, 5], [0, 3], [0, 4], [3, 5]]} | {"states": [49, 57], "expectation_value": -1.882490258821845, "params": null, "bitstrings": ["001110", "000110"], "total_optimization_steps": 40, "probabilities": [0.14530540540750425, 0.6483460791151621], "optimization_time": 33.29862594604492} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.0, "smallest_bitstrings": ["001100", "001110", "101100", "110001", "110011", "000111", "000110", "010011", "111001", "111000"]} | 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[5], q[3];
cry(-1.0342) q[2], q[4];
ry(1.3762) q[0];
cry(-0.7081) q[1], q[3];
ry(1.0162) q[5];
cry(1.1525) q[5], q[1];
ry(-0.5) q[3];
cry(-0.5042) q[0], q[4];
cry(0.3922) q[1], q[5];
ry(0.2874) q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [238, 350], "expectation_value": -1.7892634798676452, "params": [[-0.0751, -0.0722, -0.063], [0.0746, 0.07590000000000001, 0.0708]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.00512957029087219, 0.005129570290872193], "optimization_time": 9.252303123474121} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0751) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0751) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0751) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0751) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -1.6690980925199472, "params": [[[0.4718, -0.3291], [0.7006, -0.164], [0.47340000000000004, -0.3292], [0.9908, -0.0021000000000000003], [0.9959, 0.0018000000000000002], [0.9969, 0.0019]], [[0.47690000000000005, 0.0047], [0.7088, 0.006], [0.4743, 0.0004], [0.9917, 0.0012000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4718) q[0];
rz(-0.3291) q[0];
rx(0.7006) q[1];
rz(-0.164) q[1];
rx(0.4734) q[2];
rz(-0.3292) q[2];
rx(0.9908) q[3];
rz(-0.0021) q[3];
rx(0.9959) q[4];
rz(0.0018) q[4];
rx(0.9969) q[5];
rz(0.0019) q[5];
rx(0.4769) q[0];
rz(0.0047) q[0];
rx(0.7088) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
86ce82fb4aa0a4d560b88fd684f33bf2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 9}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [586, 590], "expectation_value": -6.0186414718468155, "params": [[1.5722, -0.0027, 0.0031000000000000003, 2.4097, 0.1562, 0.0023, 1.5681, -0.0027, 1.5726, 0.0027], [1.5638, -0.002, -0.0031000000000000003, 0.7279, 0.1169, -0.0023, 1.5682, 1.6139000000000001, 1.5633000000000001, -0.0027]], "bitstrings": ["0110... | 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * Z(9) + 0.0 * Z(0) + -1.0 * ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001011101", "0110110001", "0110100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5722) q[0];
ry(-0.0027) q[1];
ry(0.0031) q[2];
ry(2.4097) q[3];
ry(0.1562) q[4];
ry(0.0023) q[5];
ry(1.5681) q[6];
ry(-0.0027) q[7];
ry(1.5726) q[8];
ry(0.0027) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
2245143298754336995 | hypermaxcut | qaoa | {"nodes": [0, 1, 2], "hyperedges": [[0, 1], [1, 2]]} | {"states": [2, 5], "expectation_value": -0.013723454297622423, "params": [[0.06720000000000001], [-0.051500000000000004]], "bitstrings": ["101", "010"], "total_optimization_steps": 10, "probabilities": [0.12843682528179212, 0.12843682528179212], "optimization_time": 0.8642611503601074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["101", "010"]} | 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(0.0672) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0672) q[2];
cx q[1], q[2];
rz(0) q[1];
rz(0) q[0];
rz(0) q[2];
h q[0];
rz(-0.103) q[0];
h q[0];
h q[1];
rz(-0.103) q[1];
h q[1];
h q[2];
rz(-0.103) q[2];
h q[2];
c[0] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[2];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h... | null | {"circuits": [], "gradients": []} |
fbd951d8e0967f93aa199e767c7a8404 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [71, 69], "expectation_value": -0.499584244629727, "params": [[-0.0234, -0.07150000000000001], [0.0097, 0.0627]], "bitstrings": ["0111000", "0111010"], "total_optimization_steps": 10, "probabilities": [0.009419556565443783, 0.009523866173778912], "optimization_time": 3.60785174369812} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111010", "0111001"]} | 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(-0.0234) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0234) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0234) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0234) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
9313084cc492e2aab2fbf1a94b6f25bf | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [89, 93], "expectation_value": -4.97622261961587, "params": null, "bitstrings": ["10100110", "10100010"], "total_optimization_steps": 39, "probabilities": [0.4302002645041209, 0.431547027177787], "optimization_time": 39.66481614112854} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10100000", "10100010", "10110110", "10100110"]} | 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(1.5706) q[4];
cry(1.5681) q[4], q[1];
cry(-1.5158) q[7], q[0];
ry(1.1269) q[7];
cry(-1.5157) q[1], q[2];
cry(-0.5838) q[4], q[0];
cry(0.3276) q[1], q[7];
cry(1.0536) q[4], q[3];
ry(-1.0332) q[6... | 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(1.5706) 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[... |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [126, 1], "expectation_value": -1.144662587193774, "params": [[-0.0204, -0.0374, -0.0568], [0.0039000000000000003, 0.034, 0.0589]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012690658082232627, 0.01470167058387103], "optimization_time": 5.384442329406738} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0306) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0102) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0306) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.051) q[5];
cx q[0], q[5];
cx q[0], q[6];
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": 6} | {"circuits": [], "gradients": []} |
da6f888553e0928bf84cb7c24eceee80 | 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": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [0, 127], "expectation_value": -1.644370633701279, "params": [[0.0391, 0.0603, 0.06960000000000001, 0.0804], [-0.0056, -0.0302, -0.047400000000000005, -0.06520000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009756591709393372, 0.010016201871431738],... | -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(... | 1 | 8 | 4 | {"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;
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[5], q[0];
rz(-0.0196) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0587) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.0391) q[2];
cx q[1], q[2];
cx q[2], q[4];
