Quantum Systems, Channels and Information : (Record no. 81031)

MARC details
000 -LEADER
fixed length control field 08907nam a22005173i 4500
001 - CONTROL NUMBER
control field EBC893249
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20191126111354.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191125s2012 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783110273403
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9783110273250
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC893249
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL893249
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10649278
035 ## - SYSTEM CONTROL NUMBER
System control number (CaONFJC)MIL503219
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)824530482
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC28 -- .K53613 2012eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Holevo, Alexander S.
9 (RLIN) 73028
245 10 - TITLE STATEMENT
Title Quantum Systems, Channels and Information :
Remainder of title A Mathematical Introduction.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Berlin/Boston :
Name of producer, publisher, distributor, manufacturer De Gruyter, Inc.,
Date of production, publication, distribution, manufacture, or copyright notice 2012.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2013.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (349 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement De Gruyter Studies in Mathematical Physics Ser. ;
Volume/sequential designation v.16
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Preface -- I Basic structures -- 1 Vectors and operators -- 1.1 Hilbert space -- 1.2 Operators -- 1.3 Positivity -- 1.4 Trace and duality -- 1.5 Convexity -- 1.6 Notes and references -- 2 States, observables, statistics -- 2.1 Structure of statistical theories -- 2.1.1 Classical systems -- 2.1.2 Axioms of statistical description -- 2.2 Quantum states -- 2.3 Quantum observables -- 2.3.1 Quantum observables from the axioms -- 2.3.2 Compatibility and complementarity -- 2.3.3 The uncertainty relation -- 2.3.4 Convex structure of observables -- 2.4 Statistical discrimination between quantum states -- 2.4.1 Formulation of the problem -- 2.4.2 Optimal observables -- 2.5 Notes and references -- 3 Composite systems and entanglement -- 3.1 Composite systems -- 3.1.1 Tensor products -- 3.1.2 Naimark's dilation -- 3.1.3 Schmidt decomposition and purification -- 3.2 Quantum entanglement vs "local realism" -- 3.2.1 Paradox of Einstein-Podolski-Rosen and Bell's inequalities -- 3.2.2 Mermin-Peres game -- 3.3 Quantum systems as information carriers -- 3.3.1 Transmission of classical information -- 3.3.2 Entanglement and local operations -- 3.3.3 Superdense coding -- 3.3.4 Quantum teleportation -- 3.4 Notes and references -- II The primary coding theorems -- 4 Classical entropy and information -- 4.1 Entropy of a random variable and data compression -- 4.2 Conditional entropy and the Shannon information -- 4.3 The Shannon capacity of the classical noisy channel -- 4.4 The channel coding theorem -- 4.5 Wiretap channel -- 4.6 Gaussian channel -- 4.7 Notes and references -- 5 The classical-quantum channel -- 5.1 Codes and achievable rates -- 5.2 Formulation of the coding theorem -- 5.3 The upper bound -- 5.4 Proof of the weak converse -- 5.5 Typical projectors -- 5.6 Proof of the Direct Coding Theorem -- 5.7 The reliability function for pure-state channel.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5.8 Notes and references -- III Channels and entropies -- 6 Quantum evolutions and channels -- 6.1 Quantum evolutions -- 6.2 Completely positive maps -- 6.3 Definition of the channel -- 6.4 Entanglement-breaking and PPT channels -- 6.5 Quantum measurement processes -- 6.6 Complementary channels -- 6.7 Covariant channels -- 6.8 Qubit channels -- 6.9 Notes and references -- 7 Quantum entropy and information quantities -- 7.1 Quantum relative entropy -- 7.2 Monotonicity of the relative entropy -- 7.3 Strong subadditivity of the quantum entropy -- 7.4 Continuity properties -- 7.5 Information correlation, entanglement of formation and conditional entropy -- 7.6 Entropy exchange -- 7.7 Quantum mutual information -- 7.8 Notes and references -- IV Basic channel capacities -- 8 The classical capacity of quantum channel -- 8.1 The coding theorem -- 8.2 The χ - capacity -- 8.3 The additivity problem -- 8.3.1 The effect of entanglement in encoding and decoding -- 8.3.2 A hierarchy of additivity properties -- 8.3.3 Some entropy inequalities -- 8.3.4 Additivity for complementary channels -- 8.3.5 Nonadditivity of quantum entropy quantities -- 8.4 Notes and references -- 9 Entanglement-assisted classical communication -- 9.1 The gain of entanglement assistance -- 9.2 The classical capacities of quantum observables -- 9.3 Proof of the Converse Coding Theorem -- 9.4 Proof of the Direct Coding Theorem -- 9.5 Notes and references -- 10 Transmission of quantum information -- 10.1 Quantum error-correcting codes -- 10.1.1 Error correction by repetition -- 10.1.2 General formulation -- 10.1.3 Necessary and sufficient conditions for error correction -- 10.1.4 Coherent information and perfect error correction -- 10.2 Fidelities for quantum information -- 10.2.1 Fidelities for pure states -- 10.2.2 Relations between the fidelity measures.