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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [64, 63], "expectation_value": -0.3071162656241312, "params": [[0.07100000000000001], [-0.0685]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009862686916647299, 0.010006158768472948], "optimization_time": 1.9560856819152832} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0355) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.213) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.1065) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(-0.0355) q[2];
cx q[1], q[2];
cx q[2], 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d030c61aecb3e0005b1eeeae4c1beaf6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": ... | {"states": [15, 783], "expectation_value": -12.85519039422625, "params": null, "bitstrings": ["1111110000", "0011110000"], "total_optimization_steps": 100, "probabilities": [0.09712129100844916, 0.47081594019344414], "optimization_time": 216.70089054107666} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(5) + -2.0 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5708) q[4];
cry(1.5706) q[9], q[8];
cry(1.5708) q[8], q[6];
cry(1.2306) q[6], q[9];
cry(0.4422) q[6], q[8];
cry(1.5705) q[8], q[7];
ry(-1.5681) q[3];
cry(1.5486) q[2], q[5]... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
717427729600501566 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [0, 1, 2, 3, 5, 6], [8, 0, 3], [8, 0, 5], [0, 4, 6], [6, 7]]} | {"states": [378, 453], "expectation_value": -0.04559214707615375, "params": [[-0.06720000000000001], [0.07200000000000001]], "bitstrings": ["010000101", "000111010"], "total_optimization_steps": 10, "probabilities": [0.002096265315276226, 0.0020963596888606576], "optimization_time": 5.031919240951538} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["000111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[1];
rz(-0.0672) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.0224) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(-0.0045) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0045) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
4414867571136143966 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 3, 5], [3, 5, 6], [1, 6, 7], [2, 3, 7], [1, 2, 3]]} | {"states": [229, 93], "expectation_value": -0.06528011278011457, "params": [[0.0772], [-0.0811]], "bitstrings": ["00011010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.004170515131318386, 0.004204780273384417], "optimization_time": 2.0146470069885254} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0515) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0257) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.0257) q[4];
cx q[1], q[4];
cx q[2], q[3];
rz(0.0515) q[3];
cx q[2], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x1) q[4];
cx q[2], q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
6e27c825b578bdc34d46b278685ce298 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [9, 169], "expectation_value": -5.680863912541489, "params": [[0.1603], [-0.1602]], "bitstrings": ["1111110110", "1101010110"], "total_optimization_steps": 20, "probabilities": [0.006501232200262911, 0.008163611319261875], "optimization_time": 3.540637254714966} | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.1603) q[0];
cx q[3], q[0];
cx q[0], q[7];
rz(-0.4007) q[7];
cx q[0], q[7];
cx q[0], q[9];
rz(0.6412) q[9];
cx q[0], q[9];
cx q[3], q[1];
rz(-0.3206) q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
7e25bc80cdf895181c3cb661afbef0b1 | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [0, 127], "expectation_value": -9.000109839314437, "params": [0.6537000000000001, 0.2378, -0.1192, 0.4494, 0.8149000000000001, 0.7512000000000001, -0.1125, 0.7656000000000001, 0.7866000000000001, 1.107, 0.0284, 0.9745, 0.8038000000000001, 1.2227000000000001, 0.027600000000000003, 1.0026000000000002, 0.7812, ... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 6 | 7 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000000", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6537) q[0];
rz(0.2378) q[0];
rx(0.8149) q[1];
rz(0.7512) q[1];
rx(0.7866) q[2];
rz(1.107) q[2];
rx(0.8038) q[3];
rz(1.2227) q[3];
rx(0.7812) q[4];
rz(0.6795) q[4];
rx(0.1012) q[5];
rz(0.6864) q[5];
rx(0.6553) q[6];
rz(0.7876) q[6];
crx(0.0975) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
8eaaab53dc56c7e01d8596f84d405ff0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [316, 109], "expectation_value": -0.8274978507344106, "params": [[-0.0129, 0.006200000000000001], [0.0111, -0.0039000000000000003]], "bitstrings": ["011000011", "110010010"], "total_optimization_steps": 10, "probabilities": [0.002033128068062419, 0.002047817252723675], "optimization_time": 3.270616054534912} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(8) @ Z(4)) + 18.5 * Z(2) + 2.0 * Z(0) + 18.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.129) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.129) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.129) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.129) q[4];
cx q[2], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -1.1078635569787778, "params": [[-0.0273, -0.0546, -0.034300000000000004, -0.0089], [-0.018500000000000003, 0.0596, 0.050800000000000005, 0.023200000000000002]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.026264332998972593, 0.028176... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.041) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0273) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.0273) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.1092) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(-0.0546... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
690ab9a303c84e82b8d6c798626278a5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 832], "expectation_value": -41.96640188295276, "params": [0.4863, 0.10980000000000001, 0.3961, 0.1075, 0.49150000000000005, 0.22460000000000002, 0.3957, 0.4731, -0.0049, 0.752, -0.004, 0.48040000000000005, 0.47340000000000004, 0.4358, 0.4277, 0.47600000000000003, 0.002, 0.49570000000000003, -0.0002, 0.41... | -1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1... | 6 | 10 | 3 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4863) q[0];
rz(0.1098) q[0];
rx(0.4915) q[1];
rz(0.2246) q[1];
rx(-0.0049) q[2];
rz(0.752) q[2];
rx(0.4734) q[3];
rz(0.4358) q[3];
rx(0.002) q[4];
rz(0.4957) q[4];
rx(-0.0131) q[5];
rz(0.9834) q[5];
rx(0.0035) q[6];
rz(0.5983) q[6];
rx(0.0315) 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... | {"node": 4} | {"circuits": [], "gradients": []} |
f156f991f453bf2551660b1dc00bf1f6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -14.924126280688066, "params": [0.0011, 0.46730000000000005, 0.0024000000000000002, 0.6091, -0.0028, 0.6055, 0.0005, 0.275, 0.0029000000000000002, 0.5949, 0.0025, 0.6026, 0.002, 0.433, 0.0027, 0.5933, 0.8107000000000001, 0.0037, 0.001, 0.1177, 0.0024000000000000002, -0.2425000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 4 | 9 | 2 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0011) q[0];
rz(0.4673) q[0];
rx(0.0024) q[1];
rz(0.6091) q[1];
rx(-0.0028) q[2];
rz(0.6055) q[2];
rx(0.0005) q[3];
rz(0.275) q[3];
rx(0.0029) q[4];
rz(0.5949) q[4];
rx(0.0025) q[5];
rz(0.6026) q[5];
rx(0.002) q[6];
rz(0.433) q[6];
rx(0.0027) q[7];
rz(0.59... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [67, 7], "expectation_value": -6.410069921740056, "params": [[0.0663], [-0.075]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006642232888030426, 0.00698012164175073], "optimization_time": 5.365910053253174} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.3646) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3646) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3646) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3646) q[3];
cx q[1], q[3];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"k": 5} | {"circuits": [], "gradients": []} |
ea4a93bee4e48b0d6ca857e85c4ec3f0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [255, 3], "expectation_value": -3.424867774239904, "params": [[-0.062400000000000004], [0.0711]], "bitstrings": ["00000000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.007040165189104788, 0.007227218514767587], "optimization_time": 1.0063679218292236} | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(0)) + -3.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(1)) + -2.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["11111100"]} | 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(0.3744) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.4368) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.4368) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.4368) q[1];
cx q[2], q[1];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | {"node": 5} | {"circuits": [], "gradients": []} |
b344bf11fd2b0d54716c798349481038 | 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": [95, 94], "expectation_value": -62.553282678355416, "params": [0.3987, 0.9396, 1.5052, 0.38120000000000004, 0.2802, 0.8797, 1.4967000000000001, 0.0059, 1.4903000000000002, 0.0059, 1.4944000000000002, -0.0031000000000000003, 1.4912, -0.14600000000000002, 0.8589, -0.2308, 0.38180000000000003, 0.0063, 1.4977, 0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 4.0 * Z(1) + 3.0 * Z(0) + 6.0 * Z(3) + 2.0 * Z(2) + 20.0 * Z(5) + 13.5 * Z(4) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3987) q[0];