rz(-0.0587) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-3377230158569737351 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 2], [0, 2, 3], [1, 2, 3]]} | {"states": [15, 13], "expectation_value": -0.5045278720823608, "params": [[[2.6401000000000003, 0.005200000000000001], [2.6295, 0.007200000000000001], [1.5377, 0.0054], [2.6367000000000003, 0.0011]]], "bitstrings": ["0000", "0010"], "total_optimization_steps": 270, "probabilities": [0.39810915820559306, 0.4253420405593... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * Z(1) + 0.3333333333333333 * Z(0) + 0.5 * Z(2) + 0.3333333333333333 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(2.6401) q[0];
rz(0.0052) q[0];
rx(2.6295) q[1];
rz(0.0072) q[1];
rx(1.5377) q[2];
rz(0.0054) q[2];
rx(2.6367) q[3];
rz(0.0011) q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | null | {"circuits": [], "gradients": []} |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | 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": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.30553145573208, "params": [0.0033, 0.0085, 0.0025, 0.0097, 0.0026000000000000003, 0.0001, 0.0025, 0.0027, 0.0027, 0.0023, 0.0026000000000000003, 0.008400000000000001, 0.0024000000000000002, 0.0056, 0.0024000000000000002, 0.0043, 0.0028, 0.8528, 1.6079, 0.0008, 0.0007, -0.00310... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0033) q[0];
rz(0.0085) q[0];
rx(0.0025) q[1];
rz(0.0097) q[1];
rx(0.0026) q[2];
rz(0.0001) q[2];
rx(0.0025) q[3];
rz(0.0027) q[3];
rx(0.0027) q[4];
rz(0.0023) q[4];
rx(0.0026) q[5];
rz(0.0084) q[5];
rx(0.0024) q[6];
rz(0.0056) q[6];
rx(0.0024) 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": 9} | {"circuits": [], "gradients": []} |
a6da0588e4f06076b5c2f06ef98c16c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [22, 23], "expectation_value": -2.751938188929623, "params": [[[-0.0021000000000000003, 1.0167000000000002, 0.0048000000000000004, 0.0041], [0.002, 0.9294, 1.4997, 0.008400000000000001], [1.5725, -0.0016, -1.5691000000000002, 0.004], [1.5772000000000002, -0.002, 1.5758, 0.0092], [0.3563, 0.001800000000000000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + -0.25 *... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10101100", "10110001", "11011000", "11010001", "11101000", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0021) q[0];
rz(1.0167) q[0];
ry(0.002) q[1];
rz(0.9294) q[1];
ry(1.5725) q[2];
rz(-0.0016) q[2];
ry(1.5772) q[3];
rz(-0.002) q[3];
ry(0.3563) q[4];
rz(0.0018) q[4];
ry(0.0049) q[5];
rz(0.4693) q[5];
ry(1.5759) q[6];
rz(0.0019) q[6];
ry(1.6278) 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": []} |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [0, 9], "expectation_value": -8.030659308519578, "params": [0.003, 1.1528, 0.0029000000000000002, 0.0007, 0.002, 1.8772, -0.0023, 0.0077, 0.0021000000000000003, 1.8518000000000001, -0.0024000000000000002, 0.0043, 0.0025, 1.6185, -0.0024000000000000002, 0.007500000000000001, 0.9723, 2.8927, -0.7743, 0.0039000... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 6 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.003) q[0];
rz(1.1528) q[0];
rx(0.002) q[1];
rz(1.8772) q[1];
rx(0.0021) q[2];
rz(1.8518) q[2];
rx(0.0025) q[3];
rz(1.6185) q[3];
rx(0.9723) q[4];
rz(2.8927) q[4];
rx(-0.0033) q[5];
rz(2.1822) q[5];
rx(0.0026) q[6];
rz(1.4991) q[6];
rx(1.0428) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-1937131280463688888 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 6], [9, 5], [0, 1, 2, 3, 5, 8], [3, 4, 7, 10, 11], [0, 1, 4, 7, 8, 11], [10, 6], [9, 11], [8, 10, 3, 5], [0, 2, 3, 4, 6, 9], [0, 6, 7], [1, 10, 11, 5], [0, 3, 5, 7, 8, 11], [9, 7], [0, 1, 2, 3, 8, 9, 10], [0, 2, 5, 7, 8, 10, 11], [0, 1, 4, 7, 8, 10]]} | {"states": [4081, 2033], "expectation_value": -4.352280779823316, "params": [2.9765, -0.8142, 2.1365000000000003, -0.0024000000000000002, 2.1853000000000002, -0.0026000000000000003, 2.395, -0.0028, 2.5957000000000003, -0.003, 2.7435, 0.0021000000000000003, 2.9936000000000003, -0.003, 3.1444, -0.0035, -0.0028, 0.8102, 0... | 0.5 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(9) @ Z(6)) + 0.023809523809523808 * (Z(9) @ Z(8)) + 0.1738095238095238 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.19999999999999998 * (Z(0) @ Z(6)) + 0.18095238095238095 * (Z(0) @ Z(8)) + 0.05714285714285714 * (Z(0) @ Z(9)) + 0.09047619047619047 * (Z(0) @ Z(5)) + 0.12380952... | 4 | 12 | 1 | {"smallest_eigenvalues": [-4.492857142857142], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.476190476190475, "smallest_bitstrings": ["100000001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.9765) q[0];
rz(-0.8142) q[0];
rx(2.1365) q[1];
rz(-0.0024) q[1];
rx(2.1853) q[2];
rz(-0.0026) q[2];
rx(2.395) q[3];
rz(-0.0028) q[3];
rx(2.5957) q[4];
rz(-0.003) q[4];
rx(2.7435) q[5];
rz(0.0021) q[5];
rx(2.9936) q[6];
rz(-0.003) q[6];
rx(3.1444) 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": []} |
803276a777b6ec2f65b92e64949dd4f0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [143, 135], "expectation_value": -17.803336340078705, "params": null, "bitstrings": ["1101110000", "1101111000"], "total_optimization_steps": 100, "probabilities": [0.18182573394383436, 0.19289553944911295], "optimization_time": 194.83759140968323} | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
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(1.5708) q[6], q[0];
ry(-1.57) q[5];
ry(-1.2796) q[3];
ry(-0.6009) q[6];
cry(-0.9466) q[0], q[6];
ry(-1.0128) q[1];
ry(-2.0739) q[0];
ry(-0.4197) q[4];
cry(-1.1511) q[9], q[4]... | null | {"node": 3} | {"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(1.5708) q[6], 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] = measu... |
e33d6f1fc62bdc37a895a648cbf909d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.00420383773097, "params": [-0.9206000000000001, -0.8678, -0.0024000000000000002, -0.0024000000000000002, -0.0023, -0.0022, -0.0021000000000000003, -0.0025, -0.0073, 0.0024000000000000002, -0.0027, -0.0026000000000000003, -0.0054, -0.00030000000000000003, -1.6598000000000002... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 14 | 7 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.9206) q[0];
ry(-0.0024) q[1];
ry(-0.0023) q[2];
ry(-0.0021) q[3];
ry(-0.0073) q[4];
ry(-0.0027) q[5];
ry(-0.0054) q[6];
crx(-1.6598) q[6], q[0];
crx(2.4158) q[5], q[6];
crx(-0.0009) q[4], q[5];
crx(-2.1214) q[3], q[4];
crx(2.346) q[2], q[3];
crx(2.3921) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