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 10.2.3 Fidelity and the Bures distance -- 10.3 The quantum capacity -- 10.3.1 Achievable rates -- 10.3.2 The quantum capacity and the coherent information -- 10.3.3 Degradable channels -- 10.4 The private classical capacity and the quantum capacity -- 10.4.1 The quantum wiretap channel -- 10.4.2 Proof of the Private Capacity Theorem -- 10.4.3 Large deviations for random operators -- 10.4.4 The Direct Coding Theorem for the quantum capacity -- 10.5 Notes and references -- V Infinite systems -- 11 Channels with constrained inputs -- 11.1 Convergence of density operators -- 11.2 Quantum entropy and relative entropy -- 11.3 Constrained c-q channel -- 11.4 Classical-quantum channel with continuous alphabet -- 11.5 Constrained quantum channel -- 11.6 Entanglement-assisted capacity of constrained channels -- 11.7 Entanglement-breaking channels in infinite dimensions -- 11.8 Notes and references -- 12 Gaussian systems -- 12.1 Preliminary material -- 12.1.1 Spectral decomposition and Stone's Theorem -- 12.1.2 Operators associated with the Heisenberg commutation relation -- 12.1.3 Classical signal plus quantum noise -- 12.1.4 The classical-quantum Gaussian channel -- 12.2 Canonical commutation relations -- 12.2.1 Weyl-Segal CCR -- 12.2.2 The symplectic space -- 12.2.3 Dynamics, quadratic operators and gauge transformations -- 12.3 Gaussian states -- 12.3.1 Characteristic function -- 12.3.2 Definition and properties of Gaussian states -- 12.3.3 The density operator of Gaussian state -- 12.3.4 Entropy of a Gaussian state -- 12.3.5 Separability and purification -- 12.4 Gaussian channels -- 12.4.1 Open bosonic systems -- 12.4.2 Gaussian channels: basic properties -- 12.4.3 Gaussian observables -- 12.4.4 Gaussian entanglement-breaking channels -- 12.5 The capacities of Gaussian channels -- 12.5.1 Maximization of the mutual information.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 12.5.2 Gauge-covariant channels -- 12.5.3 Maximization of the coherent information -- 12.5.4 The classical capacity: conjectures -- 12.6 The case of one mode -- 12.6.1 Classification of Gaussian channels -- 12.6.2 Entanglement-breaking channels -- 12.6.3 Attenuation/amplification/classical noise channel -- 12.6.4 Estimating the quantum capacity -- 12.7 Notes and references -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. The subject of this book is theory of quantum system presented from information science perspective. The central role is played by the concept of quantum channel and its entropic and information characteristics. Quantum information theory gives a key to understanding elusive phenomena of quantum world and provides a background for development of experimental techniques that enable measuring and manipulation of individual quantum systems. This is important for the new efficient applications such as quantum computing, communication and cryptography. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. This book gives an accessible, albeit mathematically rigorous and self-contained introduction to quantum information theory, starting from primary structures and leading to fundamental results and to exiting open problems.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Information theory in physics.;Quantum entropy.
9 (RLIN) 73029
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
9 (RLIN) 73030
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Efroimsky, Michael.
9 (RLIN) 73031
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Gamberg, Leonard.
9 (RLIN) 73032
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Holevo, Alexander S.
Title Quantum Systems, Channels and Information : A Mathematical Introduction
Place, publisher, and date of publication Berlin/Boston : De Gruyter, Inc.,c2012
International Standard Book Number 9783110273250
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #3 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title De Gruyter Studies in Mathematical Physics Ser.
9 (RLIN) 73033
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=893249">https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=893249</a>
Public note Click to View
887 ## - NON-MARC INFORMATION FIELD
Content of non-MARC field EBK
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Ebrary
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Date acquired Total Checkouts Barcode Date last seen Price effective from Koha item type
        Afghanistan Afghanistan 26/11/2019   EBKAF00062696 26/11/2019 26/11/2019 Ebrary
        Algeria Algeria           Ebrary
        Cyprus Cyprus           Ebrary
        Egypt Egypt           Ebrary
        Libya Libya           Ebrary
        Morocco Morocco           Ebrary
        Nepal Nepal 26/11/2019   EBKNP00062696 26/11/2019 26/11/2019 Ebrary
        Sudan Sudan           Ebrary
        Tunisia Tunisia           Ebrary