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The Resource Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)
Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)
Resource Information
The item Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 bigdata 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 manybody 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 nonspecialists on quantum physics to understand tensor network algorithms and the related mathematics
 Language
 eng
 Edition
 1st ed. 2020.
 Extent
 1 online resource (XIV, 150 p. 68 illus., 65 illus. in color.)
 Contents

 Introduction
 Tensor Network: Basic Definitions and Properties
 TwoDimensional Tensor Networks and Contraction Algorithms
 Tensor Network Approaches for HigherDimensional Quantum Lattice Models
 Tensor Network Contraction and MultiLinear Algebra
 Quantum Entanglement Simulation Inspired by Tensor Network
 Summary
 Isbn
 9783030344894
 Label
 Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems
 Title
 Tensor Network Contractions
 Title remainder
 Methods and Applications to Quantum ManyBody Systems
 Statement of responsibility
 by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein
 Language
 eng
 Summary
 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 bigdata 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 manybody 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 nonspecialists on quantum physics to understand tensor network algorithms and the related mathematics
 http://library.link/vocab/creatorName
 Ran, ShiJu
 Dewey number
 530.15
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 ZjhiQHzkbiU
 5esyrxE5pKU
 Tm4VpHY7faE
 KtA8xZNG9SM
 1_l7JOr3nE
 uBI9b_pd4lQ
 Image bit depth
 0
 LC call number
 QC5.53
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Tirrito, Emanuele.
 Peng, Cheng.
 Chen, Xi.
 Tagliacozzo, Luca.
 Su, Gang.
 Lewenstein, Maciej.
 Series statement
 Lecture Notes in Physics,
 Series volume
 964
 http://library.link/vocab/subjectName

 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
 Label
 Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Tensor Network: Basic Definitions and Properties  TwoDimensional Tensor Networks and Contraction Algorithms  Tensor Network Approaches for HigherDimensional Quantum Lattice Models  Tensor Network Contraction and MultiLinear Algebra  Quantum Entanglement Simulation Inspired by Tensor Network  Summary
 Dimensions
 unknown
 Edition
 1st ed. 2020.
 Extent
 1 online resource (XIV, 150 p. 68 illus., 65 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Governing access note
 Open Access
 Isbn
 9783030344894
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030344894
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)4100000010121948
 (DEHe213)9783030344894
 (EXLCZ)994100000010121948
 Label
 Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Tensor Network: Basic Definitions and Properties  TwoDimensional Tensor Networks and Contraction Algorithms  Tensor Network Approaches for HigherDimensional Quantum Lattice Models  Tensor Network Contraction and MultiLinear Algebra  Quantum Entanglement Simulation Inspired by Tensor Network  Summary
 Dimensions
 unknown
 Edition
 1st ed. 2020.
 Extent
 1 online resource (XIV, 150 p. 68 illus., 65 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Governing access note
 Open Access
 Isbn
 9783030344894
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030344894
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)4100000010121948
 (DEHe213)9783030344894
 (EXLCZ)994100000010121948
Subject
 Machine Learning
 Statistical Physics and Dynamical Systems
 Statistical physics
 Elementary particles (Physics)
 Elementary Particles, Quantum Field Theory
 Quantum physics
 Machine learning
 Mathematical Methods in Physics
 Physics
 Quantum Optics
 Quantum Physics
 Quantum field theory
 Quantum optics
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/TensorNetworkContractionsMethodsand/rEkyKaJevRQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/TensorNetworkContractionsMethodsand/rEkyKaJevRQ/">Tensor Network Contractions : Methods and Applications to Quantum ManyBody Systems, by ShiJu Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>