Simulating Lattice Gauge Theories within Quantum Technologies
Abstract
Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the reliable quantum simulation of currently intractable aspects of QCD itself, lattice gauge theories also play an important role in condensed matter physics and in quantum information science. In this way, lattice gauge theories provide both motivation and a framework for interdisciplinary research towards the development of special purpose digital and analog quantum simulators, and ultimately of scalable universal quantum computers. In this manuscript, recent results and new tools from a quantum science approach to study lattice gauge theories are reviewed. Two new complementary approaches are discussed: first, tensor network methods are presented - a classical simulation approach - applied to the study of lattice gauge theories together with some results on Abelian and non-Abelian lattice gauge theories. Then, recent proposals for the implementation of lattice gauge theory quantum simulators in different quantum hardware are reported, e.g., trapped ions, Rydberg atoms, and superconducting circuits. Finally, the first proof-of-principle trapped ions experimental quantum simulations of the Schwinger model are reviewed.
Cite
@article{arxiv.1911.00003,
title = {Simulating Lattice Gauge Theories within Quantum Technologies},
author = {M. C. Bañuls and R. Blatt and J. Catani and A. Celi and J. I. Cirac and M. Dalmonte and L. Fallani and K. Jansen and M. Lewenstein and S. Montangero and C. A. Muschik and B. Reznik and E. Rico and L. Tagliacozzo and K. Van Acoleyen and F. Verstraete and U. -J. Wiese and M. Wingate and J. Zakrzewski and P. Zoller},
journal= {arXiv preprint arXiv:1911.00003},
year = {2020}
}
Comments
45 pages, 38 figures, review article