TY - JOUR
AU - Mehta, V.
AU - Jin, F.
AU - Michielsen, K.
AU - De Raedt, H.
TI - On the hardness of quadratic unconstrained binary optimization problems
JO - Frontiers in physics
VL - 10
SN - 2296-424X
CY - Lausanne
PB - Frontiers Media
M1 - FZJ-2022-03917
SP - 956882
PY - 2022
AB - 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.
LB - PUB:(DE-HGF)16
UR - <Go to ISI:>//WOS:000854166900001
DO - DOI:10.3389/fphy.2022.956882
UR - https://juser.fz-juelich.de/record/910535
ER -