Simulating lattice gauge theories within quantum technologies

Bañuls, Mari Carmen; Blatt, Rainer; Catani, Jacopo; Celi, Alessio; Cirac, Juan Ignacio; Dalmonte, Marcello; Fallani, Leonardo; Jansen, Karl; Lewenstein, Maciej; Montangero, Simone; Muschik, Christine A.; Reznik, Benni; Rico, Enrique; Tagliacozzo, Luca; Van Acoleyen, Karel; Verstraete, Frank; Wiese, Uwe-Jens; Wingate, Matthew; Zakrzewski, Jakub and Zoller, Peter (2020). Simulating lattice gauge theories within quantum technologies. The European physical journal D, 74(8) Springer 10.1140/epjd/e2020-100571-8

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

1434-6060

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

16 Nov 2020 14:33

Last Modified:

22 Nov 2020 02:50

Publisher DOI:

10.1140/epjd/e2020-100571-8

ArXiv ID:

1911.00003

BORIS DOI:

10.7892/boris.147987

URI:

https://boris.unibe.ch/id/eprint/147987

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