188441

Springer, Dordrecht

2011

759 Pages

ISBN 978-94-007-0170-0

Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems

Masanori Ohya , Igor Volovich

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, anda 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.

Publication details

Full citation:

Ohya, M. , Volovich, I. (2011). Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Springer, Dordrecht.

Table of Contents

Introduction

Ohya Masanori; Volovich Igor

1-13

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Algorithms and computation

Ohya Masanori; Volovich Igor

15-28

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Basics of classical probability

Ohya Masanori; Volovich Igor

29-35

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Basics of infinite-dimensional analysis

Ohya Masanori; Volovich Igor

37-59

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Basics of quantum mechanics

Ohya Masanori; Volovich Igor

61-100

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Fundamentals of classical information theory

Ohya Masanori; Volovich Igor

101-123

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Fundamentals of quantum information

Ohya Masanori; Volovich Igor

125-166

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Locality and entanglement

Ohya Masanori; Volovich Igor

167-225

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Quantum capacity and coding

Ohya Masanori; Volovich Igor

227-250

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Information dynamics and adaptive dynamics

Ohya Masanori; Volovich Igor

251-312

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Mathematical models of quantum computer

Ohya Masanori; Volovich Igor

313-329

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Quantum algorithms i

Ohya Masanori; Volovich Igor

331-354

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Quantum algorithms ii

Ohya Masanori; Volovich Igor

355-368

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Quantum algorithm iii

Ohya Masanori; Volovich Igor

369-395

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Quantum error correction

Ohya Masanori; Volovich Igor

397-412

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Quantum field theory, locality and entanglement

Ohya Masanori; Volovich Igor

413-440

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Quantum cryptography

Ohya Masanori; Volovich Igor

441-457

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Quantum teleportation

Ohya Masanori; Volovich Igor

459-504

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Physical nanosystems

Ohya Masanori; Volovich Igor

505-519

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Miscellaneous in quantum theory and information

Ohya Masanori; Volovich Igor

521-606

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Applications to life science

Ohya Masanori; Volovich Igor

607-718

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