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Published September 2021 | Published + Submitted
Journal Article Open

Quantum simulation of gauge theory via orbifold lattice

Abstract

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.

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.

Attached Files

Published - Buser2021_Article_QuantumSimulationOfGaugeTheory.pdf

Submitted - 2011.06576.pdf

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Created:
August 22, 2023
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October 20, 2023