Simulating lattice gauge theories within quantum technologies

被引：401

作者：

Banuls, Mari Carmen ^{[1
,2
]}

Blatt, Rainer ^{[3
,4
]}

Catani, Jacopo ^{[5
,6
,7
,8
]}

Celi, Alessio ^{[3
,9
]}

Cirac, Juan Ignacio ^{[1
,2
]}

Dalmonte, Marcello ^{[10
,11
]}

Fallani, Leonardo ^{[5
,6
,7
,8
]}

Jansen, Karl ^{[12
]}

Lewenstein, Maciej ^{[9
,13
,14
]}

Montangero, Simone ^{[15
,16
]}

Muschik, Christine A. ^{[3
]}

Reznik, Benni ^{[17
]}

Rico, Enrique ^{[18
,19
]}

Tagliacozzo, Luca ^{[20
,21
]}

Van Acoleyen, Karel ^{[22
]}

Verstraete, Frank ^{[22
,23
]}

Wiese, Uwe-Jens ^{[24
]}

Wingate, Matthew ^{[25
]}

Zakrzewski, Jakub ^{[26
,27
]}

Zoller, Peter ^{[3
]}

机构：

[1] Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany

[2] Munich Ctr Quantum Sci & Technol MCQST, Schellingstr 4, D-80799 Munich, Germany

[3] Austrian Acad Sci, Inst Quantenopt & Quanteninformat, Tech Str 21a, A-6020 Innsbruck, Austria

[4] Univ Innsbruck, Inst Experimentalphys, Tech Str 25, A-6020 Innsbruck, Austria

[5] Univ Firenze, LENS, I-50019 Sesto Fiorentino, Italy

[6] Univ Firenze, Dip Fis & Astron, I-50019 Sesto Fiorentino, Italy

[7] CNR INO, SS Sesto Fiorentino, I-50019, Sesto Fiorentino, Italy

[8] INFN Ist Nazl Fis Nucl, Sez Firenze, I-50019 Sesto Fiorentino, Italy

[9] Univ Autonoma Barcelona, Dept Fis, E-08193 Bellaterra, Spain

[10] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[11] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy

[12] DESY, NIC, Platanenallee 6, D-15738 Zeuthen, Germany

[13] Barcelona Inst Sci & Technol, ICFO Inst Ciencies Foton, Barcelona 08860, Spain

[14] ICREA, Pg Lluis Companys 23, Barcelona 08010, Spain

[15] Univ Padua, Dipartimento Fis & Astron G Galilei, I-35131 Padua, Italy

[16] INFN Ist Nazl Fis Nucl, Sez Padova, I-35131 Padua, Italy

[17] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Tel Aviv, Israel

[18] Univ Basque Country, Dept Phys Chem, UPV EHU, Apartado 644, Bilbao 48080, Spain

[19] Basque Fdn Sci, IKERBASQUE, Maria Diaz de Haro 3, E-48013 Bilbao, Spain

[20] Univ Barcelona, Dept Fis Quant & Astrofis, Marti & Franques 1, Barcelona 08028, Spain

[21] Univ Barcelona, Inst Ciencies Cosmos ICCUB, Marti & Franques 1, Barcelona 08028, Spain

[22] Univ Ghent, Dept Phys & Astron, Krijgslaan 281,S9, B-9000 Krijgslaan, Belgium

[23] Univ Vienna, Fac Phys, Vienna Ctr Quantum Sci & Technol, Boltzmanngasse 5, A-1090 Vienna, Austria

[24] Univ Bern, Albert Einstein Ctr Fundamental Phys, Inst Theoret Phys, Sidlerstr 5, CH-3012 Bern, Switzerland

[25] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

[26] Jagiellonian Univ Krakow, Inst Theoret Phys, Lojasiewicza 11, PL-30348 Krakow, Poland

[27] Jagiellonian Univ, Mark Kac Complex Syst Res Ctr, Lojasiewicza 11, PL-30348 Krakow, Poland

来源：

EUROPEAN PHYSICAL JOURNAL D | 2020年 / 74卷 / 08期

基金：

英国科学技术设施理事会; 欧洲研究理事会; 欧盟地平线“2020”;

关键词：

Quantum Information; MASSIVE SCHWINGER MODEL; ENTANGLED PAIR STATES; YANG-MILLS THEORY; ITINERANT FERROMAGNETISM; ANDERSON LOCALIZATION; FIELD THEORIES; EDGE STATES; FERMI GAS; MATRIX; DYNAMICS;

D O I：

10.1140/epjd/e2020-100571-8

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：42

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