Simulating lattice gauge theories within quantum technologies

Mari Carmen Bañuls, Rainer Blatt, Jacopo Catani, Alessio Celi, Juan Ignacio Cirac, Marcello Dalmonte, Leonardo Fallani, Karl Jansen, Maciej Lewenstein, Simone Montangero*, Christine A. Muschik, Benni Reznik, Enrique Rico, Luca Tagliacozzo, Karel Van Acoleyen, Frank Verstraete, Uwe Jens Wiese, Matthew Wingate, Jakub Zakrzewski, Peter Zoller

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

296 Scopus citations

Abstract

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. Graphical abstract: [Figure not available: see fulltext.].

Original languageEnglish
Article number165
JournalEuropean Physical Journal D
Volume74
Issue number8
DOIs
StatePublished - 1 Aug 2020

Funding

FundersFunder number
Horizon 2020 Framework Programme653373
Seventh Framework Programme741541, 742102, 820505, 339220, 833801, 647905, 817482, 820363, 715861, 682629, 758329

    Keywords

    • Quantum Information

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