東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

A group theoretic approach to quantu...

Hayashi, Masahito.

FindBook

Google Book

Amazon

博客來

A group theoretic approach to quantum information

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A group theoretic approach to quantum information/ by Masahito Hayashi.
作者:	Hayashi, Masahito.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xiii, 228 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Physics. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-45241-8
ISBN:	9783319452418

A group theoretic approach to quantum information
Hayashi, Masahito.

A group theoretic approach to quantum information[electronic resource] /by Masahito Hayashi. - Cham :Springer International Publishing :2017. - xiii, 228 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319452418

Standard No.: 10.1007/978-3-319-45241-8doiSubjects--Topical Terms:

516296
Physics.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

A group theoretic approach to quantum information
LDR:02862nmm a2200313 a 4500 001 2088266
003 DE-He213
005 20161031120007.0
006 m d
007 cr nn 008maaau
008 171013s2017 gw s 0 eng d
020 $a 9783319452418 $q (electronic bk.)
020 $a 9783319452395 $q (paper)
024 7 $a 10.1007/978-3-319-45241-8 $2 doi
035 $a 978-3-319-45241-8
040 $a GP $c GP
041 1 $a eng $h jpn
050 4 $a QC174.12
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .H413 2017
100 1 $a Hayashi, Masahito. $3 778417
245 1 2 $a A group theoretic approach to quantum information $h [electronic resource] / $c by Masahito Hayashi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xiii, 228 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Physics. $3 516296
650 0 $a Group theory. $3 523248
650 0 $a Quantum computers. $3 535318
650 0 $a Quantum theory. $3 516552
650 0 $a Spintronics. $3 605798
650 0 $a System safety. $3 860861
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Quantum Information Technology, Spintronics. $3 1067172
650 2 4 $a Quantum Computing. $3 1620399
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Security Science and Technology. $3 1531662
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-45241-8
950 $a Physics and Astronomy (Springer-11651)