%0 Conference Paper
%A Kim, Jangho
%A Luu, Thomas
%A Unger, Wolfgang
%T Testing importance sampling on a quantum annealer for strong coupling SU(3) gauge theory
%M FZJ-2023-05089
%P 219
%D 2023
%Z 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
%X $SU(N_c)$ 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.
%B The 40th International Symposium on Lattice Field Theory
%C 31 Jul 2023 - 4 Aug 2023, Fermilab (USA)
Y2 31 Jul 2023 - 4 Aug 2023
M2 Fermilab, USA
%F PUB:(DE-HGF)8
%9 Contribution to a conference proceedings
%R 10.34734/FZJ-2023-05089
%U https://juser.fz-juelich.de/record/1019026