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Maciej Lewenstein Gang Su Luca Tagliacozz Tensor Network Contraction (Paperback)

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Book Title
Tensor Network Contractions
Title
Tensor Network Contractions
ISBN-10
1013273621
EAN
9781013273629
ISBN
9781013273629
Genre
Science Nature & Math
Release Date
08/10/2020
Release Year
2020
Item Length
216mm
Publication Year
2020
Type
Textbook
Format
Paperback
Language
English
Publication Name
Tensor Network Contractions
Item Height
280 mm
Author
Luca Tagliacozzo, Gang Su, Maciej Lewenstein
Publisher
Saint Philips Street Press
Subject
Physics
Item Weight
386 g
Item Width
216 mm
Number of Pages
160 Pages

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Product Information

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 way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Product Identifiers

Publisher
Saint Philips Street Press
ISBN-13
9781013273629
eBay Product ID (ePID)
26046530635

Product Key Features

Publication Year
2020
Subject
Physics
Number of Pages
160 Pages
Language
English
Publication Name
Tensor Network Contractions
Type
Textbook
Author
Luca Tagliacozzo, Gang Su, Maciej Lewenstein
Format
Paperback

Dimensions

Item Height
280 mm
Item Weight
386 g
Item Width
216 mm

Additional Product Features

Title_Author
Gang Su, Maciej Lewenstein, Luca Tagliacozzo

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