This topical review describes the methodology of continuum variational and diffusion
quantum Monte Carlo calculations. These stochastic methods are based on many-body …

Abstract Quantum Monte Carlo methods represent a powerful and broadly applicable
computational tool for finding very accurate solutions of the stationary Schrödinger equation …

Over the past several decades, computational approaches to studying strongly-interacting
systems have become increasingly varied and sophisticated. This book provides a …

We present an overview of the variational and diffusion quantum Monte Carlo methods as
implemented in the casino program. We particularly focus on developments made in the last …

Abstract Diffusion Monte Carlo (DMC) based on fixed-node approximation has enjoyed
significant developments in the past decades and become one of the go-to methods when …

Ultra-cold Fermi gases exhibit a rich array of quantum mechanical properties, including the
transition from a fermionic superfluid Bardeen-Cooper-Schrieffer (BCS) state to a bosonic …

We present an algorithm to estimate the excited states of a quantum system by variational
Monte Carlo, which has no free parameters and requires no orthogonalization of the states …

We propose an approach to the electronic structure problem based on noninteracting
electron pairs that has similar computational cost to conventional methods based on …

Computing the Pfaffian of a skew-symmetric matrix is a problem that arises in various fields
of physics. Both computing the Pfaffian and a related problem, computing the canonical form …

Quantum Monte Carlo (QMC) is a family of stochastic methods for solving quantum many-
body problems such as the stationary Schrödinger equation. The review introduces basic …