Quantum Information: An Introduction / Edition 1

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"Intended to merge key topics from both the information-theoretical and quantum-mechanical viewpoints, this graduate-level textbook provides a unified perspective of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and remaining 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, this book only requires knowledge of linear algebra, probability theory, and quantum mechanics." It treats the topics of quantum hypothesis testing and the discrimination of quantum states, and quantum channel coding (message transmission) with the minimal amount of mathematics needed to convey their essence. Solving the more than 330 exercises provides readers with practice that not only enriches their knowledge of quantum information theory, but also equips them with the techniques necessary for pursuing their own research in this field.
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Editorial Reviews

From the Publisher
From the reviews:

"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 book a 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)

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Product Details

  • ISBN-13: 9783642067693
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 10/27/2010
  • Edition description: Softcover reprint of hardcover 1st ed. 2006
  • Edition number: 1
  • Pages: 426
  • Product dimensions: 0.90 (w) x 9.21 (h) x 6.14 (d)

Meet the Author

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


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).

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Table of Contents

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 Prools.- Source Coding in Quantum Systems.

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