-1756150488099078676 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 8, 6], [8, 5], [3, 5], [8, 1], [0, 1], [3, 6, 7], [0, 4, 7], [8, 2, 4], [1, 5, 7], [1, 3]]} | {"states": [291, 355], "expectation_value": -0.01515126941103468, "params": [[-0.0322], [0.025500000000000002]], "bitstrings": ["011011100", "010011100"], "total_optimization_steps": 10, "probabilities": [0.0020035050818153063, 0.0020057276807660717], "optimization_time": 7.635042905807495} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["010011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(-0.0322) q[0];
cx q[5], q[0];
cx q[5], q[8];
rz(-0.0322) q[8];
cx q[5], q[8];
cx q[0], q[8];
rz(-0.0107) q[8];
cx q[0], q[8];
cx q[0], q[6];
rz(-0.0107) q[6];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[0], q[8];
rz(x1) ... | null | {"circuits": [], "gradients": []} |
-6344998954620906062 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 5], [3, 4], [2, 4], [1, 3], [0, 4], [0, 2]]} | {"states": [26, 37], "expectation_value": -0.04360479609786677, "params": [[-0.054900000000000004], [0.0673]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.016552929398939174, 0.016552929398939174], "optimization_time": 0.42788195610046387} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["110011", "100101", "010011", "101100", "001100", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.0549) q[2];
cx q[5], q[2];
cx q[2], q[4];
rz(-0.0549) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.0549) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(-0.0549) q[1];
cx q[3], q[1];
cx q[2], q[0];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
887595949ae6925e33a681a58519a274 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [15642, 15674], "expectation_value": -47.109138475064825, "params": [0.1738, 0.3912, 0.1816, 0.4017, 0.9824, 0.1468, 0.7855000000000001, 0.0059, 0.7843, 0.0017000000000000001, 0.5141, 0.0056, -0.006200000000000001, 0.7524000000000001, 0.7852, 0.0049, 0.0034000000000000002, 0.7399, 0.0015, 0.6852, 0.411900000... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 16 | 16 | 4 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.1738) q[0];
rz(0.3912) q[0];
rx(0.1816) q[1];
rz(0.4017) q[1];
rx(0.9824) q[2];
rz(0.1468) q[2];
rx(0.7855) q[3];
rz(0.0059) q[3];
rx(0.7843) q[4];
rz(0.0017) q[4];
rx(0.5141) q[5];
rz(0.0056) q[5];
rx(-0.0062) q[6];
rz(0.7524) q[6];
rx(0.7852) 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [255, 239], "expectation_value": -14.377317109718112, "params": [[-0.0942, 0.022500000000000003], [0.129, 0.1539]], "bitstrings": ["00000000", "00010000"], "total_optimization_steps": 20, "probabilities": [0.01846633690171163, 0.018737078221417396], "optimization_time": 3.637453317642212} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | 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[5], q[4];
rz(-0.0942) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.1884) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(-0.1884) q[6];
cx q[4], q[6];
cx q[5], q[7];
rz(-0.2826) q[7];
cx q[5], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 19, "source": 1, "target": 3}, {"weight": 6... | {"states": [183, 118], "expectation_value": -33.950966076078274, "params": [[-0.0284, -0.013800000000000002, -0.002, 0.0162], [0.05, 0.058100000000000006, 0.0698, 0.0712]], "bitstrings": ["01001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01871041215864762, 0.01996264176915709], "optimization_... | 3.5 * (Z(0) @ 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(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1988) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1988) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.1988) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.1988) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
cd9ed43dca2281b8ed4505f89be4ca33 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [84, 92], "expectation_value": -3.2900303126485833, "params": [[[0.0026000000000000003, 0.0029000000000000002, 0.004, 0.0097], [1.0472000000000001, 0.0027, 1.0516, 0.006], [0.0021000000000000003, 0.0079, 0.0004, 0.001], [1.0487, -0.0027, 1.0508, 0.008], [1.5982, 0.0056, 0.0063, 0.005200000000000001], [0.3821... | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 12 | 8 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10100011", "11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0026) q[0];
rz(0.0029) q[0];
ry(1.0472) q[1];
rz(0.0027) q[1];
ry(0.0021) q[2];
rz(0.0079) q[2];
ry(1.0487) q[3];
rz(-0.0027) q[3];
ry(1.5982) q[4];
rz(0.0056) q[4];
ry(0.3821) q[5];
rz(0.0113) q[5];
ry(0.0029) q[6];
rz(0.0013) q[6];
ry(0.0025) 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": []} |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [1945, 1689], "expectation_value": -0.13334805320778143, "params": [0.2189, 0.22210000000000002, 0.3047, 0.309, 0.2736, 0.27640000000000003, 0.2531, 0.2549, 0.2901, 0.2932, 0.25980000000000003, 0.2656, 0.18510000000000001, 0.1855, 0.3274, 0.3285, 0.2853, 0.2904, 0.2687, 0.274, 0.20770000000000002, 0.2015, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0010204081... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.514795918367347, -1.514795918367347], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["011010011001", "100101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2189) q[0];
ry(0.3047) q[1];
ry(0.2736) q[2];
ry(0.2531) q[3];
ry(0.2901) q[4];
ry(0.2598) q[5];
ry(0.1851) q[6];
ry(0.3274) q[7];
ry(0.2853) q[8];
ry(0.2687) q[9];
ry(0.2077) q[10];
ry(0.3105) q[11];
crz(-0.1877) q[11], q[0];
crz(-0.1694) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b1b59d51af8d5ffde35a550fbcfeb6e8 | 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": [485, 229], "expectation_value": -84.95128257425233, "params": [0.0067, 0.3549, 0.0032, 0.4605, -0.0012000000000000001, -0.3045, 0.3804, 0.1396, 0.6032000000000001, 0.0047, 0.6027, -0.0008, 0.6047, 0.08900000000000001, 0.3841, 0.167, -0.0046, 0.2807, 0.5966, 0.1033, 0.2705, 0.2114, 0.6032000000000001, 0.1853... | 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(0) @ Z(11)) + 15.0 * Z(5) + 17.5 * Z(4) + 4.5 * Z(3) + 6.5 * Z(6) + -5.0 * Z(2) + 5.0 * Z(7) + -3.5 * Z(8) + 10... | 18 | 12 | 4 | {"smallest_eigenvalues": [-130.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["111100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0067) q[0];
rz(0.3549) q[0];
rx(0.0032) q[1];
rz(0.4605) q[1];
rx(-0.0012) q[2];
rz(-0.3045) q[2];
rx(0.3804) q[3];
rz(0.1396) q[3];
rx(0.6032) q[4];
rz(0.0047) q[4];
rx(0.6027) q[5];
rz(-0.0008) q[5];
rx(0.6047) q[6];
rz(0.089) q[6];
rx(0.3841) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -0.03297321074842907, "params": [[0.030000000000000002, 0.0521], [-0.0196, -0.0383]], "bitstrings": ["011", "110"], "total_optimization_steps": 10, "probabilities": [0.1278047459055971, 0.12780474590559712], "optimization_time": 2.059030771255493} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.03) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.03) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.03) q[2];
