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Fuzzy gauge theory for quantum computers

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arxiv 2308.05253 v4 pith:GB2A66Z4 submitted 2023-08-09 hep-lat hep-thnucl-thquant-ph

classification hep-lathep-thnucl-thquant-ph
keywords gaugetheoryfuzzydegreesfreedomlimitquantumqubitization
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

  2. Quantum computation of hadron scattering in a lattice gauge theory

    quant-ph 2025-05 conditional novelty 6.0 of 10

    On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.

  3. Qubit Regularization of Quantum Field Theories

    hep-lat 2025-02 conditional novelty 5.0 of 10

    Asymptotically free QFTs can appear as crossover phenomena from decoupled critical points in finite-dimensional qubit models, and a monomer-dimer-tensor-network basis offers new qubit-regularized lattice gauge theories.

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