TY  - CONF
AU  - Kim, Jangho
AU  - Luu, Thomas
AU  - Unger, Wolfgang
TI  - Testing importance sampling on a quantum annealer for strong coupling SU(3) gauge theory
M1  - FZJ-2023-05089
SP  - 219
PY  - 2023
N1  - 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
AB  - $SU(N_c)$ 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.
T2  - The 40th International Symposium on Lattice Field Theory
CY  - 31 Jul 2023 - 4 Aug 2023, Fermilab (USA)
Y2  - 31 Jul 2023 - 4 Aug 2023
M2  - Fermilab, USA
LB  - PUB:(DE-HGF)8
DO  - DOI:10.34734/FZJ-2023-05089
UR  - https://juser.fz-juelich.de/record/1019026
ER  -