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

Circuitizing product formulas for (1+1)D SU(2) lattice gauge theories: Lessons from alternative formulations

Aug 11, 2022, 11:50 AM
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

Jesse Stryker (University of Maryland, College Park)

Description

We develop digital quantum algorithms for simulating a 1+1 dimensional SU(2) lattice gauge theory in the Schwinger boson and loop-string-hadron (LSH) formulations. These algorithms complement and improve on the algorithm by Kan & Nam (arXiv:2107.12769) based on the angular momentum basis, which generalized an earlier algorithm for a U(1) gauge theory (the Schwinger model) [Quantum 4, 306 (2020)]. We share the lessons learned regarding the application of product formulas to time evolution in various formulations of this lattice gauge theory, especially the identification of individually-circuitizable Hamiltonian terms, how to circuitize the SU(2) interactions, and what factors make a given formulation more or less costly. Within this framework, the LSH formulation leads to the least resource-intensive algorithm to date for the model considered.

Primary authors

Jesse Stryker (University of Maryland, College Park) Zohreh Davoudi (University of Maryland) Alexander Shaw (University of Maryland, College Park)

Presentation materials