rz(0.9396) q[0];
rx(1.5052) q[1];
rz(0.3812) q[1];
rx(0.2802) q[2];
rz(0.8797) q[2];
rx(1.4967) q[3];
rz(0.0059) q[3];
rx(1.4903) q[4];
rz(0.0059) q[4];
rx(1.4944) q[5];
rz(-0.0031) q[5];
rx(1.4912) q[6];
rz(-0.146) q[6];
rx(0.8589) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
7e286c90f17ff7394c4075cb20f3e88f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -24.475577557865112, "params": [[0.0443, -0.0374, -0.040600000000000004, -0.0179], [-0.08020000000000001, -0.0048000000000000004, 0.0546, 0.056900000000000006]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.011050122599116691, ... | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.3987) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.3987) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.3987) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.3987) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
16edd6d435844ab847eda41870086bbb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [679, 678], "expectation_value": -64.93690113252325, "params": [0.6026, 0.0106, -0.0032, 0.4102, 0.5984, 0.1231, 0.0015, 0.3262, 0.6082000000000001, 0.1814, -0.00030000000000000003, 0.37270000000000003, 0.0015, 0.4509, 0.5920000000000001, 0.0224, 0.5951000000000001, -0.0697, 0.3128, -0.1504, 0.60610000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + -7.0 * Z(1) + 0.5 * Z(0) + -3.0 * Z(3) + 7.5 * Z(2) + -3.5 * Z(5) + 1.5 * Z(4) + 7.5 * Z(7) + 2.0 * Z(9) + 17.0 * Z(8) + -14.5 * Z(6) | 18 | 10 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["0101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6026) q[0];
rz(0.0106) q[0];
rx(-0.0032) q[1];
rz(0.4102) q[1];
rx(0.5984) q[2];
rz(0.1231) q[2];
rx(0.0015) q[3];
rz(0.3262) q[3];
rx(0.6082) q[4];
rz(0.1814) q[4];
rx(-0.0003) q[5];
rz(0.3727) q[5];
rx(0.0015) q[6];
rz(0.4509) q[6];
rx(0.592) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
2653443677327490875 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [1, 2, 4, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 6, 7, 8, 11], [0, 1, 4, 5, 6, 8, 9, 10, 11], [1, 2, 3, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9, 11], [1, 4, 5, 6, 7, 11], [1, 3, 4, 6, 7, 8, 9, 11], [0, 1, ... | {"states": [2999, 2030], "expectation_value": -2.3084035978890087, "params": [[0.37010000000000004], [-0.3647]], "bitstrings": ["010001001000", "100000010001"], "total_optimization_steps": 40, "probabilities": [0.0011317303086088109, 0.0011735717347713312], "optimization_time": 71.38169884681702} | 0.09007936507936508 * (Z(0) @ Z(1)) + 0.19404761904761902 * (Z(2) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(0)) + 0.1964285714285714 * (Z(3) @ Z(1)) + 0.053968253968253964 * (Z(3) @ Z(0)) + 0.17579365079365078 * (Z(3) @ Z(2)) + 0.13968253968253969 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.10515873015873... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.02896825396825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0067460317460313, "smallest_bitstrings": ["100000010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0667) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1436) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0658) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [2007, 1751], "expectation_value": -6.77791646068029, "params": [0.49860000000000004, 0.0095, 0.5064000000000001, 0.0122, 0.5586, 0.0198, 0.5794, 0.0178, 0.3972, 0.1168, 0.40690000000000004, 0.1193, 0.6074, 0.0236, 0.6701, 0.0497, 0.5548000000000001, -0.0044, 0.5474, 0.0006000000000000001, 0.1748, 0.27890000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4986) q[0];
rz(0.0095) q[0];
rx(0.5586) q[1];
rz(0.0198) q[1];
rx(0.3972) q[2];
rz(0.1168) q[2];
rx(0.6074) q[3];
rz(0.0236) q[3];
rx(0.5548) q[4];
rz(-0.0044) q[4];
rx(0.1748) q[5];
rz(0.2789) q[5];
rx(0.5728) q[6];
rz(-0.0734) q[6];
rx(0.2008) 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
-6326534241307650018 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 4, 5], [2, 3], [0, 1, 3], [0, 1, 4, 5, 6], [0, 2, 5]]} | {"states": [116, 117], "expectation_value": -0.8857724126136193, "params": [[0.4652], [-0.40290000000000004]], "bitstrings": ["0001011", "0001010"], "total_optimization_steps": 50, "probabilities": [0.029785216993651546, 0.030291427294195934], "optimization_time": 1.7802321910858154} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(4)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["0001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(0.4652) q[3];
cx q[4], q[3];
cx q[4], q[2];
rz(0.1551) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(0.4652) q[2];
cx q[3], q[2];
cx q[4], q[5];
rz(0.2016) q[5];
cx q[4], q[5];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.686402215115311, "params": null, "bitstrings": ["011", "110"], "total_optimization_steps": 8, "probabilities": [0.13254251138207834, 0.8435861677590577], "optimization_time": 2.3355462551116943} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cry(-1.4449) q[2], q[0];
ry(1.1646) q[2];
ry(-0.6267) q[0];
ry(-1.3919) q[1];
cry(-0.162) q[2], q[1];
cry(-0.0479) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0]... |
f736cdcdd3e9fab7057c0068d5117a32 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -31.2607689806422, "params": [[-0.037000000000000005, 0.0068000000000000005, 0.0058000000000000005], [0.07640000000000001, 0.0688, 0.06760000000000001]], "bitstrings": ["000001011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.008523088980980021, 0.011069... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"]} | 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(-0.333) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.333) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.333) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.333) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [122, 90], "expectation_value": -0.04139103842352751, "params": [0.6848000000000001, 0.6848000000000001, 0.8866, 0.8901, 0.7509, 0.7296, 0.8564, 0.8357, 0.8898, 0.8644000000000001, 0.6856, 0.6865, 0.8895000000000001, 0.8854000000000001, 0.6873, 0.6835, -0.3024, 0.009600000000000001, -0.2927, 0.0064, 0.2806, ... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 13 | 8 | 1 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "01011010", "10010110", "01101001", "10101010", "01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.6848) q[0];
ry(0.8866) q[1];
ry(0.7509) q[2];
ry(0.8564) q[3];
ry(0.8898) q[4];
ry(0.6856) q[5];
ry(0.8895) q[6];
ry(0.6873) q[7];
crz(-0.3024) q[7], q[0];
crz(0.3031) q[6], q[7];
crz(0.2808) q[5], q[6];
crz(-0.2902) q[4], q[5];
crz(-0.3017) q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-531425129479941775 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6], [1, 2, 3, 4, 5], [1, 4, 7, 8, 10], [0, 1, 2, 3, 9], [2, 3, 6, 9, 10], [2, 4, 5, 6, 9, 10]]} | {"states": [1731, 1859], "expectation_value": -1.3505980205961305, "params": [1.0469, 1.4125, 1.4093, 1.588, 1.5837, 0.9708, 1.4042000000000001, 1.5767, 1.5787, 1.5706, 0.9127000000000001, 1.5932000000000002, 0.113, 0.0889, 0.2612, 0.3844, 0.6918000000000001, 0.7143, 1.5695000000000001, 1.5726, 1.3992, 1.53920000000000... | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.1 * (Z(2) @ Z(1)) + 0.05 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(1)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(6)... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.5000000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000007, "smallest_bitstrings": ["00010111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0469) q[0];
ry(1.4093) q[1];
ry(1.5837) q[2];
ry(1.4042) q[3];
ry(1.5787) q[4];
ry(0.9127) q[5];
ry(0.113) q[6];
ry(0.2612) q[7];
ry(0.6918) q[8];
ry(1.5695) q[9];
ry(1.3992) q[10];
crx(1.1237) q[10], q[0];
crx(0.9554) q[9], q[10];
crx(0.2631) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
148c98be54f48380a1d59caea5fb9c95 | 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": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -18.223083215678134, "params": [[[-0.0033, 0.0048000000000000004], [0.0023, 0.0061], [0.0024000000000000002, 0.0047], [0.0026000000000000003, 0.0091], [0.0023, 0.0023], [0.0024000000000000002, 0.009000000000000001], [0.0023, 0.0032], [1.608, 0.0]]], "bitstrings": ["11111111", "11... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0033) q[0];
rz(0.0048) q[0];
rx(0.0023) q[1];
rz(0.0061) q[1];
rx(0.0024) q[2];
rz(0.0047) q[2];
rx(0.0026) q[3];
rz(0.0091) q[3];
rx(0.0023) q[4];
rz(0.0023) q[4];
rx(0.0024) q[5];
rz(0.009) q[5];
rx(0.0023) q[6];
rz(0.0032) q[6];
rx(1.608) 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] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -19.07182670256603, "params": [[-0.017, 0.0358, 0.0189, -0.008], [0.027, -0.0468, -0.054200000000000005, -0.0393]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0100442917369504, 0.012839266042887756], "optimization_time": 7.7108... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.5], "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(-0.119) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.119) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.119) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.119) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
