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Quantum simulation of gauge theory via orbifold lattice

Buser, Alexander and Gharibyan, Hrant and Hanada, Masanori and Honda, Masazumi and Liu, Junyu (2020) Quantum simulation of gauge theory via orbifold lattice. . (Submitted)

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We propose a new framework for simulating U(k) Yang-Mills theory on a universal quantum computer. This construction utilizes 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 applications 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:Report or Paper (Discussion Paper)
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Liu, Junyu0000-0003-1669-8039
Additional Information: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:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
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Science and Technology Facilities Council (STFC)ST/R003599/1
Gordon and Betty Moore Foundation2644
Department of Energy (DOE)DE-NA0003525
Simons FoundationUNSPECIFIED
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Record Number:CaltechAUTHORS:20201118-105305247
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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:18 Nov 2020 19:01

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