非结构张量网络的自动收缩
Automatic Contraction of Unstructured Tensor Networks
摘要：
配分函数的计算是统计物理学中的一个中心问题。对于格系统和其他离散模型，配分函数可以表示为张量网络的收缩。不幸的是，计算这样的收缩是困难的，并且许多使其易于处理的方法需要周期性的或以其他方式结构化的网络。在这里，我提出了一个新的算法收缩非结构化张量网络。该方法对网络结构没有任何假设，只要相关结构是局部的，在结构化和非结构化的情况下都能很好地执行。
英文摘要：
The evaluation of partition functions is a central problem in statistical physics. For lattice systems and other discrete models the partition function may be expressed as the contraction of a tensor network. Unfortunately computing such contractions is difficult, and many methods to make this tractable require periodic or otherwise structured networks. Here I present a new algorithm for contracting unstructured tensor networks. This method makes no assumptions about the structure of the network and performs well in both structured and unstructured cases so long as the correlation structure is local.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
