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Quantum simulation of gauge theory via orbifold lattice

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arxiv 2011.06576 v3 pith:25PZH6P5 submitted 2020-11-12 hep-th hep-latquant-ph

Alexander J. Buser , Hrant Gharibyan , Masanori Hanada , Masazumi Honda , Junyu Liu This is my paper · ORCID
classification hep-thhep-latquant-ph
keywords quantumtheoriessimulationyang-millscertainformulationgaugelattice
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We propose a new framework for simulating $\text{U}(k)$ 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.

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Cited by 5 Pith papers

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

  1. Universal framework with exponential speedup for the quantum simulation of quantum field theories including QCD

    quant-ph 2025-06 conditional novelty 8.0 of 10

    Fermion extensions of the orbifold-lattice simulation framework achieve O(L^d) gates per Trotter step for QCD-like theories without oracles.

  2. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 unverdicted novelty 7.0 of 10

    Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.

  3. Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations

    quant-ph 2025-06 conditional novelty 7.0 of 10

    A qudit-based circuit for SU(2) lattice gauge theory on a cube, with improved decompositions for uniformly-controlled rotations and new elementary-gate resource estimates.

  4. Obtaining continuum physics from dynamical simulations of Hamiltonian lattice gauge theories

    hep-lat 2025-06 conditional novelty 6.0 of 10

    The paper introduces the SBTE protocol, which treats approximate time evolution error as negligible once it is below statistical uncertainty, and shows this makes continuum-limit renormalization in lattice gauge theor...

  5. Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice

    quant-ph 2025-05 conditional novelty 6.0 of 10

    The Kogut-Susskind Hamiltonian is recovered from the orbifold lattice Hamiltonian in the infinite scalar mass limit, with numerical confirmation for SU(2) and SU(3) Yang-Mills theory in 2+1 dimensions.

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