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Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis

Anthony Ciavarella, Natalie Klco, and Martin J. Savage
Phys. Rev. D 103, 094501 – Published 4 May 2021

Abstract

Maintaining local interactions in the quantum simulation of gauge field theories relegates most states in the Hilbert space to be unphysical—theoretically benign, but experimentally difficult to avoid. Reformulations of the gauge fields can modify the ratio of physical to gauge-variant states often through classically preprocessing the Hilbert space and modifying the representation of the field on qubit degrees of freedom. This paper considers the implications of representing SU(3) Yang-Mills gauge theory on a lattice of irreducible representations in both a global basis of projected global quantum numbers and a local basis in which controlled-plaquette operators support efficient time evolution. Classically integrating over the internal gauge space at each vertex (e.g., color isospin and color hypercharge) significantly reduces both the qubit requirements and the dimensionality of the unphysical Hilbert space. Initiating tuning procedures that may inform future calculations at scale, the time evolution of one and two plaquettes are implemented on one of IBM’s superconducting quantum devices, and early benchmark quantities are identified. The potential advantages of qudit environments, with either constrained two-dimensional hexagonal or one-dimensional nearest-neighbor internal state connectivity, are discussed for future large-scale calculations.

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  • Received 21 February 2021
  • Accepted 24 March 2021

DOI:https://doi.org/10.1103/PhysRevD.103.094501

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyParticles & FieldsNuclear Physics

Authors & Affiliations

Anthony Ciavarella1,*, Natalie Klco2,†, and Martin J. Savage1,‡

  • 1InQubator for Quantum Simulation (IQuS), Department of Physics, University of Washington, Seattle, Washington 98195, USA
  • 2Institute for Quantum Information and Matter (IQIM) and Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA

  • *aciavare@uw.edu
  • natklco@caltech.edu
  • mjs5@uw.edu

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Issue

Vol. 103, Iss. 9 — 1 May 2021

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