Mitigating the sign problem with Permutation Matrix Representation quantum Monte Carlo

The Permutation Matrix Representation quantum Monte Carlo algorithm [Gupta, Albash and Hen, J. Stat. Mech. (2020) 073105] is a parameter-free Trotter error-free QMC technique designed to tackle a very broad range of physical models within a single unifying framework. In this approach, configurations correspond to closed walks on the Hamiltonian matrix graph. I will demonstrate how this technique can be used to mitigate the sign problem in a variety of quantum many-body models.