Coverart for item
The Resource Tensor Network Contractions : Methods and Applications to Quantum Many-Body Systems, by Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)

Tensor Network Contractions : Methods and Applications to Quantum Many-Body Systems, by Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)

Label
Tensor Network Contractions : Methods and Applications to Quantum Many-Body Systems
Title
Tensor Network Contractions
Title remainder
Methods and Applications to Quantum Many-Body Systems
Statement of responsibility
by Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein
Creator
Contributor
Author
Author
Subject
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 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
Member of
http://library.link/vocab/creatorName
Ran, Shi-Ju
Dewey number
530.15
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
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  • ZjhiQHzkbiU
  • 5esyrxE5pKU
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  • KtA8xZNG9SM
  • 1-_l7JOr3nE
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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 Many-Body Systems, by Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)
Instantiates
Publication
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 -- 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
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
10.1007/978-3-030-34489-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000010121948
  • (DE-He213)978-3-030-34489-4
  • (EXLCZ)994100000010121948
Label
Tensor Network Contractions : Methods and Applications to Quantum Many-Body Systems, by Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, Maciej Lewenstein, (electronic resource)
Publication
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 -- 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
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
10.1007/978-3-030-34489-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000010121948
  • (DE-He213)978-3-030-34489-4
  • (EXLCZ)994100000010121948

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