20b257e7ab3ea05503daa46ec3868b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [309, 359], "expectation_value": -0.3586465252392139, "params": [[-0.0784, -0.08080000000000001, -0.08020000000000001], [0.0757, 0.0765, 0.0753]], "bitstrings": ["011001010", "010011000"], "total_optimization_steps": 10, "probabilities": [0.003574831226175787, 0.004140237104473717], "optimization_time": 20.1... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(7)) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.6875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6875, "smallest_bitstrings": ["010011000"]} | 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(-0.0784) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0392) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.0392) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.0392) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3203e6b5b42395ee244d3c25a0a78bc8 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.6813398919562674, "params": [[1.4475, 0.19820000000000002, 1.5729, 0.17750000000000002, 1.5903, 0.2702, 1.6597000000000002, 1.5483, 0.2144, 1.5481, 0.2772, 1.6118000000000001, 0.2457, 1.594, 0.2544, 0.255], [1.6754, 0.24430000000000002, 1.5846, 0.17900000000000002, 1.5... | 0.25 * (Z(0) @ Z(1)) + -0.0005208333333333333 * (Z(2) @ Z(0)) + -0.0005208333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00078125 * (Z(6) @ Z(0))... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.023958333333316], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0239583333332822, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.4475) q[0];
ry(0.1982) q[1];
ry(1.5729) q[2];
ry(0.1775) q[3];
ry(1.5903) q[4];
ry(0.2702) q[5];
ry(1.6597) q[6];
ry(1.5483) q[7];
ry(0.2144) q[8];
ry(1.5481) q[9];
ry(0.2772) q[10];
ry(1.6118) q[11];
ry(0.2457) q[12];
ry(1.594) q[13];
ry(0.2544) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
275bda64efc1528447a5b1b19a7bd734 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2582, 2581], "expectation_value": -94.8666460320828, "params": [[[0.5151, 0.027100000000000003], [0.13140000000000002, 0.0146], [0.8983000000000001, 0.1012], [0.0699, 0.10070000000000001], [0.0761, -0.010400000000000001], [0.0269, -0.0098], [0.059800000000000006, 0.02], [0.7397, 0.3841], [0.2649, 0.4842], [... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(4) @ Z(9)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(11) @ Z(3)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(10) @ Z(11)) + -3.0 * Z(1) + 5.5 * Z(0) + 9.0 * Z(2) + 12.0 * Z(3) + -3.0 * Z(5) + 16.0 *... | 15 | 12 | 3 | {"smallest_eigenvalues": [-122.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["010111101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.5151) q[0];
ry(0.1314) q[1];
ry(0.8983) q[2];
ry(0.0699) q[3];
ry(0.0761) q[4];
ry(0.0269) q[5];
ry(0.0598) q[6];
ry(0.7397) q[7];
ry(0.2649) q[8];
ry(-0.0005) q[9];
ry(0.8924) q[10];
ry(0.5687) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.01714563678675518, "params": [[0.0673], [-0.051500000000000004]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.12757748699382312, 0.12928851368981842], "optimization_time": 0.622105598449707} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0673) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0673) q[1];
cx q[2], q[1];
rz(-0.0673) q[2];
rz(0) q[0];
rz(0) q[1];
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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
rz(x1) q[2];
rz(x2) q[0];
rz(x2) q[1];
h q[0];
rz(x3) q[0];
h q[0];
h ... | null | {"circuits": [], "gradients": []} |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [175, 1], "expectation_value": -1.1284157769460736, "params": [[-0.058100000000000006, 0.053700000000000005], [0.0745, -0.0078000000000000005]], "bitstrings": ["101010000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002903223914122189, 0.003092585810057285], "optimization_time": 3.8309... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0291) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1453) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.1453) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0872) q[2];
cx q[1], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [25, 1], "expectation_value": -1.3722304524434072, "params": [[0.0729, 0.0655, 0.0741], [-0.0806, -0.06420000000000001, -0.0723]], "bitstrings": ["100110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03208619507562778, 0.03684790120383459], "optimization_time": 3.6109228134155273} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.1094) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.1094) q[1];
cx q[2], q[1];
cx q[0], q[5];
rz(0.1458) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(-0.0729) q[5];
cx q[1], q[5];
cx q[3], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [411, 413], "expectation_value": -5.710684425785294, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741882, 0.8578073217068282], "optimization_time": 118.27388644218445} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c58a74e7de5e9dac3fc1f9030d581bc0 | 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": 1, "target":... | {"states": [57599, 65535], "expectation_value": -16.441513922571943, "params": [-0.0023, -0.559, 0.6344000000000001, -0.002, -2.8326000000000002, 0.0027, -1.0913000000000002, 0.0034000000000000002, 0.0021000000000000003, -0.34940000000000004, 1.1175000000000002, 0.0011, 0.0022, 0.3569, -0.8869, 0.0009000000000000001, -... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + 0.5 * (Z(13) @ Z(12)) + -1.5 * (Z(13) @ Z(11)) + -1.0 * (Z(14) @ Z... | 4 | 16 | 1 | {"smallest_eigenvalues": [-19.499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999954, "smallest_bitstrings": ["0000000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(-0.0023) q[0];
rz(-0.559) q[0];
rx(0.6344) q[1];
rz(-0.002) q[1];
rx(-2.8326) q[2];
rz(0.0027) q[2];
rx(-1.0913) q[3];
rz(0.0034) q[3];
rx(0.0021) q[4];
rz(-0.3494) q[4];
rx(1.1175) q[5];
rz(0.0011) q[5];
rx(0.0022) q[6];
rz(0.3569) q[6];
rx(-0.8869) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
c8cc4a98ae2322198d431f79e7c08f2a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [922, 925], "expectation_value": -2.2218494498584427, "params": [[[0.006900000000000001, -0.43270000000000003, 0.0041, 0.0045000000000000005], [-0.0015, 0.2952, 0.9421, -0.1004], [0.2832, -0.1173, -0.22290000000000001, 0.2721], [0.0664, 0.39840000000000003, 1.1029, 0.022000000000000002], [1.105, -0.031, 1.10... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(2) @ Z(8)) ... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["11100010000", "10110001000", "1... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0069) q[0];
rz(-0.4327) q[0];
ry(-0.0015) q[1];
rz(0.2952) q[1];
ry(0.2832) q[2];
rz(-0.1173) q[2];
ry(0.0664) q[3];
rz(0.3984) q[3];
ry(1.105) q[4];
rz(-0.031) q[4];
ry(0.9311) q[5];
rz(-0.1595) q[5];
ry(0.5376) q[6];
rz(-0.4907) q[6];
ry(0.1151) 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": []} |
e67f3c00e14c8f91eb0d08bc8d200da9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [208, 209], "expectation_value": -3.174318573251595, "params": [1.6039, 0.0011, 1.6084, -0.0035, 1.6003, -0.0024000000000000002, 1.6072000000000002, 0.0002, -0.0048000000000000004, -0.6634, 0.1383, 0.48460000000000003, 0.6018, 0.7348, 1.6099, 0.004, 1.5784, 1.5693000000000001, -1.5896000000000001, -1.5261, -... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.0 * Z(5) + -0.5 * Z(7) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00101110", "00011110", "10101100", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6039) q[0];
rz(0.0011) q[0];
rx(1.6084) q[1];
rz(-0.0035) q[1];
rx(1.6003) q[2];
rz(-0.0024) q[2];
rx(1.6072) q[3];
rz(0.0002) q[3];
rx(-0.0048) q[4];
rz(-0.6634) q[4];
rx(0.1383) q[5];
rz(0.4846) q[5];
rx(0.6018) q[6];
rz(0.7348) q[6];
rx(1.6099) 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": []} |
-8529075278346333409 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 7], [0, 2, 3, 4, 5, 7], [5, 6, 7], [1, 2, 4, 5, 6], [1, 3, 4], [8, 5], [2, 3, 6], [1, 4, 7], [0, 2, 4, 7, 8], [0, 1, 5], [0, 4, 6], [3, 5, 6], [0, 5, 6]]} | {"states": [423, 378], "expectation_value": -1.1636090749255963, "params": [[-0.2152], [0.2214]], "bitstrings": ["001011000", "010000101"], "total_optimization_steps": 30, "probabilities": [0.004397787837094215, 0.004405663892043892], "optimization_time": 1.9750468730926514} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.08333333333333334 * (Z(0) @ Z(7)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(7)) + 0.08333333333333334 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4666666666666677, "smallest_bitstrings": ["010000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.0717) q[8];
cx q[1], q[8];
cx q[1], q[7];
rz(-0.1435) q[7];
cx q[1], q[7];
cx q[8], q[7];
rz(-0.0933) q[7];
cx q[8], q[7];
cx q[1], q[0];
rz(-0.0717) q[0];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
fb1a0ebec8d81f4892f1d514d6e9d7ae | 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": [189, 173], "expectation_value": -57.47865840433627, "params": [0.0023, 0.4535, 0.7017, 0.0882, 0.34840000000000004, 0.23190000000000002, 0.6976, 0.0767, 0.41140000000000004, 0.20850000000000002, 0.6961, 0.0106, 0.7028, 0.1331, 0.26980000000000004, 0.2843, 0.6993, -0.0092, 0.0029000000000000002, 0.4346000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 11.0 * Z(1) + -4.0 * Z(0) + 5.0 * Z(2) + 18.0 * Z(3) + 8.5 * Z(4) + 8.0 * Z(5)... | 18 | 9 | 4 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(0.4535) q[0];
rx(0.7017) q[1];
rz(0.0882) q[1];
rx(0.3484) q[2];
rz(0.2319) q[2];
rx(0.6976) q[3];
rz(0.0767) q[3];
