A group theoretic approach to quantum information (Record no. 559323)
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000 -LEADER | |
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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 |
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 |
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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 |