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
CP1-HSZ/1.004 (CP1-HSZ) - HS7 (CP1-HSZ)

CP1-HSZ/1.004 (CP1-HSZ) - HS7


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


Timo Jakobs (uni-bonn)


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)

Presentation materials