rx(0.4114) q[4];
rz(0.2085) q[4];
rx(0.6961) q[5];
rz(0.0106) q[5];
rx(0.7028) q[6];
rz(0.1331) q[6];
rx(0.2698) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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 fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 16.0715548992157} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[2];
cry(1.5486) q[3], q[1];
cry(1.5486) q[1], q[4];
cry(-1.5486) q[4], q[0];
ry(0.1215) q[4];
cry(-0.2402) q[4], q[1];
cry(-0.2759) q[2], q[3];
ry(-0.2324) q[1];
cry(-0.3923) q[4], q[3];
cry(-0.4861) q[2], q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
a617cd4648156ddc77f993201a7a952c | kclique | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 174.7824249267578} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.0978) q[5];
cry(-1.5708) q[6], q[3];
ry(0.9474) q[6];
ry(-0.46... | null | {"k": 5} | {"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(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
861da3d4aba3be7dfc9c975e27f8a25d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 436], "expectation_value": -82.45681657169234, "params": [0.0019, 0.007, 2.8000000000000003, 0.001, 2.8036000000000003, 0.0007, 1.4884000000000002, 0.0098, 2.7954000000000003, 0.0026000000000000003, 2.7967, 0.0058000000000000005, 0.44260000000000005, 0.0027, 2.807, 0.00030000000000000003, 0.00290000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + -3.0 * Z(0) + 14.5 * Z(1) + 14.0 * Z(4) + 9.5 * Z(3) + 8... | 18 | 10 | 1 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0019) q[0];
rz(0.007) q[0];
rx(2.8) q[1];
rz(0.001) q[1];
rx(2.8036) q[2];
rz(0.0007) q[2];
rx(1.4884) q[3];
rz(0.0098) q[3];
rx(2.7954) q[4];
rz(0.0026) q[4];
rx(2.7967) q[5];
rz(0.0058) q[5];
rx(0.4426) q[6];
rz(0.0027) q[6];
rx(2.807) q[7];
rz(0.0003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2910, 2987], "expectation_value": -1.842217195992543, "params": [[0.0734, 0.0755, 0.062200000000000005], [-0.0679, -0.0741, -0.056]], "bitstrings": ["010010100001", "010001010100"], "total_optimization_steps": 10, "probabilities": [0.0006522091249470852, 0.0006522091249470853], "optimization_time": 11.31542... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | 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[4], q[3];
rz(0.0734) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0734) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0734) q[5];
cx q[3], q[5];
cx q[3], q[6];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [19, 44], "expectation_value": -0.2908743929993832, "params": [[-0.0671, -0.0765], [0.058600000000000006, 0.0711]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.0209474722859442, 0.020947472285944204], "optimization_time": 2.248378038406372} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0671) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0671) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.0671) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(-0.0671) q[2];
cx q[5], q[2];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
-9113301954828505956 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4], [0, 6], [8, 5], [0, 3], [1, 5, 6], [0, 2, 7], [8, 1, 7], [2, 3, 5], [0, 5], [1, 2], [8, 6], [4, 6, 7], [2, 5, 7], [0, 1], [1, 3, 7], [8, 3], [1, 4, 6]]} | {"states": [426, 174], "expectation_value": -6.114226891227339, "params": null, "bitstrings": ["001010101", "101010001"], "total_optimization_steps": 56, "probabilities": [0.01222100670441166, 0.9856256829982676], "optimization_time": 94.19456315040588} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.1666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["101010001"]} | 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(1.5592) q[7];
ry(1.2292) q[6];
cry(-1.4328) q[6], q[0];
ry(1.5269) q[5];
cry(-1.5673) q[5], q[8];
ry(1.5676) q[3];
cry(-1.5238) q[7], q[4];
cry(1.445) q[3], q[1];
cry(-1.5307) q[1], q[2... | 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(1.5592) 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] = m... |
c4a271fff109309e7f31bc6df27c4553 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [109, 107], "expectation_value": -46.06908559271182, "params": [0.0671, 0.07980000000000001, 1.0013, 0.6682, 0.7463000000000001, 0.7485, -0.24230000000000002, 0.3483, 0.8001, 0.7931, 0.7858, 0.5504, 0.0233, 0.45080000000000003, 0.8756, 0.9821000000000001, 0.0635, -0.0745, 0.7366, 0.7418, 0.5867, 1.0843, 0.19... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 4.5 * Z(0) + 6.5 * Z(2) + 11.0 * Z(1) + 0.5 * Z(3) + 7.0 * Z(4) + 10.0 * Z(5) + 5.5 * Z(6) + 6.5 * Z(7) | 14 | 8 | 2 | {"smallest_eigenvalues": [-46.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0671) q[0];
ry(1.0013) q[1];
ry(0.7463) q[2];
ry(-0.2423) q[3];
ry(0.8001) q[4];
ry(0.7858) q[5];
ry(0.0233) q[6];
ry(0.8756) q[7];
crx(0.2271) q[7], q[0];
crx(-0.696) q[6], q[7];
crx(-1.2062) q[5], q[6];
crx(0.0517) q[4], q[5];
crx(0.4399) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
1e277e87feb79246d4c3112af02a6a4a | matching | 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": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [189, 188], "expectation_value": -76.29404835101846, "params": [-0.0027, 0.8013, 1.405, -0.0781, 0.769, -0.2902, 1.3983, 0.0037, 1.4018000000000002, -0.0023, 1.3980000000000001, -0.0027, 1.3926, 0.10260000000000001, 0.6736000000000001, 0.3723, 0.8002, 0.2964, -0.0027, 0.0008, 1.3992, 0.0023, 0.76540000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0027) q[0];
rz(0.8013) q[0];
rx(1.405) q[1];
rz(-0.0781) q[1];
rx(0.769) q[2];
rz(-0.2902) q[2];
rx(1.3983) q[3];
rz(0.0037) q[3];
rx(1.4018) q[4];
rz(-0.0023) q[4];
rx(1.398) q[5];
rz(-0.0027) q[5];
rx(1.3926) q[6];
rz(0.1026) q[6];
rx(0.6736) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
cb943fcd43d9f749780630b91be79506 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [478, 223], "expectation_value": -7.580617870830445, "params": [[[-0.0049, 0.0034000000000000002], [0.002, 0.0038], [0.0035, -0.0018000000000000002], [0.6103000000000001, -0.003], [0.0027, -0.003], [0.002, -0.0023], [-0.0025, 0.0021000000000000003], [-1.5591000000000002, 0.009600000000000001], [0.81270000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 15 | 9 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0049) q[0];
ry(0.002) q[1];
ry(0.0035) q[2];
ry(0.6103) q[3];
ry(0.0027) q[4];
ry(0.002) q[5];
ry(-0.0025) q[6];
ry(-1.5591) q[7];
ry(0.8127) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 66.13322567939758} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | 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(62.9199) q[5];
ry(4.2103) q[4];
cry(2.4382) q[7], q[5];
ry(0.3263) q[3];
cry(1.2445) q[6], q[3];
cry(-3.31) q[3], q[4];
ry(1.2782) q[7];
cry(0.6619) q[6], q[4];
ry(-1.5681) q[1];
ry(-1.5486) q[... | null | {"source": 0, "sink": 3} | {"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(62.9199) 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... |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [175, 1], "expectation_value": -1.6581844925849487, "params": [[-0.08370000000000001], [0.0794]], "bitstrings": ["101010000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0034335644868532167, 0.003772066232936125], "optimization_time": 2.8856959342956543} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0419) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.2093) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.2093) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.1256) q[2];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2709643479563405023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6]]} | {"states": [62, 47], "expectation_value": -0.39868971039048373, "params": [0.9974000000000001, 0.0002, 0.9938, 0.008, 0.9956, 0.0023, 1.0039, 0.0005, 0.9927, 0.0002, 0.9949, 0.0024000000000000002, 1.0016, 0.0035, 1.0051, 0.0088, 1.0034, -0.0036000000000000003, 0.9946, 0.0033, 0.9958, 0.0001, 0.9926, 0.00450000000000000... | 0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(6) @ Z(2)) ... | 6 | 7 | 1 | {"smallest_eigenvalues": [-0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -0.5666666666666667, "smallest_bitstrings": ["0001100", "0010100", "0100011", "0011000", "1000100", "1001000", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9974) q[0];
rz(0.0002) q[0];
rx(0.9956) q[1];
rz(0.0023) q[1];
rx(0.9927) q[2];
rz(0.0002) q[2];
rx(1.0016) q[3];
rz(0.0035) q[3];
rx(1.0034) q[4];
rz(-0.0036) q[4];
rx(0.9958) q[5];
rz(0.0001) q[5];
rx(1.0019) q[6];
rz(0) q[6];
crx(-0.1565) q[6], q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
383e9bbba4c1f2fb35a314751837dc18 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [36, 100], "expectation_value": -2.922619135252256, "params": [[[0.8320000000000001, -0.0022], [0.9073, 0.0036000000000000003], [0.0494, -0.0011], [-0.0035, -0.0176], [0.9065000000000001, 0.9075000000000001], [0.8165, 0.891], [0.9054000000000001, -0.25670000000000004]], [[0.9033, 0.0047], [0.903, 0.002400000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(4) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001101", "0110011", "0111010", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.832) q[0];
ry(0.9073) q[1];
ry(0.0494) q[2];
ry(-0.0035) q[3];
ry(0.9065) q[4];
ry(0.8165) q[5];
ry(0.9054) 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(-0.0022) q[0];
