Monte Carlo sampling helps model quantum annealing on 3D lattices

Jacek Dziarmaga of Jagiellonian University is simulating quantum annealing on a three-dimensional cubic lattice, moving from a paramagnetic to a spin-glass phase using a tensor network approach. The work tests the Kibble-Zurek power law, a mechanism originally proposed to describe cosmological phase transitions, by evaluating residual energy across a range of annealing times. Researchers introduce a new Monte Carlo sampling approach for finite lattices, complementing a deterministic method used for infinite lattices, as the residual energy consistently approaches the KZ power law with increased annealing time. This simulation offers new opportunities to explore the quantum version of the Kibble-Zurek mechanism in higher dimensions. A new Monte Carlo sampling approach accelerates the simulation of quantum annealing on three-dimensional lattices, offering a significant efficiency gain over deterministic methods when evaluating energy in finite systems. This advancement addresses a key bottleneck in tensor-network simulations, allowing for the exploration of…