Tensor Network Contractions : Methods and Applications to Quantum Many-Body Systems /

Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic...

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Bibliographic Details
Main Authors:	Ran, Shi-Ju (Author), Tirrito, Emanuele (Author), Peng, Cheng (Author), Chen, Xi (Author), Tagliacozzo, Luca (Author), Su, Gang (Author), Lewenstein, Maciej (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition:	1st ed. 2020.
Series:	Lecture Notes in Physics, 964
Subjects:	Physics. Quantum physics. Quantum optics. Statistical physics. Machine learning. Elementary particles (Physics). Quantum field theory. Mathematical Methods in Physics. Quantum Physics. Quantum Optics. Statistical Physics and Dynamical Systems. Machine Learning. Elementary Particles, Quantum Field Theory. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Introduction
Tensor Network: Basic Definitions and Properties
Two-Dimensional Tensor Networks and Contraction Algorithms
Tensor Network Approaches for Higher-Dimensional Quantum Lattice Models
Tensor Network Contraction and Multi-Linear Algebra
Quantum Entanglement Simulation Inspired by Tensor Network
Summary.