ry(0.0036) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3012e1b6018e3f767ff12c1a3a3c35a1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [173, 685], "expectation_value": -1.5681828833774671, "params": [0.3294, 0.0376, 0.3317, 0.049100000000000005, 0.09910000000000001, 0.16590000000000002, 0.1012, 0.1653, 0.4001, 0.0179, 0.40240000000000004, 0.0741, 0.19260000000000002, -0.0876, 0.19740000000000002, -0.09190000000000001, 0.3899, -0.0233, 0.388... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.... | 7 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010010", "0011010010", "1000011010", "0010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3294) q[0];
rz(0.0376) q[0];
rx(0.0991) q[1];
rz(0.1659) q[1];
rx(0.4001) q[2];
rz(0.0179) q[2];
rx(0.1926) q[3];
rz(-0.0876) q[3];
rx(0.3899) q[4];
rz(-0.0233) q[4];
rx(0.0726) q[5];
rz(-0.1679) q[5];
rx(0.3915) q[6];
rz(-0.0076) q[6];
rx(0.404) 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... | null | {"circuits": [], "gradients": []} |
6cfd499277502d6e85a2cad6ec018ed8 | 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}], "edges": [{"... | {"states": [245, 213], "expectation_value": -73.98235665670862, "params": [0.0858, 0.2059, 0.08710000000000001, 0.19790000000000002, 0.4927, -0.055600000000000004, 0.4937, -0.0388, 0.4933, -0.045000000000000005, 0.49960000000000004, -0.0238, 0.2604, 0.1179, 0.2635, 0.113, 0.4929, -0.0979, 0.4879, -0.061200000000000004,... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 0.5 * Z(0) + 11.0 * Z(2) + 5.0 * Z(3) + 14.0 * Z(4) + 2.0 * Z(5)... | 5 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0858) q[0];
rz(0.2059) q[0];
rx(0.4927) q[1];
rz(-0.0556) q[1];
rx(0.4933) q[2];
rz(-0.045) q[2];
rx(0.2604) q[3];
rz(0.1179) q[3];
rx(0.4929) q[4];
rz(-0.0979) q[4];
rx(0.0971) q[5];
rz(0.0773) q[5];
rx(0.4973) q[6];
rz(-0.0577) q[6];
rx(0.0042) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [0, 1], "expectation_value": -4.74483181608554, "params": [[[0.0025, 0.3699], [0.0033, 0.44370000000000004], [0.0038, 0.43510000000000004], [-0.0002, 0.3376], [0.6077, -0.0035]], [[0.0005, 0.33640000000000003], [0.0017000000000000001, 0.46], [0.0015, 0.461], [0.0064, 0.463], [0.6043000000000001, -0.0035]], [... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0025) q[0];
rz(0.3699) q[0];
rx(0.0033) q[1];
rz(0.4437) q[1];
rx(0.0038) q[2];
rz(0.4351) q[2];
rx(-0.0002) q[3];
rz(0.3376) q[3];
rx(0.6077) q[4];
rz(-0.0035) q[4];
rx(0.0005) q[0];
rz(0.3364) q[0];
rx(0.0017) q[1];
rz(0.46) q[1];
rx(0.0015) q[2];
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": 4} | {"circuits": [], "gradients": []} |
8521544053316815945 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 5]]} | {"states": [124, 248], "expectation_value": -0.011948058842489975, "params": [[0.0724], [-0.0728]], "bitstrings": ["10000011", "00000111"], "total_optimization_steps": 10, "probabilities": [0.004006922241055976, 0.004006922241055976], "optimization_time": 2.1450252532958984} | 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, -0.7000000000000001, ... | 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[1];
rz(0.0048) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0048) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0048) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0048) q[4];
cx q[2], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
5bb3f230f56ac9bab802a8146772ac94 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -23.327404449827686, "params": [[[1.381, 0.0064], [0.37220000000000003, 0.0061], [0.3589, 0.003], [0.3799, 0.0029000000000000002], [0.2697, 0.0043], [1.5961, 0.003], [1.6015000000000001, 0.0059]]], "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 160, "probabilit... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.381) q[0];
rz(0.0064) q[0];
rx(0.3722) q[1];
rz(0.0061) q[1];
rx(0.3589) q[2];
rz(0.003) q[2];
rx(0.3799) q[3];
rz(0.0029) q[3];
rx(0.2697) q[4];
rz(0.0043) q[4];
rx(1.5961) q[5];
rz(0.003) q[5];
rx(1.6015) q[6];
rz(0.0059) q[6];
c[0] = measure q[0];
c[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"k": 5} | {"circuits": [], "gradients": []} |
b46f04fc2a241c238bcfc66d2cc811fa | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "... | {"states": [95, 31], "expectation_value": -2.419833963200609, "params": [[0.0444], [-0.040100000000000004]], "bitstrings": ["111110100000", "111111100000"], "total_optimization_steps": 10, "probabilities": [0.00039891832567070764, 0.00041020276993481575], "optimization_time": 3.949826717376709} | 1.0 * (Z(1) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + 1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 1.5 * (Z(0) @ Z(2)) + -3.0 * (Z(0) @ Z(1)) + -4.0 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + -3.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-50.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.0, "smallest_bitstrings": ["111111100000"]} | 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[2], q[1];
rz(0.0888) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.3108) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.1332) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"node": 0} | {"circuits": [], "gradients": []} |
5384376261088904827 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [2, 3], [0, 3, 4], [0, 1], [1, 3, 4]]} | {"states": [39, 38], "expectation_value": -1.1393983422619691, "params": [2.2012, 1.0682, 0.5378000000000001, -0.0037, 2.189, 0.0022, 2.188, -0.0026000000000000003, 2.2008, 0.0033, 1.3892, 0.0068000000000000005, -0.019100000000000002, 2.1755, -2.1793, 0.9681000000000001, 0.9813000000000001], "bitstrings": ["011000", "0... | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.0 * Z(5) + 0.16666666666666674 * Z(0) + 0.3333333333333335 * Z(... | 4 | 6 | 1 | {"smallest_eigenvalues": [-1.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(2.2012) q[0];
rz(1.0682) q[0];
rx(0.5378) q[1];
rz(-0.0037) q[1];
rx(2.189) q[2];
rz(0.0022) q[2];
rx(2.188) q[3];
rz(-0.0026) q[3];
rx(2.2008) q[4];
rz(0.0033) q[4];
rx(1.3892) q[5];
rz(0.0068) q[5];
crx(0.9813) q[5], q[4];
crx(0.9681) q[4], q[3];
crx(-2.1... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 35], "expectation_value": -1.0179775620099771, "params": [[0.0669, 0.06860000000000001, 0.0664, 0.0424], [-0.0579, -0.058800000000000005, -0.0608, -0.046200000000000005]], "bitstrings": ["100111", "011100"], "total_optimization_steps": 10, "probabilities": [0.027817643327885447, 0.03218504686166219], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"]} | 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(0.0669) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0669) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0669) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.0669) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.0669... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [84, 85], "expectation_value": -2.892002161226328, "params": [[[0.0031000000000000003, 0.5362, 0.0078000000000000005, 0.0032], [0.528, 0.0095, 0.5241, 0.0033], [0.0025, -0.1782, 0.0089, -0.1832], [0.5296000000000001, -0.0029000000000000002, 0.5272, 0.009600000000000001], [-0.0019, 0.0109, 0.0023, 0.0134], [0... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(5)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 12 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110010", "10101100", "10111000", "11001001", "11001100", "11101000", "10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0031) q[0];
rz(0.5362) q[0];
ry(0.528) q[1];
rz(0.0095) q[1];
ry(0.0025) q[2];
rz(-0.1782) q[2];
ry(0.5296) q[3];
rz(-0.0029) q[3];
ry(-0.0019) q[4];
rz(0.0109) q[4];
ry(0.6036) q[5];
rz(-0.002) q[5];
ry(0.1628) q[6];
rz(0.0047) q[6];
ry(0.804) 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": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 20.623874187469482} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[5];
cry(-0.3789) q[2], q[3];
cry(0.2489) q[0], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-2075692636776882479 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5, 7], [2, 4], [0, 4], [8, 1], [3, 5], [1, 6]]} | {"states": [152, 29], "expectation_value": -2.538759358223868, "params": null, "bitstrings": ["101100111", "111100010"], "total_optimization_steps": 72, "probabilities": [0.04369320044418283, 0.6834725922222706], "optimization_time": 116.36350846290588} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666663 * Z(5) + 0.16666666666666674 * Z(4) + 0.16666666666666666 * Z(7) + 0.0 * Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["111001000", "101001101", "111100010", "101100111"]} | 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];
cry(-1.0342) q[8], q[1];
cry(-1.0342) q[5], q[3];
ry(0.971) q[5];
ry(-0.6611) q[3];
cry(-1.0342) q[4], q[2];
ry(0.7884) q[4];
cry(-1.3439) q[4], q[0];
ry(0.7003) q[8];
cry(-0.7092) q[6], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
55e47338bba624266c8b8b1563bf0dbf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -92.34569622922072, "params": [0.23600000000000002, 0.154, 0.232, 0.1504, 0.49110000000000004, 0.046200000000000005, 0.49000000000000005, 0.023100000000000002, 0.49960000000000004, -0.0024000000000000002, 0.49670000000000003, 0.0013000000000000002, 0.4948, -0.0053, 0.49520000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(9) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.236) q[0];
rz(0.154) q[0];
rx(0.4911) q[1];
rz(0.0462) q[1];
rx(0.4996) q[2];
rz(-0.0024) q[2];
rx(0.4948) q[3];
rz(-0.0053) q[3];
rx(0.221) q[4];
rz(0.1601) q[4];
rx(0.4971) q[5];
rz(0.0405) q[5];
rx(0.1953) q[6];
