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000928548 020__ $$a9783030344894
000928548 020__ $$a3030344894
000928548 020__ $$z9783030344887
000928548 0248_ $$a10.1007/978-3-030-34
000928548 035__ $$aSP(OCoLC)on1137851349
000928548 035__ $$aSP(OCoLC)1137851349
000928548 040__ $$aLQU$$beng$$cLQU$$dLEATE$$dOCLCO$$dGW5XE$$dOCLCO$$dOCLCF$$dEBLCP
000928548 049__ $$aISEA
000928548 050_4 $$aQC174.17.P7
000928548 08204 $$a530.15
000928548 1001_ $$aRan, Shi-Ju.
000928548 24510 $$aTensor Network Contractions :$$bMethods and Applications to Quantum Many-Body Systems /$$cShi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein.
000928548 264_1 $$aCham :$$bSpringer,$$c2020.
000928548 300__ $$a1 online resource (xiv, 150 pages) :$$billustrations.
000928548 336__ $$atext$$btxt$$2rdacontent
000928548 337__ $$acomputer$$bc$$2rdamedia
000928548 338__ $$aonline resource$$bcr$$2rdacarrier
000928548 4901_ $$aLecture notes in physics ;$$vv. 964
000928548 504__ $$aIncludes bibliographical references and index.
000928548 5050_ $$aIntroduction -- 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.
000928548 506__ $$aAccess limited to authorized users.
000928548 520__ $$aTensor 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.
000928548 650_0 $$aMany-body problem.
000928548 650_0 $$aPhysics$$vTextbooks.
000928548 650_0 $$aTensor algebra.
000928548 650_0 $$aQuantum theory.
000928548 650_0 $$aQuantum optics.
000928548 650_0 $$aStatistical physics.
000928548 650_0 $$aMachine learning.
000928548 650_0 $$aParticles (Nuclear physics)
000928548 650_0 $$aQuantum field theory.
000928548 7001_ $$aTirrito, Emanuele.
000928548 7001_ $$aPeng, Cheng.
000928548 7001_ $$aChen, Xi.
000928548 7001_ $$aTagliacozzo, Luca.
000928548 7001_ $$aSu, Gang.
000928548 7001_ $$aLewenstein, Maciej.
000928548 830_0 $$aLecture notes in physics ;$$vv. 964.
000928548 852__ $$bebk
000928548 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-34489-4$$zOnline Access$$91397441.1
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000928548 980__ $$aEBOOK
000928548 980__ $$aBIB
000928548 982__ $$aEbook
000928548 983__ $$aOnline
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