cx q[0], q[2];
rz(-0.03) q[1];
rz(-0.03) q[0];
rz(-0.03) q[2];
h q[0];
rz(-0.0392) q[0];
h q[0];
h q[1];
rz(-0.0392)... | 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[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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx... | null | {"circuits": [], "gradients": []} |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -0.3891949954454109, "params": [[0.0309, 0.0766], [-0.002, -0.0594]], "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 10, "probabilities": [0.002715217345890755, 0.0027153903567063427], "optimization_time": 4.099185228347778} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["110101010", "110111110", "111111110", "111101010"]} | 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(-0.0309) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0309) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0309) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0309) 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [98, 35], "expectation_value": -3.007115587417791, "params": [[[1.5852000000000002, 0.0028], [1.6114000000000002, -0.0028], [0.1849, -0.0026000000000000003], [0.0017000000000000001, -0.0017000000000000001], [-0.1096, 0.1257], [0.6056, -0.5962000000000001], [1.5878, 1.5827]]], "bitstrings": ["0011101", "10111... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 15 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(1.5852) q[0];
ry(1.6114) q[1];
ry(0.1849) q[2];
ry(0.0017) q[3];
ry(-0.1096) q[4];
ry(0.6056) q[5];
ry(1.5878) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0028) q[0];
ry(-0.0028) 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": []} |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -1.251837019998385, "params": [[-0.053500000000000006], [0.065]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010705511350013542, 0.012092586643965567], "optimization_time": 2.1096556186676025} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.1605) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.107) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.107) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0535) q[4];
cx q[2], q[4];
cx q[0], q[4];
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] 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": []} |
88d08310cecbc7a3e83627c144340291 | 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": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [374, 1398], "expectation_value": -1.9232720627203501, "params": [0.27190000000000003, 0.2723, 0.1845, 0.1847, 0.3975, 0.39430000000000004, 0.1267, 0.1278, 0.39480000000000004, 0.39640000000000003, 0.2763, 0.2731, 0.3929, 0.3902, 0.19110000000000002, 0.1915, 0.4038, 0.40490000000000004, 0.3996, 0.3975, 0.005... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01010100001", "00110001001", "01000110001", "10000011001", "01010000011", "01010001001", "10010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.2719) q[0];
ry(0.1845) q[1];
ry(0.3975) q[2];
ry(0.1267) q[3];
ry(0.3948) q[4];
ry(0.2763) q[5];
ry(0.3929) q[6];
ry(0.1911) q[7];
ry(0.4038) q[8];
ry(0.3996) q[9];
ry(0.0059) q[10];
crx(0.133) q[10], q[0];
crx(-0.0002) q[9], q[10];
crx(0.1204) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | adaptive_vqe | {"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, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 11.11500072479248} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[4];
cry(-1.0343) q[1], q[3];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[1];
ry(0.7003) q[2];
ry(-0.4549) q[3];
ry(-0.4549) q[0];
cry(0.4578) q[2], q[1];
cry(0.4515) q[1], q[2];
cry(-0.3537) q[1], q[0];
cry(-0.34... | 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(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
497ee7bf44af41c8b30000bed1ee6591 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [80, 37], "expectation_value": -1.400061501345252, "params": [[-0.051800000000000006, -0.0538, -0.057300000000000004], [0.0698, 0.0618, 0.0601]], "bitstrings": ["0101111", "1011010"], "total_optimization_steps": 10, "probabilities": [0.012527920276060544, 0.013980277928003208], "optimization_time": 9.8242592... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0518) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0518) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0518) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
784a487c10203231b0c4f931332f9c04 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [111, 109], "expectation_value": -81.8486066024225, "params": [-0.002, -0.0001, 0.1854, 0.1736, 0.4974, 0.4923, 0.4793, 0.48910000000000003, 0.2597, 0.24300000000000002, 0.48900000000000005, 0.48900000000000005, 0.48050000000000004, 0.4731, 0.31980000000000003, 0.2791, 0.30970000000000003, 0.2918, -0.0044, 0... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(8)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.5 * Z(1) +... | 14 | 9 | 3 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.002) q[0];
ry(0.1854) q[1];
ry(0.4974) q[2];
ry(0.4793) q[3];
ry(0.2597) q[4];
ry(0.489) q[5];
ry(0.4805) q[6];
ry(0.3198) q[7];
ry(0.3097) q[8];
crx(-0.0087) q[8], q[0];
crx(-0.3273) q[7], q[8];
crx(-0.2481) q[6], q[7];
crx(0.0103) q[5], q[6];
crx(0.491... | 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] 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 flo... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23263, 23262], "expectation_value": -8.369851896897371, "params": [[[1.0449, 0.001], [0.3085, 0.48090000000000005], [0.9646, -0.0001], [1.0490000000000002, -0.0026000000000000003], [0.3131, -0.46430000000000005], [0.9580000000000001, -0.0031000000000000003], [0.3307, 0.4843], [1.0442, 0.0007], [1.0497, -0.0... | 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(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 15 | 3 | {"smallest_eigenvalues": [-9.49999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.49999999999998, "smallest_bitstrings": ["010010100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.0449) q[0];
rz(0.001) q[0];
rx(0.3085) q[1];
rz(0.4809) q[1];
rx(0.9646) q[2];
rz(-0.0001) q[2];
rx(1.049) q[3];
rz(-0.0026) q[3];
rx(0.3131) q[4];
rz(-0.4643) q[4];
rx(0.958) q[5];
rz(-0.0031) q[5];
rx(0.3307) q[6];
rz(0.4843) q[6];
rx(1.0442) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
