Table 3 Computational time and minimum configurational energy of different optimizers for solving the NbMoTaW optimization problem
problem | QUBO size | Gurobi | simulated annealer | HQA | ||||
---|---|---|---|---|---|---|---|---|
size | lattice sites | Time (s) | Min E (eV) | Time (s) | Min E (eV) | Time (s) | Min E (eV) | |
2 × 2 × 2 | 16 | 64 | 3.51 | −195.22 | 24.65 | −195.47 | 177.31 | −195.28 |
4 × 4 × 4 | 128 | 512 | 2375.30 | −1502.37 | 241.22 | −1510.88 | 338.92 | −1512.71 |
8 × 8 × 8 | 1024 | 4096 | >3600.00 | - | >3600.00 | - | 3061.11 | −12168.30 |