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Quantum Information Theory and Quantum Statistics

  • Book
  • © 2008

Overview

  • Focuses on the real introductory explanation of certain important concepts of quantum information theory and quantum statistics
  • The mathematically rigorous presentation is supported by numerous examples and exercises
  • With an appendix summarizing the relevant part of linear analysis
  • The author is well known for his ability in carefully and thoroughly presenting this subject matter at the interface of two major fields of research

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (11 chapters)

Keywords

About this book

Based on lectures given by the author, this book focuses on providing reliable introductory explanations of key concepts of quantum information theory and quantum statistics - rather than on results. The mathematically rigorous presentation is supported by numerous examples and exercises and by an appendix summarizing the relevant aspects of linear analysis. Assuming that the reader is familiar with the content of standard undergraduate courses in quantum mechanics, probability theory, linear algebra and functional analysis, the book addresses graduate students of mathematics and physics as well as theoretical and mathematical physicists. Conceived as a primer to bridge the gap between statistical physics and quantum information, a field to which the author has contributed significantly himself, it emphasizes concepts and thorough discussions of the fundamental notions to prepare the reader for deeper studies, not least through the selection of well chosen exercises.

Reviews

From the reviews:

"This book covers a great deal of central topics and actual problems of quantum information theory except quantum computation and cryptography. It is an introduction which emphasizes the mathematical interesting and beauty aspects of quantum and information theory as well as their synthesis on an ambitious level suitable for graduate students. It is offering mathematically rigorous and elegant proofs for central propositions and with this respect it can serve teachers and researchers doing their work." (K.-E. Hellwig, Zentralblatt MATH, Vol. 1145, 2008)

Authors and Affiliations

  • Alfréd Rényi Institute of Mathematics, Hungary

    Dénes Petz

Bibliographic Information

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