Testing importance sampling on a quantum annealer for strong coupling SU(3) gauge theory

• URL: http://arxiv.org/abs/2311.07209v1
• Date: Mon, 13 Nov 2023 10:10:13 GMT
• Title: Testing importance sampling on a quantum annealer for strong coupling SU(3) gauge theory
• Authors: Jangho Kim, Thomas Luu, Wolfgang Unger
• Abstract summary: We demonstrate how the D-wave quantum annealer can perform importance sampling on $U(N_c)$ gauge 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.
• Score: 7.274325784456261
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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