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Population Annealing, the currently state-of-the-art algorithm for solvingspin-glass systems, sometimes finds hard disorder instances for which itsequilibration quality at each temperature step is severely damaged. In suchcases one can therefore not be sure about having reached the true ground statewithout vastly increasing the computational resources. In this work we overcomethis problem by proposing a quantum-inspired modification of PopulationAnnealing. Here we focus on three-dimensional random plaquette gauge modelwhich ground state energy problem seems to be much harder to solve thanstandard spin-glass Edwards-Anderson model. In analogy to the Toric Code, byallowing single bond flips we let the system explore non-physical states,effectively expanding the configurational space by the introduction oftopological defects that are then annealed through an additional fieldparameter. The dynamics of these defects allow for the effective realization ofnon-local cluster moves, potentially easing the equilibration process. We studythe performance of this new method in three-dimensional random plaquette gaugemodel lattices of various sizes and compare it against Population Annealing.With that we conclude that the newly introduced non-local moves are able toimprove the equilibration of the lattices, in some cases being superior to anormal Population Annealing algorithm with a sixteen times higher computationalresource investment.

Easing the equilibration of spin systems with quenched disorder in Population Annealing by topological-defect-driven non-local updates