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High Energy Physics - Theory
Title: Ising Machines for Diophantine Problems in Physics
(Submitted on 20 Jun 2022 (v1), last revised 19 Jul 2022 (this version, v2))
Abstract: Diophantine problems arise frequently in physics, in for example anomaly cancellation conditions, string consistency conditions and so forth. We present methods to solve such problems to high order on annealers that are based on the quadratic Ising Model. This is the intrinsic framework for both quantum annealing and for common forms of classical simulated annealing. We demonstrate the method on so-called Taxicab numbers (discovering some apparently new ones), and on the realistic problem of anomaly cancellation in $U(1)$ extensions of the Standard Model.
Submission history
From: Steven Abel [view email][v1] Mon, 20 Jun 2022 18:33:26 GMT (10330kb,D)
[v2] Tue, 19 Jul 2022 11:15:04 GMT (10330kb,D)
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