论文标题

张量网络的数值实施的实用指南I:收缩,分解和衡量自由

A Practical Guide to the Numerical Implementation of Tensor Networks I: Contractions, Decompositions and Gauge Freedom

论文作者

Evenbly, Glen

论文摘要

我们概述了开始以数值实施张量网络方法所需的关键思想和技能,这旨在促进张量网络方法的实际应用,以针对已经熟悉其理论基础的研究人员。这些技能包括探测张量网络的收缩,最佳张量分解以及操纵张量网络中的自由度的介绍。提出的主题对于许多常见的张量网络算法,例如DMRG,TEBD,TRG,PEPS和MERA至关重要。

We present an overview of the key ideas and skills necessary to begin implementing tensor network methods numerically, which is intended to facilitate the practical application of tensor network methods for researchers that are already versed with their theoretical foundations. These skills include an introduction to the contraction of tensor networks, to optimal tensor decompositions, and to the manipulation of gauge degrees of freedom in tensor networks. The topics presented are of key importance to many common tensor network algorithms such as DMRG, TEBD, TRG, PEPS and MERA.

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