4455946038764589490 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 5], [0, 2, 3, 4, 7, 8], [4, 5, 6], [0, 8, 1, 7], [0, 3, 5, 7], [1, 4, 6], [0, 8, 3, 6], [8, 2, 5, 6], [0, 1, 5, 6], [0, 2, 3, 6, 7], [0, 2, 3, 5], [2, 3, 4, 5, 7], [8, 1, 3, 6], [8, 1, 6, 7], [8, 4, 5, 7], [0, 1, 2, 6, 7]]} | {"states": [430, 238], "expectation_value": -3.5058313668688816, "params": null, "bitstrings": ["001010001", "100010001"], "total_optimization_steps": 54, "probabilities": [0.049256160503837416, 0.900205217500926], "optimization_time": 148.3252890110016} | 0.1 * (Z(1) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.566666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.383333333333333, "smallest_bitstrings": ["100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5703) q[6];
ry(1.5385) q[7];
ry(1.3989) q[3];
ry(0.8063) q[5];
cry(-0.901) q[5], q[4];
cry(0.4851) q[6], q[5];
cry(-0.9018) q[2], q[0];
cry(0.7326) q[6], q[1];
cry(-0.7058) q[1], q[0]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5703) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
9f16651ff069e7e4b10d7e6e3ea493cf | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -3.8754054609693416, "params": [[[-0.0044, 0.5737], [0.0027, 0.0038], [0.003, 0.0027], [0.0028, 0.0023], [1.3309, 0.0099], [-0.0056, 0.015700000000000002], [0.43810000000000004, -0.8280000000000001], [-0.0711, 0.0357]], [[0.0063, -0.0179], [-0.0004, 1.5768], [0.003, -0.0032],... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0044) q[0];
ry(0.0027) q[1];
ry(0.003) q[2];
ry(0.0028) q[3];
ry(1.3309) q[4];
ry(-0.0056) q[5];
ry(0.4381) q[6];
ry(-0.0711) 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];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-7725280652135298074 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 5], [2, 4], [1, 2, 5], [0, 2, 3], [0, 1], [0, 6], [2, 6, 7], [0, 4]]} | {"states": [95, 225], "expectation_value": -0.09015549617644747, "params": [[-0.0761], [0.0777]], "bitstrings": ["10100000", "00011110"], "total_optimization_steps": 10, "probabilities": [0.004388777236133345, 0.004424072874094103], "optimization_time": 2.5275216102600098} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666674, "smallest_bitstrings": ["00011110"]} | 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(-0.0761) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.0761) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(-0.0761) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0254) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx... | null | {"circuits": [], "gradients": []} |
014ae0712579d5c03abdea5dd80c049f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 3, "target":... | {"states": [0, 448], "expectation_value": -35.84162405662315, "params": [1.0097, 0.7616, -0.2086, -0.7148, 0.48260000000000003, -0.499, -0.0028, -0.002, 0.0002, -0.0051, -0.006, 0.0012000000000000001, -0.0025, -0.0025, -0.0046, -0.0002, 0.0035, -0.006, 2.3525, -0.0051, -1.7222000000000002, -0.0111, 1.4545000000000001, ... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -3.5 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(4) @ Z(5)) + 1.... | 14 | 9 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.0097) q[0];
ry(-0.2086) q[1];
ry(0.4826) q[2];
ry(-0.0028) q[3];
ry(0.0002) q[4];
ry(-0.006) q[5];
ry(-0.0025) q[6];
ry(-0.0046) q[7];
ry(0.0035) q[8];
crx(2.3525) q[8], q[0];
crx(0.0036) q[7], q[8];
crx(2.8119) q[6], q[7];
crx(0.0124) q[5], q[6];
crx(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
5575b19e97d5a5b0b45755000e82f544 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [119, 115], "expectation_value": -5.667457135484396, "params": [[-0.016900000000000002, 0.14600000000000002, 0.1381], [0.0692, -0.1302, -0.1391]], "bitstrings": ["110001000", "110001100"], "total_optimization_steps": 20, "probabilities": [0.01787387444601491, 0.02104462777315788], "optimization_time": 7.4041... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001000", "110001100"]} | 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(0.0254) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0254) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0169) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(0.0338) q[5];
cx q[1], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [5, 1], "expectation_value": -6.7499854908656385, "params": null, "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 22, "probabilities": [1.2625284362786262e-05, 0.999985546168183], "optimization_time": 24.753338098526} | -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 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.5486) q[0];
ry(1.5681) q[7];
ry(-1.4449) q[1];
ry(-1.4417) q[3];
ry(-1.5679) q[6];
ry(-1.4449) q[5];
cry(-0.1259) q[7], q[1];
cry(-0.129) q[7], q[3];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
16e531ebd5c4fa365456c9500ea8e716 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -4.926218041637984, "params": [0.2383, 0.15560000000000002, 0.27540000000000003, 0.1666, 0.2451, 0.1688, 0.24450000000000002, 0.1945, 0.4798, 0.10790000000000001, 0.42850000000000005, 0.1627, 0.4071, 0.1379, 0.23270000000000002, 0.1563, 0.2747, 0.1653, 0.2441, 0.1678, 0.2426, 0.1... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2383) q[0];
rz(0.1556) q[0];
rx(0.2754) q[1];
rz(0.1666) q[1];
rx(0.2451) q[2];
rz(0.1688) q[2];
rx(0.2445) q[3];
rz(0.1945) q[3];
rx(0.4798) q[4];
rz(0.1079) q[4];
rx(0.4285) q[5];
rz(0.1627) q[5];
rx(0.4071) q[6];
rz(0.1379) q[6];
crz(0.1643) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
-6342859833999755142 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1, 6, 7], [1, 5, 7], [0, 9, 4], [9, 11, 6, 7], [0, 4, 5, 6], [1, 10, 11, 6], [11, 5, 6], [10, 11, 5, 7], [11, 4, 7], [1, 10, 3, 5], [8, 9, 10, 1], [10, 11, 4, 5], [11, 2, 3], [3, 4, 5, 7], [8, 9, 2, 5], [2, 3, 4, 5], [8, 2, 3], [0, 3, 5, 6], [8, 9, 2,... | {"states": [1782, 1974], "expectation_value": -5.576795980053058, "params": [[[0.0039000000000000003, 0.0029000000000000002], [0.0021000000000000003, 3.1388000000000003], [-0.0016, -0.0029000000000000002], [1.5735000000000001, 1.5735000000000001], [-1.5674000000000001, 1.5681], [1.5727, 1.5689000000000002], [0.0022, 1.... | 0.25 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.41666666666666663 * (Z(5) @ Z(6)) + 0.4166666... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.416666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.333333333333333, "smallest_bitstrings": ["100001001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0039) q[0];
ry(0.0021) q[1];
ry(-0.0016) q[2];
ry(1.5735) q[3];
ry(-1.5674) q[4];
ry(1.5727) q[5];
ry(0.0022) q[6];
ry(3.1449) q[7];
ry(-0.0257) q[8];
ry(2.2159) q[9];
ry(2.3803) q[10];
ry(-0.0015) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