rz(0.1567) q[6];
rx(0.4936) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
13897d244e0881b4447dd2a9a298bf14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [200, 204], "expectation_value": -2.2873487168760582, "params": [0.4061, -0.0001, 0.40690000000000004, 0.0001, 0.398, -0.0002, 0.4022, -0.003, 0.00030000000000000003, 0.28650000000000003, 0.007, 0.30710000000000004, 0.0699, 0.1736, 0.0746, 0.1696, 0.3411, 0.0105, 0.3347, 0.030500000000000003, 0.3257, 0.04160... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(6)) + -0.25 *... | 7 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["00110011", "00111001", "10100110", "10101001", "00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4061) q[0];
rz(-0.0001) q[0];
rx(0.398) q[1];
rz(-0.0002) q[1];
rx(0.0003) q[2];
rz(0.2865) q[2];
rx(0.0699) q[3];
rz(0.1736) q[3];
rx(0.3411) q[4];
rz(0.0105) q[4];
rx(0.3257) q[5];
rz(0.0416) q[5];
rx(0.0811) q[6];
rz(0.1622) q[6];
rx(0.0871) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
a53162d430fc2b38125cbaef83b3d844 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [442, 314], "expectation_value": -3.9810030030009536, "params": [[[0.9113, 0.0012000000000000001], [0.7424000000000001, 0.038900000000000004], [-0.0068000000000000005, -0.46540000000000004], [0.9028, -0.0011], [0.8342, 0.0013000000000000002], [0.909, -0.0011], [-0.0047, 0.46230000000000004], [0.9039, 0.0028]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(4) + -0.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["001010101", "011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9113) q[0];
rz(0.0012) q[0];
rx(0.7424) q[1];
rz(0.0389) q[1];
rx(-0.0068) q[2];
rz(-0.4654) q[2];
rx(0.9028) q[3];
rz(-0.0011) q[3];
rx(0.8342) q[4];
rz(0.0013) q[4];
rx(0.909) q[5];
rz(-0.0011) q[5];
rx(-0.0047) q[6];
rz(0.4623) q[6];
rx(0.9039) 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": []} |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.77299446074027, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.04221512464039476, 0.7004298277408587], "optimization_time": 869.8538393974304} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"]} | 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];
ry(1.5577) q[5];
ry(1.5577) q[0];
ry(1.5708) q[15];
ry(1.5708) q[9];
ry(1.5708) q[2];
cry(1.5681) q[2], q[14];
cry(1.5681) q... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"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];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | 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": [371, 245], "expectation_value": -0.8933036698431013, "params": [[-0.059500000000000004, -0.07250000000000001], [0.07150000000000001, 0.07250000000000001]], "bitstrings": ["010001100", "100001010"], "total_optimization_steps": 10, "probabilities": [0.00309854802425838, 0.0030985480242583813], "optimization_t... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[2];
rz(-0.0595) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.0595) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.0595) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(-0.0595) q[5];
cx q[2], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(x0) q[1... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -11.8227299974197, "params": [[[0.4277, -0.1854], [0.48410000000000003, 0.1827], [0.505, -0.1806], [0.42850000000000005, 0.1855], [0.4287, 0.18710000000000002], [0.8017000000000001, -0.0014], [0.7988000000000001, 0.0016], [0.79, 0.002]], [[0.4223, 0.0085], [0.47990000000000005, 0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4277) q[0];
rz(-0.1854) q[0];
rx(0.4841) q[1];
rz(0.1827) q[1];
rx(0.505) q[2];
rz(-0.1806) q[2];
rx(0.4285) q[3];
rz(0.1855) q[3];
rx(0.4287) q[4];
rz(0.1871) q[4];
rx(0.8017) q[5];
rz(-0.0014) q[5];
rx(0.7988) q[6];
rz(0.0016) q[6];
rx(0.79) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
4c4da3ad491bff88a89c5a8ec3c34597 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 2, "sourc... | {"states": [492, 220], "expectation_value": -22.94205742011787, "params": null, "bitstrings": ["000010011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06607608965990223, 0.10720124909597452], "optimization_time": 153.65291905403137} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 8.0 * Z(1) + 5.0 * Z(0) + 8.0 * Z(2) + 16.5 * Z(4) + 6.0 * Z(3) + 8.5 * Z(5) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(38.6317) q[4];
ry(4.8278) q[6];
ry(4.0045) q[7];
ry(14.2407) q[2];
cry(-10.0502) q[2], q[4];
ry(10.2077) q[3];
cry(-19.2459) q[8], q[4];
cry(-34.4083) q[1], q[4];
ry(4.4163) q[5];
cry(-... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(38.6317) 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] = ... |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 9], "expectation_value": -1.4741122302370115, "params": null, "bitstrings": ["0011", "0110"], "total_optimization_steps": 12, "probabilities": [0.07397885559690098, 0.9005801026366488], "optimization_time": 5.430545091629028} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.4449) q[2];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[1];
ry(0.7022) q[3];
ry(-0.4578) q[1];
cry(0.4969) q[0], q[3];
cry(-0.3761) q[0], q[1];
cry(-0.1216) q[0], q[2];
cry(0.1097) q[3], q[0];
cry(-0.0705) q[1], q[3];
cry(0.029)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
00c47f772e828bc0d4453cbe4002ef93 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -3.250824392895308, "params": [[[1.1591, 0.0041], [1.0842, 0.006900000000000001], [1.1642000000000001, 0.0027], [1.1634, 0.0009000000000000001], [1.5975000000000001, 0.009300000000000001], [1.5832000000000002, 0.0067], [1.5808, 0.007200000000000001]]], "bitstrings": ["1111001", "... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.1591) q[0];
rz(0.0041) q[0];
rx(1.0842) q[1];
rz(0.0069) q[1];
rx(1.1642) q[2];
rz(0.0027) q[2];
rx(1.1634) q[3];
rz(0.0009) q[3];
rx(1.5975) q[4];
rz(0.0093) q[4];
rx(1.5832) q[5];
rz(0.0067) q[5];
rx(1.5808) q[6];
rz(0.0072) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [39, 55], "expectation_value": -8.870067691944683, "params": null, "bitstrings": ["11011000", "11001000"], "total_optimization_steps": 80, "probabilities": [0.28174963113822254, 0.4245343800743181], "optimization_time": 109.2421715259552} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"]} | 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(1.2796) q[3];
cry(1.5708) q[2], q[5];
cry(1.1105) q[3], q[2];
cry(0.2916) q[3], q[5];
cry(-1.0357) q[5], q[3];
cry(-0.024) q[2], q[3];
cry(1.0754) q[7], q[3];
cry(0.6395) q[1], q[3];
ry(0.1936)... | 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(1.2796) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
16e531ebd5c4fa365456c9500ea8e716 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -5.4064340538236655, "params": [[-0.0086, 0.0453, 0.052000000000000005, 0.0135], [0.0235, -0.0318, -0.053200000000000004, -0.0391]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01569678783179421, 0.016032966108324644], "optimization_... | 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 ... | 10 | 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;
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(-0.0387) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0387) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0387) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0387) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
5706636009ecc7f801b207a9bea4fa6f | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [608, 864], "expectation_value": -6.148698591982941, "params": [[[1.6885000000000001, 0.0058000000000000005], [1.622, 0.009000000000000001], [-0.0057, 0.0014], [1.7111, 0.0086], [1.7143000000000002, 0.0086], [1.4651, 0.0027], [0.0309, 0.0079], [1.5071, 0.0085], [-0.0019, 0.0067], [-0.0028, 0.0021000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["0010011111", "1110001011", "0110011011", "1010001111", "1100101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6885) q[0];
rz(0.0058) q[0];
rx(1.622) q[1];
rz(0.009) q[1];
rx(-0.0057) q[2];
rz(0.0014) q[2];
rx(1.7111) q[3];
rz(0.0086) q[3];
rx(1.7143) q[4];
rz(0.0086) q[4];
rx(1.4651) q[5];
rz(0.0027) q[5];
rx(0.0309) q[6];
rz(0.0079) q[6];
rx(1.5071) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
-8752437030611392589 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 6], [2, 3, 4, 6], [1, 3, 5, 6], [0, 1, 4, 6], [1, 2, 6], [2, 4, 5], [3, 4, 5, 6], [1, 2, 3, 5]]} | {"states": [124, 91], "expectation_value": -1.1816838400232674, "params": [[-0.3497], [0.3549]], "bitstrings": ["0000011", "0100100"], "total_optimization_steps": 40, "probabilities": [0.020871910870678974, 0.021426109999791478], "optimization_time": 1.6265628337860107} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1166) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1749) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0583) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.2914) q[6];
cx q[1], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [57, 51], "expectation_value": -4.99989899194261, "params": null, "bitstrings": ["1000110", "1001100"], "total_optimization_steps": 35, "probabilities": [1.6350062746436547e-05, 0.9999303727531189], "optimization_time": 36.95959162712097} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[5];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
