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Quantum simulation of gauge theory via orbifold lattice

Buser, Alexander J. and Gharibyan, Hrant and Hanada, Masanori and Honda, Masazumi and Liu, Junyu (2021) Quantum simulation of gauge theory via orbifold lattice. Journal of High Energy Physics, 2021 (9). Art. No. 34. ISSN 1126-6708. doi:10.1007/JHEP09(2021)034.

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We propose a new framework for simulating U(k) Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.

Item Type:Article
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URLURL TypeDescription Paper
Buser, Alexander J.0000-0002-4051-3340
Hanada, Masanori0000-0001-5174-2571
Honda, Masazumi0000-0001-6935-5609
Liu, Junyu0000-0003-1669-8039
Additional Information:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received 05 July 2021; Accepted 10 August 2021; Published 06 September 2021. We thank Daisuke Kadoh, David B. Kaplan, Ami Katz, So Matsuura, John Preskill, Fumihiko Sugino, and Mithat Unsal for useful discussions. The work of M. Hanada was supported by the STFC Ernest Rutherford Grant ST/R003599/1. He thanks Yukawa Institute for Theoretical Physics for the hospitality during his stay in the summer of 2020. H.G. is supported by the Simons Foundation through the It from Qubit collaboration. M. Honda is partially supported by MEXT Q-LEAP. JL is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), by the Walter Burke Institute for Theoretical Physics, and by Sandia Quantum Optimization & Learning & Simulation, DOE Award #DE-NA0003525.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Science and Technology Facilities Council (STFC)ST/R003599/1
Simons FoundationUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-NA0003525
Subject Keywords:Lattice Quantum Field Theory; Matrix Models
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Issue or Number:9
Record Number:CaltechAUTHORS:20201118-105305247
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Official Citation:Buser, A.J., Gharibyan, H., Hanada, M. et al. Quantum simulation of gauge theory via orbifold lattice. J. High Energ. Phys. 2021, 34 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106723
Deposited By: Joy Painter
Deposited On:18 Nov 2020 19:01
Last Modified:13 Sep 2021 22:11

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