a1db39aee242137209fb2b5a9b5ff685 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -12.429775442457268, "params": [0.033100000000000004, -0.0755, -0.0037, 0.008700000000000001, 0.0011, 0.31420000000000003, 0.002, 0.31620000000000004, 0.399, 0.0019, 0.4076, 0.0015, -0.0051, 0.2833, 0.008400000000000001, 0.31320000000000003, -0.384, -0.0026000000000000003, -0.3... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(1) @ Z(9)) + -0.75 * (Z(5) @ Z(1)) + -1.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(9)) + -0.25 * (Z(10) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(8)) + -1.0 * (... | 6 | 11 | 2 | {"smallest_eigenvalues": [-14.5, -14.5, -14.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.5, "smallest_bitstrings": ["11010110011", "11011111111", "11010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0331) q[0];
rz(-0.0755) q[0];
rx(0.0011) q[1];
rz(0.3142) q[1];
rx(0.399) q[2];
rz(0.0019) q[2];
rx(-0.0051) q[3];
rz(0.2833) q[3];
rx(-0.384) q[4];
rz(-0.0026) q[4];
rx(0.011) q[5];
rz(0.2516) q[5];
rx(-0.0011) q[6];
rz(0.2324) q[6];
rx(0.0035) 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
2588d6bc234a2ebe9da283ea0a74ab37 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 133.3362054824829} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5626) q[4], q[5];
cry(1.5693) q[5], q[2];
ry(1.5571) q[1];
cry(1.5681) q[1], q[6];
cry(1.0742) q[2], q[4];
ry(0.449) q[5];
cry(1.5036) q[5], q[7];
cry(1.4448) q[6], q[3];
cry(-1.399) q[7], q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5626) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
aa66d191bc074c93fdf8690031573aaf | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [18, 146], "expectation_value": -7.221942981982003, "params": [0.38020000000000004, -0.0028, -0.011000000000000001, 0.0086, 0.8055, 0.0023, 0.7984, 0.001, 0.8038000000000001, 0.0007, 0.5915, 0.0026000000000000003, 0.3548, 0.0035, 0.2026, 0.005, 0.8111, -0.004200000000000001, 0.8038000000000001, 0.003, 0.8014... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.5, "smallest_bitstrings": ["101100111", "101101101", "101011101", "110101011", "110101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3802) q[0];
rz(-0.0028) q[0];
rx(0.8055) q[1];
rz(0.0023) q[1];
rx(0.8038) q[2];
rz(0.0007) q[2];
rx(0.3548) q[3];
rz(0.0035) q[3];
rx(0.8111) q[4];
rz(-0.0042) q[4];
rx(0.8014) q[5];
rz(0.0031) q[5];
rx(0.6835) q[6];
rz(0.0013) q[6];
rx(0.7988) 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": []} |
d2d287c9d8fe93d17ca3a641ed42fb94 | 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}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target":... | {"states": [64, 0], "expectation_value": -118.99922145737294, "params": [[[-0.0023, 0.0043], [-0.0021000000000000003, 0.0054], [-0.0007, 0.0], [0.0009000000000000001, 0.0017000000000000001], [-0.0019, 0.008400000000000001], [-0.0031000000000000003, 0.0012000000000000001], [0.0004, 0.0085], [-0.002, 0.0037], [-0.0024000... | -4.0 * (Z(0) @ Z(1)) + 2.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -4.0 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + -4.5 * (Z(7) @ Z(1)) + -4.5 * (Z(7) @ Z(0)) + -4.0 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(4)) + 1.... | 1 | 16 | 1 | {"smallest_eigenvalues": [-126.9999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.99999999999987, "smallest_bitstrings": ["1111111111111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(-0.0023) q[0];
rz(0.0043) q[0];
rx(-0.0021) q[1];
rz(0.0054) q[1];
rx(-0.0007) q[2];
rz(0) q[2];
rx(0.0009) q[3];
rz(0.0017) q[3];
rx(-0.0019) q[4];
rz(0.0084) q[4];
rx(-0.0031) q[5];
rz(0.0012) q[5];
rx(0.0004) q[6];
rz(0.0085) q[6];
rx(-0.002) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
da6f888553e0928bf84cb7c24eceee80 | 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": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.7219674453665126, "params": [[0.0611, 0.0707], [-0.0545, -0.052000000000000005]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0060521145106236926, 0.006248509413858561], "optimization_time": 3.0566213130950928} | -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(... | 1 | 8 | 2 | {"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;
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[5], q[0];
rz(-0.0306) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0917) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.0611) q[2];
cx q[1], q[2];
cx q[2], q[4];
rz(-0.0917) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
fadbf4becdcb820e45aa8c382a4bc97a | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [26026, 21930], "expectation_value": -1.7090944240828652, "params": null, "bitstrings": ["1001101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12406877059982709, 0.2667082470552578], "optimization_time": 943.3059549331665} | 0.25 * (Z(0) @ Z(1)) + -0.00038265306122448983 * (Z(2) @ Z(0)) + -0.00038265306122448983 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000510204081632653 * (Z(4) @ Z(0)) + -0.000510204081632653 * (Z(4) @ Z(2)) + -0.000510204081632653 * (Z(5) @ Z(1)) + -0.000510204081632653 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0210459183673266], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0210459183672738, "smallest_bitstrings": ["1010101001010101"]} | 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];
cry(-0.5937) q[10], q[11];
cry(-0.5939) q[8], q[9];
cry(-0.5938) q[12], q[13];
cry(-0.5942) q[14], q[15];
cry(-0.5937) q[3],... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] 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];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5937) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
74a9039e61abdfc370e0e9ccbda58085 | 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": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 19.20106029510498} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5158) q[3];
ry(-1.4449) q[1];
ry(-1.445) q[2];
ry(1.4417) q[0];
cry(-1.0398) q[4], q[5];
ry(0.7022) q[4];
ry(-0.4577) q[5];
cry(0.4969) q[0], q[4];
cry(-0.3761) q[0], q[5];
cry(-0.1216) q[0], q[1];
cry(-0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7649588842338433581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 6, 7], [8, 1, 3, 4], [1, 4, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 6, 7], [8, 2], [8, 5, 6], [8, 1, 6], [8, 1, 3, 5], [0, 2, 3, 4, 6], [4, 5], [1, 2, 3, 4, 7], [8, 4, 6], [0, 5, 7], [3, 5, 6]]} | {"states": [439, 311], "expectation_value": -1.3985976318744238, "params": [0.8963000000000001, 0.0022, 0.9013, 0.0051, 0.8957, -0.0022, 0.8918, 0.0085, 0.8929, -0.0453, 0.6887, 0.01, 0.9046000000000001, 0.002, 0.9028, 0.004, 0.8934000000000001, 0.006, 0.8935000000000001, 0.009600000000000001, 0.9011, -0.0054, 0.8951, ... | 0.26666666666666666 * (Z(3) @ Z(4)) + 0.43333333333333335 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666668, "smallest_bitstrings": ["011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8963) q[0];
