Theoretical and Mathematical Physics

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Authors: Ohya, Masanori, Volovich, I.

  • Offers a unique combination of rigorous mathematical results in quantum information and applications to nano-systems and life science
  • Presents a new paradigm for quantum computation beyond the usual quantum Turing machine
  • Includes introductory material to mathematics and quantum theory
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eBook $129.00
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  • ISBN 978-94-007-0171-7
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Hardcover $169.95
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  • ISBN 978-94-007-0170-0
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Softcover $169.95
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  • ISBN 978-94-007-3512-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

This monograph provides a mathematical foundation  to  the theory of quantum information and computation, with applications to various open systems including nano and bio systems.

It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

About the authors

M. Ohya (Tokyo University of Science) and I. Volovich (SMI RAS, Russia) are acknowledged experts on quantum information theory.

Reviews

From the reviews:

“The monograph under review concerns a mathematically rigorous approach to quantum information and computation. The authors provide necessary introductory material on functional analysis, probability theory, information theory and quantum mechanics. … The unique feature of the monograph is that the authors also describe the applications of information theory to genetics and other life sciences. … Very helpful for further study is the vast list of references, containing the most important articles and books on the subject.” (Lech Jakóbczyk, Mathematical Reviews, Issue 2012 c)

Table of contents (21 chapters)

  • Introduction

    Ohya, Masanori (et al.)

    Pages 1-13

  • Algorithms and Computation

    Ohya, Masanori (et al.)

    Pages 15-28

  • Basics of Classical Probability

    Ohya, Masanori (et al.)

    Pages 29-35

  • Basics of Infinite-Dimensional Analysis

    Ohya, Masanori (et al.)

    Pages 37-59

  • Basics of Quantum Mechanics

    Ohya, Masanori (et al.)

    Pages 61-100

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-94-007-0171-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.95
price for USA
  • ISBN 978-94-007-0170-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.95
price for USA
  • ISBN 978-94-007-3512-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0171-7
DOI
10.1007/978-94-007-0171-7
Hardcover ISBN
978-94-007-0170-0
Softcover ISBN
978-94-007-3512-5
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XX, 760
Topics