Seminarium Fizyki Materii Skondensowanej

Quantum computers hold the promise of solving certain problems that lie beyond the reach of conventional computers. Establishing this capability, especially for impactful and meaningful problems, remains a central challenge. One such problem is the simulation of nonequilibrium dynamics of a magnetic spin system quenched through a quantum phase transition. In this respect, a recent article reports on an extensive benchmark of D-Wave quantum annealingprocessor comparing its performance with several leading classical approximation methods, including tensor networks and neural networks. It delineates parameter regions (system size, Ising couplings geometry, quench times) where none of the above classical methods achieve the same accuracy as the quantum annealer within a reasonable timeframe. I'll focus on the limitations of tensor networks, in particular, projected entangled-pairs states ansatz, for performing such simulations.