rz(0.0022) q[0];
rx(0.8957) q[1];
rz(-0.0022) q[1];
rx(0.8929) q[2];
rz(-0.0453) q[2];
rx(0.9046) q[3];
rz(0.002) q[3];
rx(0.8934) q[4];
rz(0.006) q[4];
rx(0.9011) q[5];
rz(-0.0054) q[5];
rx(0.8961) q[6];
rz(0.0091) q[6];
rx(0.9055) 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": []} |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [1, 127], "expectation_value": -0.703294285515268, "params": [[-0.0838], [0.0787]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00562896636567283, 0.005726198138396907], "optimization_time": 2.809002637863159} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.1257) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0419) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.1257) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0419) q[5];
cx q[0], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [14, 77], "expectation_value": -2.879885350711258, "params": null, "bitstrings": ["1110001", "0110010"], "total_optimization_steps": 37, "probabilities": [0.06141251598943395, 0.8446750997103469], "optimization_time": 42.68958497047424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "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[1];
ry(-1.4449) q[2];
ry(1.2953) q[4];
cry(-1.2979) q[6], q[5];
ry(1.2918) q[3];
ry(0.7766) q[6];
ry(-0.6306) q[5];
cry(1.319) q[6], q[0];
cry(0.4655) q[4], q[6];
cry(-0.1259) q[4], q[2];
cr... | 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[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", ... |
b9131b0dfe5df734952a60af348be52d | 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}, {"bipartite":... | {"states": [125, 93], "expectation_value": -54.91691750107006, "params": [0.01, 0.5009, 1.0682, 0.0766, 0.4888, 0.3517, 1.0499, 0.0903, 0.6926, 0.12760000000000002, 1.0673000000000001, -0.0038, -0.0032, 0.7637, 1.0688, 0.0252, -0.0011, 0.46540000000000004, 1.0613000000000001, 0.0536, 0.48140000000000005, 0.3371, 1.0413... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(2) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 7.0 * Z(1) + -2.0 * Z(0) + 11.5 * Z(4) + 19.0 * Z(3) + 15.0 * Z(5) + 15.5 * Z(2) + 7.5 * Z(7) + -3.5... | 18 | 8 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.01) q[0];
rz(0.5009) q[0];
rx(1.0682) q[1];
rz(0.0766) q[1];
rx(0.4888) q[2];
rz(0.3517) q[2];
rx(1.0499) q[3];
rz(0.0903) q[3];
rx(0.6926) q[4];
rz(0.1276) q[4];
rx(1.0673) q[5];
rz(-0.0038) q[5];
rx(-0.0032) q[6];
rz(0.7637) q[6];
rx(1.0688) 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, 9]}"} | {"circuits": [], "gradients": []} |
9685ec147b3301b0cb81c8e06a7815e0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {"weight": 20, "sourc... | {"states": [237, 236], "expectation_value": -26.708658302235875, "params": [[-0.0252, -0.0012000000000000001], [0.0666, 0.0726]], "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.00568487981466891, 0.007283394099778303], "optimization_time": 3.6040947437286377} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.252) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.252) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.252) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.252) 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\": 9}"} | {"circuits": [], "gradients": []} |
17639781641b88f9ffa836608d3b637d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [70, 78], "expectation_value": -2.0659972998944225, "params": [0.1757, 0.1806, 0.3033, 0.2992, -0.0022, 0.0019, 0.1817, 0.18330000000000002, 0.2943, 0.30110000000000003, 0.2972, 0.2983, 0.2992, 0.3053, -0.0036000000000000003, -0.0013000000000000002, 0.1738, 0.17600000000000002, 0.3058, 0.3058, -0.00690000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 13 | 8 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10110001", "10101001", "01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.1757) q[0];
ry(0.3033) q[1];
ry(-0.0022) q[2];
ry(0.1817) q[3];
ry(0.2943) q[4];
ry(0.2972) q[5];
ry(0.2992) q[6];
ry(-0.0036) q[7];
crz(0.1929) q[7], q[0];
crz(0.0008) q[6], q[7];
crz(-0.0074) q[5], q[6];
crz(-0.0317) q[4], q[5];
crz(-0.0909) q[3], q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [13, 50], "expectation_value": -0.2838689837281734, "params": [[0.0779], [-0.0829]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.01797221232434612, 0.018915373489251864], "optimization_time": 1.1938118934631348} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0779) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0779) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0779) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.0779) q[5];
cx q[3], q[5];
cx q[2], q[1];
rz(0.0779... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
1656823104873287151 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 7], [1, 6], [3, 4], [0, 5], [0, 1], [3, 7], [4, 5], [1, 4], [5, 6], [4, 6], [0, 3], [0, 2], [2, 4]]} | {"states": [245, 116], "expectation_value": -4.26902107719548, "params": null, "bitstrings": ["00001010", "10001011"], "total_optimization_steps": 71, "probabilities": [0.05473838016609363, 0.8236772468065049], "optimization_time": 118.7513473033905} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110100", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[7], q[0];
ry(1.0293) q[3];
cry(1.4052) q[3], q[2];
cry(-0.9035) q[2], q[4];
cry(1.5176) q[2], q[5];
cry(-0.8573) q[2], q[0];
cry(1.5586) q[2], q[1];
cry(-1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
91fd701868951eab612ba86420778b2e | kclique | 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": 2, "target": 3}, {"source": ... | {"states": [2, 3], "expectation_value": -10.328342789472892, "params": [[[0.35900000000000004, 0.2315], [0.37020000000000003, 0.2285], [0.3709, 0.2278], [0.20020000000000002, -0.2921], [0.7965, 0.0001], [0.792, -0.0005]], [[0.3612, 0.0018000000000000002], [0.3704, 0.0002], [0.3739, 0.0], [0.20120000000000002, 0.0027], ... | 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)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 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;
rx(0.359) q[0];
rz(0.2315) q[0];
rx(0.3702) q[1];
rz(0.2285) q[1];
rx(0.3709) q[2];
rz(0.2278) q[2];
rx(0.2002) q[3];
rz(-0.2921) q[3];
rx(0.7965) q[4];
rz(0.0001) q[4];
rx(0.792) q[5];
rz(-0.0005) q[5];
rx(0.3612) q[0];
rz(0.0018) q[0];
rx(0.3704) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
