A practical introduction to tensor networks: Matrix product states and projected entangled pair states

被引：1425
作者：
Orus, Roman [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
来源：
ANNALS OF PHYSICS | 2014年 / 349卷
关键词：
Tensor networks; MPS; PEPS; Entanglement; RENORMALIZATION-GROUP; FLOW-EQUATIONS; GAUGE-THEORY; LATTICE; THERMODYNAMICS; ALGORITHM; SYSTEMS; CHAIN;
D O I：
10.1016/j.aop.2014.06.013
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：117 / 158
页数：42
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