Permutation matrix representation quantum Monte Carlo: A universal framework for simulating arbitrary quantum many-body systems

Gaining insight into the equilibrium properties of large-scale quantum many-body systems is essential for advancing our understanding of fundamental physics, the discovery of novel quantum phenomena as well as the design of future scientific and technological applications. Quantum Monte Carlo (QMC) techniques are, in the majority of cases, the only viable approach at our disposal to developing a systematic understanding of large-scale quantum systems. However, QMC algorithms have their limitations, with a major one being the common need to tailor distinct model-specific updates to each to-be-simulated system in order to ensure the ergodicity and detailed balance of the stochastic process. In this talk, I will discuss a novel, universal, parameter-free QMC framework designed to be capable of handling simulations of essentially arbitrarily conceived physical models, including ones involving mixtures of particle types and interactions of arbitrary locality and in arbitrary geometries.