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Introduction to Quantum Information Science

  • Masahito Hayashi
  • Satoshi Ishizaka
  • Akinori Kawachi
  • Gen Kimura
  • Tomohiro Ogawa

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 1-12
  3. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 13-35
  4. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 37-53
  5. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 55-73
  6. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 75-126
  7. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 127-166
  8. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 167-203
  9. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 205-229
  10. Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Pages 231-268
  11. Back Matter
    Pages 269-332

About this book

Introduction

This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current  book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols,this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The  decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained.  This book treats quantum cryptography from a more practical viewpoint.

Keywords

Quantum Algorithm Quantum Channel Coding Quantum Computing Textbook Quantum Cryptography Quantum Entanglement Quantum Error Correction Quantum Information Introduction Quantum Security Quantum State Discrimination and Estimation

Authors and affiliations

  • Masahito Hayashi
    • 1
  • Satoshi Ishizaka
    • 2
  • Akinori Kawachi
    • 3
  • Gen Kimura
    • 4
  • Tomohiro Ogawa
    • 5
  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan
  2. 2.Graduate School of Integrated Arts and SciencesHiroshima UniversityHigashi-HiroshimaJapan
  3. 3.Department of Mathematical and Computing SciencesTokyo Institute of TechnologyTokyoJapan
  4. 4.College of Systems Engineering & ScienceShibaura Institute of TechnologySaitamaJapan
  5. 5.Graduate School of Information SystemsUniversity of Electro-CommunicationsTokyoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43502-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-43501-4
  • Online ISBN 978-3-662-43502-1
  • Series Print ISSN 1868-4513
  • Series Online ISSN 1868-4521
  • Buy this book on publisher's site
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