A practical introduction to tensor networks: Matrix product states and projected entangled pair states
A practical introduction to tensor networks: Matrix product states and projected entangled pair states
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DOI：
10.1016/j.aop.2014.06.013
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发表时间：
2014-10-01
影响因子：
3
通讯作者：
Orus, Roman
中科院分区：
文献类型：
--
作者：
Orus, Roman
这是对张量网络方法精选主题的部分非技术性介绍，基于几次关于该主题的讲座和介绍性研讨会。对于新手来说，这应该是一个熟悉该领域一些关键思想的好地方，特别是关于数字的。在简单介绍张量网络的概念之后，我们给出了张量网络的几个例子。然后，我们继续解释一些关于矩阵乘积状态(MPS)和投影纠缠对状态(PEPS)的基本知识。文中还讨论了ID和2D量子晶格系统的一些相关数值方法的细节。(C)2014 Elsevier Inc.保留所有权利。
This is a partly non-technical introduction to selected topics on tensor network methods, based on several lectures and introductory seminars given on the subject. It should be a good place for newcomers to get familiarized with some of the key ideas in the field, specially regarding the numerics. After a very general introduction we motivate the concept of tensor network and provide several examples. We then move on to explain some basics about Matrix Product States (MPS) and Projected Entangled Pair States (PEPS). Selected details on some of the associated numerical methods for Id and 2d quantum lattice systems are also discussed. (C) 2014 Elsevier Inc. All rights reserved.