4222214621519125051 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 4, 8, 11, 12], [9, 2, 6], [3, 7, 8, 9, 12], [2, 5, 10, 12, 13], [0, 2, 10, 12], [8, 10, 6], [8, 2, 4, 13], [9, 4], [0, 1, 3, 6, 12, 13], [13, 4, 12], [0, 2, 12, 6], [10, 11], [1, 2, 3, 9, 10], [0, 1, 5, 6, 7, 8], [9, 2, 11], [0, 2, 7, 8, 11, 1... | {"states": [7606, 8102], "expectation_value": -4.562558433970651, "params": null, "bitstrings": ["10001001001001", "10000001011001"], "total_optimization_steps": 100, "probabilities": [0.04697217763089041, 0.8260443365992115], "optimization_time": 3040.265744447708} | 0.13333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(8) @ Z(0)) + 0.08333333333333334 * (Z(11) @ Z(4)) + 0.08333333333333334 * (Z(11) @ Z(0)) + 0.11666666666666667 * (Z(11) @ Z(8)) + 0.21666666666666667 * (Z(12) @ Z(4)) + 0.25 * (Z(12) @ Z(0)) + 0.1 * (Z(12) @ Z(8)) + 0.0... | 7 | 14 | 1 | {"smallest_eigenvalues": [-4.716666666666587], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.616666666666609, "smallest_bitstrings": ["10000001011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] 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];
ry(1.57) q[2];
cry(1.5158) q[2], q[8];
cry(1.431) q[2], q[12];
cry(-1.0203) q[11], q[10];
ry(0.8204) q[11];
cry(-1.0807) q[4], q[9];
ry(0.7142... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] 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];\nh q[13];\nry(1.57) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4... |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 27], "expectation_value": -0.5537549905861726, "params": [[0.06670000000000001, 0.0689, 0.0614, 0.0558], [-0.061200000000000004, -0.07150000000000001, -0.06280000000000001, -0.0574]], "bitstrings": ["101001", "100100"], "total_optimization_steps": 10, "probabilities": [0.02647956779070304, 0.03104919405... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0667) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0667) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0667) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(0.0667) q[3];
cx q[2], q[3];
cx q[3], q[5];
rz(0.0667... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
8aba1fe819f1a606a1aaa6ea801e6056 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [133, 165], "expectation_value": -4.93945495801253, "params": [0.9095000000000001, 0.0012000000000000001, 0.9036000000000001, 0.006, 0.0034000000000000002, 0.5352, -0.0, 0.008700000000000001, 0.9034000000000001, 0.19410000000000002, 0.9003, 0.0053, -0.0017000000000000001, 0.5543, -0.0015, 0.0043, -0.00210000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9095) q[0];
rz(0.0012) q[0];
rx(0.0034) q[1];
rz(0.5352) q[1];
rx(0.9034) q[2];
rz(0.1941) q[2];
rx(-0.0017) q[3];
rz(0.5543) q[3];
rx(-0.0021) q[4];
rz(-0.5005) q[4];
rx(0.9034) q[5];
rz(0.1662) q[5];
rx(0.2274) q[6];
rz(-0.4759) q[6];
rx(0.9104) 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": []} |
7a09bb615dc1fdde1d903c08e99cd28d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6},... | {"states": [240, 2032], "expectation_value": -1.0113872273926636, "params": [[0.057600000000000005], [-0.046700000000000005]], "bitstrings": ["11100001111", "00000001111"], "total_optimization_steps": 10, "probabilities": [0.0007003818143463517, 0.0007207140728155191], "optimization_time": 3.12214994430542} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.1728) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1728) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1728) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.1728... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 10} | {"circuits": [], "gradients": []} |
d383895e715d7ed8a1ff50ded0fb8ad9 | 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": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -25.14017184277907, "params": [[[-0.0023, 1.5989], [0.0016, 0.0018000000000000002], [0.0019, 0.002], [0.002, 0.0018000000000000002], [0.0015, 0.0017000000000000001], [0.0029000000000000002, 0.0023], [0.0034000000000000002, -0.0031000000000000003], [0.0031000000000000003, 0.003... | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) +... | 15 | 12 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0023) q[0];
ry(0.0016) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(0.0015) q[4];
ry(0.0029) q[5];
ry(0.0034) q[6];
ry(0.0031) q[7];
ry(0.0028) q[8];
ry(0.0029) q[9];
ry(0.003) q[10];
ry(0.0021) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
4ece4570230fb980cfacc75e33d7742e | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "... | {"states": [0, 4095], "expectation_value": -51.660981341593114, "params": [[[0.0032, 1.6033000000000002], [0.0017000000000000001, 0.0015], [-0.0033, 0.0027], [0.0033, 0.003], [0.003, -0.0031000000000000003], [-0.0013000000000000002, 0.0025], [0.0034000000000000002, -0.0026000000000000003], [-0.0031000000000000003, 0.00... | -1.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -3.0 * (Z(7) @ Z(9)) + -3.5 * (Z(10) @ Z(9)) + -3.5 * (Z(10) @ Z(7)) + -3.0 * (Z(11) @ Z(9)) + -3.5 * (Z(11) @ Z(7)) + -4.0 * (Z(11) @ Z(10)) + 1.5 * (Z(4) @ Z(9)) + -3.5 * (Z(4) @ Z(7)) + -3.5 * (Z(4) @ Z(1... | 15 | 12 | 1 | {"smallest_eigenvalues": [-56.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0032) q[0];
ry(0.0017) q[1];
ry(-0.0033) q[2];
ry(0.0033) q[3];
ry(0.003) q[4];
ry(-0.0013) q[5];
ry(0.0034) q[6];
ry(-0.0031) q[7];
ry(0.0023) q[8];
ry(0.002) q[9];
ry(0.0021) q[10];
ry(0.0028) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 2} | {"circuits": [], "gradients": []} |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [36, 5], "expectation_value": -5.7496317662910466, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 20, "probabilities": [3.1555071643406036e-05, 0.999906214239704], "optimization_time": 11.765247583389282} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(1.5681) q[3];
ry(1.5486) q[5];
cry(-1.5706) q[5], q[0];
cry(-1.5486) q[5], q[2];
ry(-1.4447) q[4];
cry(-0.119) q[3], q[4];
cry(-0.0223) q[3], q[2];
cry(0.0112) q[3], q[5];
cry(-0.0002) q[3], ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
45a16483fc17cca61ace9bf5c51bc6d6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [122, 126], "expectation_value": -10.079178430715574, "params": null, "bitstrings": ["0000101", "0000001"], "total_optimization_steps": 86, "probabilities": [0.0699666421479491, 0.34579712439862714], "optimization_time": 161.6782991886139} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(5)) + -2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5708) q[3], q[4];
cry(1.5709) q[4], q[2];
cry(0.5729) q[2], q[5];
cry(1.2339) q[2], q[1];
cry(1.5709) q[5], q[0];
cry(0.1566) q[2], q[3];
ry(-0.2041) q[3];
cry(0.178) q[4], q[3];
cry(-0.0382) q[1], ... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
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