44e61706daf92d69379b166200daab47 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [190, 186], "expectation_value": -94.18892878689122, "params": [0.0015, 0.5947, 0.2277, 0.30810000000000004, 0.7856000000000001, 0.09090000000000001, 0.1883, 0.3487, 0.7868, -0.0056, 0.7893, -0.0031000000000000003, 0.7888000000000001, 0.0862, 0.39390000000000003, 0.2044, 0.7849, 0.1366, -0.0151, 0.4172, 0.00... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(9) @ Z(8)) + 13.5 * Z(2) ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-105.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0015) q[0];
rz(0.5947) q[0];
rx(0.2277) q[1];
rz(0.3081) q[1];
rx(0.7856) q[2];
rz(0.0909) q[2];
rx(0.1883) q[3];
rz(0.3487) q[3];
rx(0.7868) q[4];
rz(-0.0056) q[4];
rx(0.7893) q[5];
rz(-0.0031) q[5];
rx(0.7888) q[6];
rz(0.0862) q[6];
rx(0.3939) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [60285, 55230], "expectation_value": -8.693862493457758, "params": [[0.054700000000000006, 0.0558, 0.0663, 0.07200000000000001], [-0.050100000000000006, -0.033800000000000004, -0.049100000000000005, -0.0541]], "bitstrings": ["0001010010000010", "0010100001000001"], "total_optimization_steps": 10, "probabilit... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.499999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999787, "smallest_bitstrings": ["0010100001000001"]} | 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[3];
rz(0.0547) q[3];
cx q[1], q[3];
cx q[1], q[0];
rz(0.0547) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(0.0547) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
b301caa8ee54d69b7ea37306c72194d5 | 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": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -13.52267599729324, "params": [[-0.0346, -0.0194], [0.058100000000000006, 0.06280000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010445257055960711, 0.012147848636950977], "optimization_time": 2.859774112701416} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "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[0], q[3];
rz(-0.3114) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.3114) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.3114) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.3114) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 110.93396759033203} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.2796) q[7];
ry(1.5708) q[5];
cry(-1.569) q[5], q[2];
cry(-1.5681) q[5], q[1];
cry(-1.5681) q[5], q[3];
cry(0.2912) q[5], q[7];
cry(1.4449) q[5], q[4];
cry(-1.4433) q[4], q[6... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) 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]... |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -1.5007434388240293, "params": null, "bitstrings": ["00110", "01001"], "total_optimization_steps": 29, "probabilities": [0.06723978163605852, 0.6325175128957774], "optimization_time": 22.32169461250305} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.3016) q[2], q[4];
cry(-1.3016) q[3], q[1];
ry(1.0086) q[0];
cry(-0.4691) q[2], q[1];
cry(0.8314) q[2], q[3];
cry(-0.4269) q[3], q[4];
cry(0.8492) q[3], q[2];
cry(0.4128) q[2], q[0];
cry(-0.1403) q[0], q[1];
ry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.3016) q[2], 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;\nq... |
f9c36f837fe19b4c77f3d9cc45d33715 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [12, 140], "expectation_value": -4.965333578756699, "params": [1.6103, -0.0025, 0.2595, 0.0032, 0.0697, -0.0032, 1.6076000000000001, 0.0013000000000000002, 1.6027, -0.0037, 1.6065, 0.0019, 0.004200000000000001, 0.0097, -0.0091, 0.00030000000000000003, -1.5767, 1.5782, 1.5911000000000002, -1.597, 1.5793000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["10011011", "01101110", "01110011", "01110110", "10001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6103) q[0];
rz(-0.0025) q[0];
rx(0.2595) q[1];
rz(0.0032) q[1];
rx(0.0697) q[2];
rz(-0.0032) q[2];
rx(1.6076) q[3];
rz(0.0013) q[3];
rx(1.6027) q[4];
rz(-0.0037) q[4];
rx(1.6065) q[5];
rz(0.0019) q[5];
rx(0.0042) q[6];
rz(0.0097) q[6];
rx(-0.0091) 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": []} |
0b641e78cabb3c51d33f15ee04149ee8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": ... | {"states": [2045, 2041], "expectation_value": -21.76040391227621, "params": [[[-0.0085, 0.0032], [-0.0114, -0.0026000000000000003], [0.0012000000000000001, 0.0023], [-0.0025, 0.0026000000000000003], [-0.0011, 0.0018000000000000002], [-0.0017000000000000001, 0.0027], [-0.0004, 0.0027], [0.0, 0.0026000000000000003], [-0.... | -1.0 * (Z(0) @ Z(9)) + -1.25 * (Z(1) @ Z(9)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(2)) + 1.25 * (Z(3) @... | 15 | 12 | 4 | {"smallest_eigenvalues": [-22.25, -22.25, -22.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -21.25, "smallest_bitstrings": ["100000000100", "100000000110", "110000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0085) q[0];
ry(-0.0114) q[1];
ry(0.0012) q[2];
ry(-0.0025) q[3];
ry(-0.0011) q[4];
ry(-0.0017) q[5];
ry(-0.0004) q[6];
ry(0) q[7];
ry(-0.0041) q[8];
ry(0.5401) q[9];
ry(0.0044) q[10];
ry(-0.0097) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [19, 76], "expectation_value": -0.16130488785478325, "params": [[0.07640000000000001], [-0.0659]], "bitstrings": ["1101100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.008700199149708125, 0.00886120051845167], "optimization_time": 1.332620620727539} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 1 | 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": ["1100101", "1011100", "1110001", "1010101", "1101100", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0764) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0764) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0764) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(0.0764) q[5];
cx q[0], q[5];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[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(... | null | {"circuits": [], "gradients": []} |
be98abf16f233411f1a7350078e6bb3a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [105, 113], "expectation_value": -3.999105011962873, "params": null, "bitstrings": ["0010110", "0001110"], "total_optimization_steps": 34, "probabilities": [0.06552852227118001, 0.9338466720002203], "optimization_time": 25.395774364471436} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010110", "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];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[6];
ry(1.4417) q[1];
ry(1.4417) q[0];
cry(-1.0342) q[2], q[3];
ry(0.7003) q[2];
cry(-0.1259) q[1], q[5];
ry(-0.4549) q[3];
cry(0.4963) q[6], q[2];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
06224520ded029e940b1fde3f5ab3e3b | 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": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.8043963719152916, "params": [[[0.5656, 0.2318], [0.6419, -0.12050000000000001], [0.6557000000000001, 0.1076], [0.8672000000000001, -0.002], [0.9573, 0.001], [0.8535, -0.0013000000000000002]], [[0.5685, 0.006900000000000001], [0.6469, 0.005], [0.6608, 0.0064], [0.8645, 0.0061],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (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)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.5656) q[0];
rz(0.2318) q[0];
rx(0.6419) q[1];
rz(-0.1205) q[1];
rx(0.6557) q[2];
rz(0.1076) q[2];
rx(0.8672) q[3];
rz(-0.002) q[3];
rx(0.9573) q[4];
rz(0.001) q[4];
rx(0.8535) q[5];
rz(-0.0013) q[5];
rx(0.5685) q[0];
rz(0.0069) q[0];
rx(0.6469) 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": 3} | {"circuits": [], "gradients": []} |
ea4e0759936a839eade2a9fd100fb8a2 | 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": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [52, 53], "expectation_value": -4.961264897159742, "params": [0.0806, 0.07930000000000001, 0.1506, 0.15510000000000002, 0.3078, 0.3159, 0.4002, 0.40740000000000004, 0.40790000000000004, 0.4, -0.016800000000000002, -0.016300000000000002, 0.4062, 0.4076, -0.0073, -0.0002, 0.4033, 0.3957, 0.0801, 0.081200000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001011", "111001010", "011001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0806) q[0];
ry(0.1506) q[1];
ry(0.3078) q[2];
ry(0.4002) q[3];
ry(0.4079) q[4];
ry(-0.0168) q[5];
ry(0.4062) q[6];
ry(-0.0073) q[7];
ry(0.4033) q[8];
crz(-0.1522) q[8], q[0];
crz(-0.2072) q[7], q[8];
crz(-0.0019) q[6], q[7];
crz(-0.2005) q[5], q[6];
crz(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": []} |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [59773, 55230], "expectation_value": -4.5703648832358645, "params": [[-0.0575, -0.0436], [0.0616, 0.06420000000000001]], "bitstrings": ["0001011010000010", "0010100001000001"], "total_optimization_steps": 10, "probabilities": [3.408956986118598e-05, 3.4310193829748626e-05], "optimization_time": 24.9731814861... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.499999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999787, "smallest_bitstrings": ["0010100001000001"]} | 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[3];
rz(-0.0575) q[3];
cx q[1], q[3];
cx q[1], q[0];
rz(-0.0575) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(-0.0575) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
