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

Defining Canonical Momenta for Discretised SU$(2)$ Gauge Fields

Aug 9, 2022, 3:00 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) Algorithms

Speaker

Carsten Urbach (Helmholtz-Institut für Strahlen- und Kernphysik)

Description

Simulating SU$(N)$ gauge theories on a quantum computer requires some form of digitization of the gauge degrees of freedom. Recently, we have proposed discretisation schemes, which offer in contrast to finite subgroups the possibility to freely refine the discretisation. Here we present an approach to define the corresponding canonical momentum operators. We present results on the restoration of the fundamental commutation relations towards continuous gauge field degrees of freedom.

Primary authors

Arianna Crippa Carsten Urbach (Helmholtz-Institut für Strahlen- und Kernphysik) Giuseppe Clemente (DESY - Zeuthen) Johann Ostmeyer (University of Liverpool) Karl Jansen (DESY) Marco Garofalo (Helmholtz-Institut für Strahlen- und Kernphysik) Simone Romiti (uni-bonn) Tobias Hartung (Department of Mathematical Sciences, University of Bath)

Presentation materials