8–13 Aug 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Improved lattice method for determining entanglement measures in SU(N) gauge theories

10 Aug 2022, 16:50
20m
CP1-HSZ/1.004 (CP1-HSZ) - HS7 (CP1-HSZ)

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

CP1-HSZ

70
Show room on map
Oral Presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms

Speaker

Tobias Rindlisbacher (University of Bern)

Description

The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of Rényi entropies prohibitively expensive.
In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 3 and 4 dimensions.

Primary authors

Tobias Rindlisbacher (University of Bern) Niko Jokela (University of Helsinki) Arttu Pönni (Aalto University) Kari Rummukainen (University of Helsinki) Ahmed Salami (University of Helsinki)

Presentation materials