Ising Machines for Diophantine Problems in Physics
Ising Machines for Diophantine Problems in Physics
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DOI：
10.1002/prop.202200114
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发表时间：
2022-09-11
影响因子：
3.9
通讯作者：
Nutricati, Luca A.
中科院分区：
文献类型：
--
作者：
Abel, Steven A.;Nutricati, Luca A.
丢番图问题在物理学中经常出现，例如反常抵消条件，弦一致性条件等等。我们提出的方法来解决这样的问题，以高阶的退火炉是基于二次伊辛模型。这是量子退火和常见形式的经典模拟退火的内在框架。我们展示了所谓的出租车号码（发现一些显然是新的），并在U（1）扩展的标准模型的异常取消的现实问题的方法。
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.