학술논문

On the hardness of quadratic unconstrained binary optimization problems
Document Type
article
Source
Frontiers in Physics, Vol 10 (2022)
Subject
QUBO problem
hamming distance
level spacing distribution
quantum annealer
success probability
Physics
QC1-999
Language
English
ISSN
2296-424X
Abstract
We use exact enumeration to characterize the solutions of quadratic unconstrained binary optimization problems of less than 21 variables in terms of their distributions of Hamming distances to close-by solutions. We also perform experiments with the D-Wave Advantage 5.1 quantum annealer, solving many instances of up to 170-variable, quadratic unconstrained binary optimization problems. Our results demonstrate that the exponents characterizing the success probability of a D-Wave annealer to solve a quadratic unconstrained binary optimization correlate very well with the predictions based on the Hamming distance distributions computed for small problem instances.