In these proceedings, we review recent advances in applying quantum computing to lattice
field theory. Quantum computing offers the prospect to simulate lattice field theories in …

Monte Carlo simulations of quantum field theories on a lattice become increasingly
expensive as the continuum limit is approached since the cost per independent sample …

In this paper we describe a new integration method for the groups U (N) and SU (N), for
which we verified numerically that it is polynomially exact for N≤ 3. The method is applied to …

The zeta-regularization allows to establish a connection between Feynman's path integral
and Fourier integral operator zeta-functions. This fact can be utilized to perform the …

This article provides an overview of some interfaces between the theory of quasi-Monte
Carlo (QMC) methods and applications. We summarize three QMC theoretical settings: first …

The error scaling for Markov-Chain Monte Carlo techniques (MCMC) with $ N $ samples
behaves like $1/\sqrt {N} $. This scaling makes it often very time intensive to reduce the error …

High dimensional integrals are abundant in many fields of research including quantum
physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of …

In lattice field theory, the interactions of elementary particles can be computed via high-
dimensional integrals. Markov-chain Monte Carlo (MCMC) methods based on importance …

In lattice Quantum Field Theory, we are often presented with integrals over polynomials of
coefficients of matrices in U (N) or SU (N) with respect to the Haar measure. In some …

The error scaling for Markov chain Monte Carlo (MCMC) techniques with N samples
behaves like 1/√ N. This scaling makes it often very time intensive to reduce the error of …