vix.ing · top · new · best · stats · spec

Digitizing SU(2) Gauge Fields and What to Look Out for When Doing So

2022/12/19 by Tobias Hartung, Timo Jakobs, Hartung, Tobias +7
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2212.09496

Abstract

With the long term perspective of using quantum computers and tensor networks for lattice gauge theory simulations, an efficient method of digitizing gauge group elements is needed. We thus present our results for a handful of discretization approaches for the non-trivial example of SU(2), such as its finite subgroups, as well as different classes of finite subsets. We focus our attention on a freezing transition observed towards weak couplings. A generalized version of the Fibonacci spiral appears to be particularly efficient and close to optimal.

Related