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

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

Aug 10, 2022, 4:50 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

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