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A group theoretic approach to quantum information (Record no. 559323)

MARC details
000 -LEADER
fixed length control field 02081 a2200181 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783319452395
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.12
Item number H323g
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Hayashi, Masahito
245 ## - TITLE STATEMENT
Title A group theoretic approach to quantum information
Statement of responsibility, etc Masahito Hayashi
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer
Year of publication 2017
Place of publication Switzerland
300 ## - PHYSICAL DESCRIPTION
Number of Pages xiii, 228p
520 ## - SUMMARY, ETC.
Summary, etc This book 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.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Quantum computers
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Group theory
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 06/09/2018 60 3601.15 530.12 H323g A183788 4501.64 Books

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