title: Confidence and efficiency scaling in variational quantum Monte Carlo calculations.
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.
authors.affiliation: LPTMC, UMR 7600 of CNRS, Université Pierre et Marie Curie, Paris, France.
authors.forename: F
authors.initials: F
authors.lastname: Delyon
authors.affiliation: LPTMC, UMR 7600 of CNRS, Université Pierre et Marie Curie, Paris, France.
authors.forename: B
authors.initials: B
authors.lastname: Bernu
authors.affiliation: LPMMC, UMR 5493 of CNRS, Université Grenoble Alpes, B.P. 166, 38042 Grenoble, France.
authors.forename: Markus
authors.initials: M
authors.lastname: Holzmann