论文标题

物理学中养分问题的机器

Ising Machines for Diophantine Problems in Physics

论文作者

Abel, Steven, Nutricati, Luca A.

论文摘要

养生问题经常出现在物理学中,例如取消异常情况,弦一致性条件等。我们提出了解决基于二次ISING模型的退火器上的高阶方法来解决此类问题的方法。这是量子退火和经典模拟退火的常见形式的内在框架。我们演示了所谓的出租车号码(发现一些新的)方法,以及在$ U(1)$扩展标准模型中取消异常的现实问题。

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.

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