Table 3 Computational time and minimum configurational energy of different optimizers for solving the NbMoTaW optimization problem

From: Quantum annealing-assisted lattice optimization

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