# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Digitizing $\mathrm{SU}(2)$ gauge fields and what to look out for when doing so

Aug 9, 2022, 2:40 PM
20m
CP1-HSZ/1st-1.004 - HS7 (CP1-HSZ)

### CP1-HSZ/1st-1.004 - HS7

#### CP1-HSZ

70
Oral Presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks)

### Speaker

Timo Jakobs (uni-bonn)

### Description

With the long term perspective of using quantum computers 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 $\mathrm{SU}(2)$, 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.

### Primary authors

Carsten Urbach (Helmholtz-Institut für Strahlen- und Kernphysik) Johann Ostmeyer (University of Liverpool) Karl Jansen (DESY) Timo Jakobs (uni-bonn) Dr Tobias Hartung (Department of Mathematical Sciences, University of Bath)