Benchmarking Monte Carlo simulations for simple quantum systems in epistemically-restricted phase-space representation

We develop an unconventional Monte Carlo simulation within the phase-space formulation of quantum mechanics taking into account a global-nonseparable random variable whose strength is epistemically restricted on the order of Planck’s constant. Compared to the ordinary variational Monte simulation, we find that energy expectation values of simple quantum systems such like harmonic oscillators can be calculated by our method with a reasonable accuracy and competitive calculation time at a large sampling N of random numbers (e.g., at N > 105 samples). We also discuss the comparison of simulations performed in different computing resources.