Digitizing SU(2) gauge fields and what to look out for when doing so

Jakobs, Timo, Hartung, Tobias, Jansen, Karl, Ostmeyer, Johann and Urbach, Carsten (2023) Digitizing SU(2) gauge fields and what to look out for when doing so. Proceedings of Science: The Proceedings of 39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany, LATTIC. 015. ISSN 1824-8039

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.

Preview	Text 2212.09496.pdf - Submitted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (2MB)
Preview	Text LATTICE2022_015.pdf - Published Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (2MB)

Official URL:	https://pos.sissa.it/430/015
Item Type:	Article
Disciplines:	Computing, Maths, Engineering and Natural Sciences > Computing and Information Systems
Depositing User:	Tobias Hartung
Date Deposited:	07 Aug 2023 10:53
Last Modified:	20 Dec 2024 13:32
URI:	https://nul.repository.guildhe.ac.uk/id/eprint/420

Actions (login required)

Edit Item