Quantum information theory : mathematical foundation

書誌事項

Quantum information theory : mathematical foundation

Masahito Hayashi

(Graduate texts in physics)

Springer, c2017

2nd ed

大学図書館所蔵 件 / 19

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注記

Originally published in Japanese: 2003

First English edition published: 2006

Includes bibliographical references and index

Some copies have different pagination: xliii, 636, E1 p. (p. E1 is "Erratum to: Quantum information theory", bound between p. [606] and 607)

内容説明・目次

内容説明

This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics - all of which are addressed here - made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

目次

Invitation to Quantum Information Theory.- History of Quantum Information Theory.- The Structure of this Text.- 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.

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詳細情報

  • NII書誌ID(NCID)
    BB22540443
  • ISBN
    • 9783662497234
  • LCCN
    2016949125
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    jpn
  • 出版地
    Berlin
  • ページ数/冊数
    xli, 636 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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