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Quantum Information: An Introduction

Autor Masahito Hayashi
en Limba Engleză Paperback – 12 feb 2010
Recently, quantum information theory has been developing through a fusion of results from various research fields. This requires that understanding of basic results on diverse topics, and derived from different disciplinary perspectives, is required for appreciating the overall picture. Intended to merge key topics from both the information-theoretic and quantum- mechanical viewpoints, this graduate-level textbook provides a unified viewpoint of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and challenges. For example, advanced topics in quantum communication such as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption especially benefit from this unified approach. Unlike earlier treatments, the text requires knowledge of only linear algebra, probability theory, and quantum mechanics, while it treats the topics of quantum hypothesis testingand the discrimination of quantum states, and quantum channel coding (message transmission) with the minimal amount of math needed to convey their essence. Solving the more than 240 exercises provides readers with practice that not only enriches their knowledge of quantum information theory, but also can equip them with the techniques necessary for pursuing their own research in this field.
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Specificații

ISBN-13: 9783642067693
ISBN-10: 3642067697
Pagini: 440
Ilustrații: XIV, 426 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.61 kg
Ediția:Softcover reprint of hardcover 1st ed. 2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

Prologue.- Mathematical Formulation of Quantum Systems.- Information Quantities and Parameter Estimation in Classical Systems.- Quantum Hypothesis Testing and Discrimination of Quantum States.- Classical-Quantum Channel Coding (Message Transmission).- State Evolution and Trace-Preserving Completely Positive Maps.- Quantum Information Geometry and Quantum Estimation.- Quantum Measurements and State Reduction.- Entanglement and Locality Restrictions.- Analysis of Quantum Communication Protocols.- Source Coding in Quantum Systems.

Recenzii

“Quantum Information: An Introduction by Masahito Hayashi provides much more than merely an introduction to this active area of study. The text is a thorough mathematical foundation upon which graduate students and early career researchers alike can build the knowledge and skills required to pursue their own research in the field. … I will be gladly recommending this text to any researcher wishing to enter the field, from graduate student through to professor.” (N. Oxtoby, Contemporary Physic, Vol. 49 (01),January-February, 2008) 

"The book under review is, without a doubt, the most comprehensive textbook to date on quantum information theory. … This comprehensive and theorem-heavy approach makes the booka valuable reference for those working in the field of quantum information. … This book could be used in a graduate course in quantum information theory … . an extremely helpful work, and I am glad that it is available." (Todd A. Brun, Mathematical Reviews, Issue 2007 b)

Notă biografică

1990-1994 Faculty of Science, Kyoto Univ.
1994-1996 Master course, Depart of Mathematics, Graduate School of Science,
Kyoto Univ.
1996-1999 Doctor course, Depart of Mathematics, Graduate School of Science,
Kyoto Univ.
1999 March Ph. D. in Mathematics
1998-2000 Research Fellow of the Japan Society for the Promotion of
Science.
2000-2003 Researcher
Lab. for Mathematical Neuroscience (Amari's Lab.),
Brain Science Institute, RIKEN
2003- Head of Research Section
ERATO, Quantum Computation and Information Project,
Japan Science and Technology Agency (JST)
2004- Adjunct Associate Professor
Graduate School of Information Science and Technology
The University of Tokyo
Editorial Bord, International Journal of Quantum Information,
World Scientific (2002-).
Guest Editor, Special Issue of EQIS'03 conference
in International Journal of Quantum Information.
Editor of "Asymptotic Theory of Quantum Statistical Inference: Selected papers" published by World Scientific, 542 pages (2005).

Textul de pe ultima copertă

Recently, quantum information theory has been developing through a fusion of results from various research fields. This requires that understanding of basic results on diverse topics, and derived from different disciplinary perspectives, is required for appreciating the overall picture. Intended to merge key topics from both the information-theoretic and quantum- mechanical viewpoints, this graduate-level textbook provides a unified viewpoint of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and challenges. For example, advanced topics in quantum communication such as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption especially benefit from this unified approach. Unlike earlier treatments, the text requires knowledge of only linear algebra, probability theory, and quantum mechanics, while it treats the topics of quantum hypothesis testingand the discrimination of quantum states, and quantum channel coding (message transmission) with the minimal amount of math needed to convey their essence. Solving the more than 240 exercises provides readers with practice that not only enriches their knowledge of quantum information theory, but also can equip them with the techniques necessary for pursuing their own research in this field.

Caracteristici

Provides a unified viewpoint of quantum information theory and lucid explanations of those basic results Requires knowledge of only linear algebra, probability theory, and quantum mechanics, the minimal amount of math needed to convey the concepts More than 240 exercises provide practice that enriches knowledge of quantum information theory