Monte Carlo sampling from a projected entangled-pair state in simulations of quantum annealing in the three dimensional random Ising model
This research proposes a Monte Carlo sampling method for estimating residual excitation energy in 3D quantum annealing simulations using projected entangled-pair states (PEPS). By shifting the computational burden from expectation value calculation to time-evolution simulation, this approach offers a more feasible path for studying non-equilibrium quantum dynamics like the Kibble-Zurek mechanism in higher dimensions.