Fuzzy gauge theory for quantum computers

• URL: http://arxiv.org/abs/2308.05253v4
• Date: Tue, 24 Sep 2024 22:01:02 GMT
• Title: Fuzzy gauge theory for quantum computers
• Authors: Andrei Alexandru, Paulo F. Bedaque, Andrea Carosso, Michael J. Cervia, Edison M. Murairi, Andy Sheng,
• Abstract summary: Continuous gauge theories have an infinite-dimensional local Hilbert space. We propose a novel qubitization scheme for gauge theories, called fuzzy gauge theory''
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 $\sigma$-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.

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