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

Ciavarella, Anthony; Klco, Natalie; Savage, Martin J.

doi:10.1103/physrevd.103.094501

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

Journal Article · Tue May 04 00:00:00 EDT 2021 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.103.094501· OSTI ID:1785553

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Univ. of Washington, Seattle, WA (United States). Dept. of Physics, InQubator for Quantum Simulation (IQUS); University of Washington
California Institute of Technology (CalTech), Pasadena, CA (United States). Institute for Quantum Information and Matter (IQIM) and Walter Burke Institute for Theoretical Physics
Univ. of Washington, Seattle, WA (United States). Dept. of Physics, InQubator for Quantum Simulation (IQUS)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0020970

OSTI ID:: 1785553

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 103; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Hamiltonian Simulation by Qubitization Low, Guang Hao; Chuang, Isaac L. Quantum, Vol. 3 https://doi.org/10.22331/q-2019-07-12-163	journal	July 2019
Quantum Algorithms for Simulating the Lattice Schwinger Model Shaw, Alexander F.; Lougovski, Pavel; Stryker, Jesse R. Quantum, Vol. 4 https://doi.org/10.22331/q-2020-08-10-306	journal	August 2020
A resource efficient approach for quantum and classical simulations of gauge theories in particle physics Haase, Jan F.; Dellantonio, Luca; Celi, Alessio Quantum, Vol. 5 https://doi.org/10.22331/q-2021-02-04-393	journal	February 2021
Quantum computation of scattering in scalar quantum field theories Jordan, Stephen P.; Lee, Keith S. M.; Preskill, John Quantum Information and Computation, Vol. 14, Issue 11&12 https://doi.org/10.26421/QIC14.11-12-8	journal	September 2014

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SU(2) lattice gauge theory on a quantum annealer A. Rahman, Sarmed; Lewis, Randy; Mendicelli, Emanuele Physical Review D, Vol. 104, Issue 3 https://doi.org/10.1103/physrevd.104.034501	journal	August 2021
SU(2) hadrons on a quantum computer Atas, Yasar; Zhang, Jinglei; Lewis, Randy arXiv https://doi.org/10.48550/arxiv.2102.08920	text	January 2021
Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term Honda, Masazumi; Itou, Etsuko; Kikuchi, Yuta arXiv https://doi.org/10.48550/arxiv.2105.03276	text	January 2021
Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer Rahman, Sarmed A.; Lewis, Randy; Mendicelli, Emanuele arXiv https://doi.org/10.48550/arxiv.2205.09247	text	January 2022

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