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

Ciavarella, Anthony and Klco, Natalie and Savage, Martin J. (2021) Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis. Physical Review D, 103 (9). Art. No. 094501. ISSN 2470-0010. doi:10.1103/physrevd.103.094501.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Ciavarella, Anthony0000-0003-3918-4110
Klco, Natalie0000-0003-2534-876X
Savage, Martin J.0000-0001-6502-7106
Additional Information:© 2021 American Physical Society. Received 21 February 2021; accepted 24 March 2021; published 4 May 2021. We would like to thank Silas Beane, Doug Beck, David Kaplan, Aidan Murran, and Alessandro Roggero for valuable discussions. We acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors, and do not reflect the official policy or position of IBM or the IBM Quantum team. Data presented throughout this manuscript is available upon email request. A. C. was supported in part by Fermi National Accelerator Laboratory PO No. 652197. N. K. is supported in part by the Walter Burke Institute for Theoretical Physics, and by the U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research, (DE-SC0020290), and Office of High Energy Physics DE-ACO2-07CH11359. M. J. S. was supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, Inqubator for Quantum Simulation (IQuS) under Award Number DOE (NP) Award No. DE-SC0020970.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0020290
Department of Energy (DOE)DE-AC02-07CH11359
Department of Energy (DOE)DE-SC0020970
Issue or Number:9
Record Number:CaltechAUTHORS:20210512-080651380
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109088
Deposited By: Tony Diaz
Deposited On:12 May 2021 16:08
Last Modified:12 May 2021 16:08

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