挥手和解释性舞蹈：张量网络入门课程
Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
摘要：
与自旋系统的希尔伯特空间相关的维数灾难为凝聚态系统的研究提供了一个重要的障碍。张量网络已被证明是一个重要的工具，试图克服这一困难的数值和分析制度。这些笔记构成了七堂课的基础，介绍了一系列常见张量网络和算法的基础知识。特别是，我们涵盖：介绍张量网络符号，应用于量子信息，矩阵乘积状态的基本属性，量子相位的分类使用张量网络，算法寻找矩阵乘积状态，基本属性的投影纠缠对状态，和多尺度纠缠重正化anomalisation状态。讲座的目的是一般访问，虽然许多例子的相关性可能会失去对学生没有多体物理学/量子信息的背景。每堂课都会给出几个问题，并在一个辅助文件中给出解决方案。
英文摘要：
The curse of dimensionality associated with the Hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. Tensor networks have proven an important tool in attempting to overcome this difficulty in both the numerical and analytic regimes. These notes form the basis for a seven lecture course, introducing the basics of a range of common tensor networks and algorithms. In particular, we cover: introductory tensor network notation, applications to quantum information, basic properties of matrix product states, a classification of quantum phases using tensor networks, algorithms for finding matrix product states, basic properties of projected entangled pair states, and multiscale entanglement renormalisation ansatz states. The lectures are intended to be generally accessible, although the relevance of many of the examples may be lost on students without a background in many-body physics/quantum information. For each lecture, several problems are given, with worked solutions in an ancillary file.
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。
