Fuzzy gauge theory for quantum computers

Alexandru, Andrei; Bedaque, Paulo F.; Carosso, Andrea; Cervia, Michael J.; Murairi, Edison M.; Sheng, Andy

doi:10.1103/PhysRevD.109.094502

Title: Fuzzy gauge theory for quantum computers

Journal Article · 05 May 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.094502 · OSTI ID:2345968

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Continuous gauge theories, because of their bosonic degrees of freedom, have an infinite-dimensional local Hilbert space. Encoding these degrees of freedom on qubit-based hardware demands some sort of “qubitization” scheme, where one approximates the behavior of a theory while using only finitely many degrees of freedom. We propose a novel qubitization strategy for gauge theories, called “fuzzy gauge theory,” building on the success of the fuzzy $σ$ -model in earlier work. We provide arguments that the fuzzy gauge theory lies in the same universality class as regular gauge theory, in which case its use would obviate the need of any further limit besides the usual spatial continuum limit. Furthermore, we demonstrate that these models are relatively resource-efficient for quantum simulations. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0021143; FG02-95ER40907; FG02-93ER40762

OSTI ID:: 2345968

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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