Simulating lattice gauge theories within quantum technologies

Year: 2020

Authors: Banuls MC., Blatt R., Catani J., Celi A., Cirac JI., Dalmonte M., Fallani L., Jansen K., Lewenstein M., Montangero S., Muschik CA., Reznik B., Rico E., Tagliacozzo L., Van Acoleyen K., Verstraete F., Wiese UJ., Wingate M., Zakrzewski J., Zoller P.

Autors Affiliation: Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany;‎ Munich Ctr Quantum Sci & Technol MCQST, Schellingstr 4, D-80799 Munich, Germany; Austrian Acad Sci, Inst Quantenopt & Quanteninformat, Tech Str 21a, A-6020 Innsbruck, Austria;‎ Univ Innsbruck, Inst Experimentalphys, Tech Str 25, A-6020 Innsbruck, Austria; Univ Firenze, LENS, I-50019 Sesto Fiorentino, Italy; Univ Firenze, Dip Fis & Astron, I-50019 Sesto Fiorentino, Italy; CNR INO, SS Sesto Fiorentino, I-50019, Sesto Fiorentino, Italy; INFN Ist Nazl Fis Nucl, Sez Firenze, I-50019 Sesto Fiorentino, Italy; Univ Autonoma Barcelona, Dept Fis, E-08193 Bellaterra, Spain;‎ SISSA, Via Bonomea 265, I-34136 Trieste, Italy; Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy; DESY, NIC, Platanenallee 6, D-15738 Zeuthen, Germany; Barcelona Inst Sci & Technol, ICFO Inst Ciencies Foton, Barcelona 08860, Spain;‎ ICREA, Pg Lluis Companys 23, Barcelona 08010, Spain; Univ Padua, Dipartimento Fis & Astron G Galilei, I-35131 Padua, Italy; INFN Ist Nazl Fis Nucl, Sez Padova, I-35131 Padua, Italy; Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Tel Aviv, Israel; Univ Basque Country, Dept Phys Chem, UPV EHU, Apartado 644, Bilbao 48080, Spain; Basque Fdn Sci, IKERBASQUE, Maria Diaz de Haro 3, E-48013 Bilbao, Spain;‎ Univ Barcelona, Dept Fis Quant & Astrofis, Marti & Franques 1, Barcelona 08028, Spain;‎ Univ Barcelona, Inst Ciencies Cosmos ICCUB, Marti & Franques 1, Barcelona 08028, Spain;‎ Univ Ghent, Dept Phys & Astron, Krijgslaan 281,S9, B-9000 Krijgslaan, Belgium; Univ Vienna, Fac Phys, Vienna Ctr Quantum Sci & Technol, Boltzmanngasse 5, A-1090 Vienna, Austria;‎ Univ Bern, Albert Einstein Ctr Fundamental Phys, Inst Theoret Phys, Sidlerstr 5, CH-3012 Bern, Switzerland;‎ Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England:‎ Jagiellonian Univ Krakow, Inst Theoret Phys, Lojasiewicza 11, PL-30348 Krakow, Poland; Jagiellonian Univ, Mark Kac Complex Syst Res Ctr, Lojasiewicza 11, PL-30348 Krakow, Poland

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.

Journal/Review: EUROPEAN PHYSICAL JOURNAL D

Volume: 74 (8)      Pages from: 165-1  to: 165-42

More Information: Open Access funding provided by Universita degli Studi di Padova, within the CRUI-CARE Agreement. M.C.B. is partly supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany´s Excellence Strategy – EXC-2111-390814868. The research at Innsbruck is supported by the ERC Synergy Grant UQUAM, by the European Research Council (ERC) under the European Union Horizon 2020 research and innovation programme under Grant Agreement No. 741541, the SFB FoQuS (FWF Project No. F4016-N23), and the Quantum Flagship PASQUANS. Florence acknowledges financial support from ERC Consolidator Grant TOPSIM, INFN project FISH, MIUR project FARE TOPSPACE and MIUR PRIN project 2015C5SEJJ. A.C. acknowledges financial support from Talent Research program of the Universitat Autonoma de Barcelona and from the Spanish Ministry of Economy and Competitiveness under Contract No. FIS2017-86530-P. A.C. and M.L. acknowledge financial support from the European Union Regional Development Fund – ERDF Operational Program of Catalonia 2014-2020 (Operation Code:IU16-011424). JIC is partially supported by the EU, ERC Grant QUENOCOBA 742102. MD is supported by the ERC under Grant No. 758329 (AGEnTh), and has received funding from the European Union Horizon 2020 research and innovation program under Grant agreement No. 817482. M.L. acknowledges support by the Spanish Ministry MINECO (National Plan 15 Grant: FISICATEAMO No. FIS2016-79508-P, SEVERO OCHOA No. SEV-2015-0522, FPI), European Social Fund, Fundacio Cellex, Generalitat de Catalunya (AGAUR Grant No. 2017 SGR 1341 and CERCA/Program), ERC AdG OSYRIS and NOQIA, and the National Science Centre, Poland-Symfonia Grant No. 2016/20/W/ST4/00314. S.M. acknowledges support from INFN, the MIUR via the PRIN 2017, the EU Quantum Flagship project PASQUANS and the QuantERA project QuantHEP, and the DFG via the Twitter project. E.R. acknowledges financial support from Spanish Government PGC2018-095113-B-I00 (MCIU/AEI/FEDER, UE), Basque Government IT986-16, as well as from QMiCS (820505) and OpenSuperQ (820363) of the EU Flagship on Quantum Technologies, EU FET-Open Grant Quromorphic, and the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research (ASCR) quantum algorithm teams program, under field work proposal number ERKJ333. LT is supported by the MINECO RYC-2016-20594 fellowship and the MINECO PGC2018-095862-B-C22 grant. The research at Gent was made possible through the support of the ERC grants QUTE (647905), ERQUAF (715861). J.Z. acknowledges support by PLGrid Infrastructure and by National Science Centre (Poland) under project 2017/25/Z/ST2/03029. U.-J. Wiese acknowledges funding from the Schweizerischer National fonds and from the European Research Council under the European Union Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 339220. M.W. acknowledges support from STFC consolidated grant ST/P000681/1. All the authors acknowledge the participation in the EU-QuantERA project QTFLAG.
KeyWords: Quantum Information
DOI: 10.1140/epjd/e2020-100571-8

Citations: 164
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