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© 2011

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

Benefits

  • 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 With introductory material to mathematics and quantum theory

Book

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

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Masanori Ohya, Igor Volovich
    Pages 1-13
  3. Masanori Ohya, Igor Volovich
    Pages 15-28
  4. Masanori Ohya, Igor Volovich
    Pages 29-35
  5. Masanori Ohya, Igor Volovich
    Pages 37-59
  6. Masanori Ohya, Igor Volovich
    Pages 61-100
  7. Masanori Ohya, Igor Volovich
    Pages 101-123
  8. Masanori Ohya, Igor Volovich
    Pages 125-166
  9. Masanori Ohya, Igor Volovich
    Pages 167-225
  10. Masanori Ohya, Igor Volovich
    Pages 227-250
  11. Masanori Ohya, Igor Volovich
    Pages 251-312
  12. Masanori Ohya, Igor Volovich
    Pages 313-329
  13. Masanori Ohya, Igor Volovich
    Pages 331-354
  14. Masanori Ohya, Igor Volovich
    Pages 355-368
  15. Masanori Ohya, Igor Volovich
    Pages 369-395
  16. Masanori Ohya, Igor Volovich
    Pages 397-412
  17. Masanori Ohya, Igor Volovich
    Pages 413-440
  18. Masanori Ohya, Igor Volovich
    Pages 441-457
  19. Masanori Ohya, Igor Volovich
    Pages 459-504
  20. Masanori Ohya, Igor Volovich
    Pages 505-519

About this book

Introduction

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.

Keywords

Entangling operators Quantum computing Quantum entanglement Quantum information Quantum information genetics applied Quantum information life science applied Quantum information nano-systems applied Quantum mutual entropy Quantum photosynthesis

Authors and affiliations

  1. 1.Information SciencesTokyo University of ScienceNodaJapan
  2. 2.Mathematical PhysicsSteklov Mathematical InstituteMoscowRussian Federation

About the authors

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

Bibliographic information

  • Book Title Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
  • Authors Masanori Ohya
    I. Volovich
  • Series Title Theoretical and Mathematical Physics
  • DOI https://doi.org/10.1007/978-94-007-0171-7
  • Copyright Information Springer Science+Business Media B.V. 2011
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy Physics and Astronomy (R0)
  • Hardcover ISBN 978-94-007-0170-0
  • Softcover ISBN 978-94-007-3512-5
  • eBook ISBN 978-94-007-0171-7
  • Series ISSN 1864-5879
  • Series E-ISSN 1864-5887
  • Edition Number 1
  • Number of Pages XX, 760
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Quantum Physics
    Bioinformatics
    Applications of Mathematics
  • Buy this book on publisher's site
Industry Sectors
Electronics
Energy, Utilities & Environment
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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)