Contribution to a conference proceedings

FZJ-2023-05089

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Testing importance sampling on a quantum annealer for strong coupling SU(3) gauge theory

Kim, J. (Corresponding author)FZJ* ; Luu, T. ; Unger, W.

2023

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Please use a persistent id in citations: doi:10.34734/FZJ-2023-05089

Abstract: $SU(N_c)$ gauge theories in the strong coupling limit can be described by integer variables representing monomers, dimers and baryon loops. We demonstrate how the D-wave quantum annealer can perform importance sampling on $U(N_c)$ gauge theory in the strong coupling formulation of this theory. In addition to causing a sign problem in importance sampling, baryon loops induce a complex QUBO matrix which cannot be optimized by the D-Wave annealer. Instead we show that simulating the sign-problem free quenched action on the D-Wave is sufficient when combined with a sign reweighting method. As the first test on $SU(3)$ gauge theory, we simulate on $2 \times 2$ lattice and compare the results with its analytic solutions.

Note: 7 pages, 3 figures, Proceedings of the 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. DFG project 443914323 - Symmetrie-verletzende hadronische Wechselwirkungen in der Gitter-QCD (A10*) (443914323) (443914323)

Appears in the scientific report 2023

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