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The Resource A Group Theoretic Approach to Quantum Information, by Masahito Hayashi, (electronic resource)

A Group Theoretic Approach to Quantum Information, by Masahito Hayashi, (electronic resource)

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A Group Theoretic Approach to Quantum Information
Title
A Group Theoretic Approach to Quantum Information
Statement of responsibility
by Masahito Hayashi
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Language
eng
Summary
This textbook is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory
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non fiction
A Group Theoretic Approach to Quantum Information, by Masahito Hayashi, (electronic resource)
Label
A Group Theoretic Approach to Quantum Information, by Masahito Hayashi, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-45241-8
Publication
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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
Foundation of Quantum Theory -- Quantum Channel, Information Quantities, and Their Mathematical Structure -- Quantum Entanglement and Its Quantification -- Group Covariance and Optimal Information Processing -- Quantum Error Correcting Code and Its Application -- Universal Information Processings
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319452418&userID=ebsco-test&password=ebsco-test
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unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4257763'}
Extent
XIII, 228 p. 32 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319452418
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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