b679ae34e8a07362440686ccdc7f1ca9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [975, 1023], "expectation_value": -1.4864279208610862, "params": [[0.07], [-0.0752]], "bitstrings": ["0000110000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0016424977286985498, 0.001709264572134965], "optimization_time": 4.647838115692139} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(9)) + -2.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.28) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.28) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.21) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.28) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 8} | {"circuits": [], "gradients": []} |
15665b6f17e50a473c9dc7122f285f9f | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [0, 331], "expectation_value": -4.268924672468682, "params": [0.6048, 0.0036000000000000003, 0.5976, 0.0024000000000000002, 0.2462, 0.0015, 0.1394, 0.0017000000000000001, 0.6017, 0.0027, 0.603, 0.0064, 0.6106, 0.0047, 0.6003000000000001, 0.0081, 0.6017, -0.0023, 0.5952000000000001, 0.0053, 0.6009, -0.0035, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100100", "010110100", "010011100", "110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6048) q[0];
rz(0.0036) q[0];
rx(0.2462) q[1];
rz(0.0015) q[1];
rx(0.6017) q[2];
rz(0.0027) q[2];
rx(0.6106) q[3];
rz(0.0047) q[3];
rx(0.6017) q[4];
rz(-0.0023) q[4];
rx(0.6009) q[5];
rz(-0.0035) q[5];
rx(0.2352) q[6];
rz(0.0017) q[6];
rx(0.6037) 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": []} |
96ad00ceee3f9c4e7577fb22d2b67779 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -28.75243868270168, "params": [[-0.0396, -0.0108, 0.010100000000000001, 0.0091], [0.0635, 0.060500000000000005, 0.056100000000000004, 0.0584]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.011637042384510568, 0.0176542529510017... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.3564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.3564) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.3564) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
26def67ce5f93d788ddd1b023c589a8e | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [107, 43], "expectation_value": -3.202486460707081, "params": [0.0241, 0.0006000000000000001, 0.38280000000000003, 0.35800000000000004, 0.7749, 0.7652, 0.0053, 0.0002, 0.5863, 0.5814, 0.0033, -0.0035, 0.7768, 0.7723, 0.7415, 0.7522000000000001, -0.006, 0.0155, 0.32270000000000004, 0.31570000000000004, 0.783,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.12... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010101", "10010110", "11010100", "10010101", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0241) q[0];
ry(0.3828) q[1];
ry(0.7749) q[2];
ry(0.0053) q[3];
ry(0.5863) q[4];
ry(0.0033) q[5];
ry(0.7768) q[6];
ry(0.7415) q[7];
crx(0.2704) q[7], q[0];
crx(0.2119) q[6], q[7];
crx(0.572) q[5], q[6];
crx(-0.004) q[4], q[5];
crx(-0.1126) q[3], q[4];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -6.249992734363122, "params": null, "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 62, "probabilities": [7.986917857680569e-07, 0.9999977902380801], "optimization_time": 66.80463790893555} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5486) q[5];
ry(1.5486) q[4];
ry(1.5485) q[2];
ry(1.5681) q[1];
cry(1.5708) q[1], q[3];
cry(1.5681) q[1], q[6];
cry(-1.4449) q[6], q[0];
cry(-0.1188) q[3], q[0];
cry(0.0223) q[1], q[2];
cry(0.0222) q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
336dab1a0f29cbb797a483d443b63b25 | 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": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [0, 69], "expectation_value": -3.1317676852774716, "params": [0.3024, -0.0008, 0.3048, -0.0011, 0.13820000000000002, -0.008, 0.1274, -0.0083, -0.0006000000000000001, 0.16110000000000002, -0.0028, 0.1652, -0.0041, 0.19590000000000002, 0.0016, 0.2404, 0.30460000000000004, 0.0011, 0.3043, 0.0016, 0.0, 0.2219000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(6) ... | 6 | 7 | 3 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3024) q[0];
rz(-0.0008) q[0];
rx(0.1382) q[1];
rz(-0.008) q[1];
rx(-0.0006) q[2];
rz(0.1611) q[2];
rx(-0.0041) q[3];
rz(0.1959) q[3];
rx(0.3046) q[4];
rz(0.0011) q[4];
rx(0) q[5];
rz(0.2219) q[5];
rx(0.3078) q[6];
rz(0.0004) q[6];
crx(-0.0031) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b92c16178f977d94a04901a5809941e1 | 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": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -22.88437177680046, "params": [-0.0026000000000000003, 0.1898, -0.0015, 0.21730000000000002, -0.0081, 0.13820000000000002, -0.001, 0.1816, 0.30310000000000004, -0.00030000000000000003, 0.3005, -0.0004, 0.0089, 0.1338, -0.0071, 0.2247, -0.008, 0.1726, -0.0056, 0.1768, -0.0789, 0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 6 | 11 | 3 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0026) q[0];
rz(0.1898) q[0];
rx(-0.0081) q[1];
rz(0.1382) q[1];
rx(0.3031) q[2];
rz(-0.0003) q[2];
rx(0.0089) q[3];
rz(0.1338) q[3];
rx(-0.008) q[4];
rz(0.1726) q[4];
rx(-0.0789) q[5];
rz(0.0881) q[5];
rx(0.0051) q[6];
rz(0.2151) q[6];
rx(0.0012) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | adaptive_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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 337.48297333717346} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | 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];
ry(1.5708) q[11];
ry(1.5708) q[10];
ry(1.5708) q[6];
cry(-1.5592) q[10], q[1];
cry(1.4449) q[4], q[9];
cry(1.5482) q[6], q[3];
cry(-1.4449) q[10], q[0];
cry(-1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] 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];\nry(1.5708) q[11];\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];... |
8251796805923722861 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [0, 4], [1, 2, 4], [1, 5], [4, 5], [2, 3, 4]]} | {"states": [41, 22], "expectation_value": -0.05103989787374018, "params": [[-0.0635], [0.0745]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.01675985472944834, 0.016862377826501202], "optimization_time": 1.4908115863800049} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["101001"]} | 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(-0.0212) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0423) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0212) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0423) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
540e4dc6cd5ba125f618f28f48205cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 1, "tar... | {"states": [245, 244], "expectation_value": -35.278491978510836, "params": [[-0.0351, -0.0054, 0.0039000000000000003, 0.0011], [0.0752, 0.07100000000000001, 0.0629, 0.0545]], "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.014172915721077164, 0.018940514235366378], "optimiz... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100001011"]} | 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(-0.3159) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3159) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3159) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.3159) q[4];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
347cd23786ada5a7ec96f3799dd0d8dc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 174.33842754364014} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.5995) q[2];
ry(29.8457) q[5];
ry(-0.6383) q[7];
ry(63.1298) q[6];
cry(62.5925) q[6], q[2];
ry(30.31) q[3];
cry(62.811) q[4], q[2];
cry(62.821) q[1], q[2];
cry(18.6858) q[2], q[6];
cry(1.1124)... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) 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[... |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [133, 7], "expectation_value": -12.226348664640373, "params": [[0.0489, 0.0236], [-0.08900000000000001, -0.0823]], "bitstrings": ["01111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010381576337406502, 0.011370654661078294], "optimization_time": 6.783490896224976} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 5 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.269) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.269) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.269) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.269) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} |
d609fb0bdfb5a6750e8877837b4fffb7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [60, 63], "expectation_value": -2.873974027936423, "params": [[0.0709], [-0.0789]], "bitstrings": ["11111000011", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.001064637028515223, 0.0011105893302681925], "optimization_time": 1.325829029083252} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["11111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.4254) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4254) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3545) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3545... | 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[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 ... | {"node": 3} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -21.225415172692433, "params": [[0.0205, 0.0158, -0.0114, 0.0082], [-0.0391, -0.0563, -0.0366, -0.0463]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.018776343423976986, 0.023557641698969543], "optimization_time": 6.527066230773926} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.123) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.123) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.123) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
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