Confidence and efficiency scaling in Variational Quantum Monte Carlo calculations
arXiv:1609.02703 · doi:10.1103/PhysRevE.95.023307
Abstract
Based on the central limit theorem, we discuss the problem of evaluation of the statistical error of Monte Carlo calculations using a time discretized diffusion process. We present a robust and practical method to determine the effective variance of general observables and show how to verify the equilibrium hypothesis by the Kolmogorov-Smirnov test. We then derive scaling laws of the efficiency illustrated by Variational Monte Carlo calculations on the two dimensional electron gas.
10 pages