Ising Machines for Diophantine Problems in Physics

Diophantine problems arise frequently in physics, for example anomaly cancellation conditions, string consistency conditions and so forth. We present methods to solve such high order on annealers that are based the quadratic Ising Model. This is intrinsic framework both quantum annealing common forms of classical simulated annealing. demonstrate method so-called Taxicab numbers (discovering some apparently new ones), realistic problem $U(1)$ extensions Standard