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

Ohya Masanori; Volovich Igor

Book

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

Masanori Ohya Igor Volovich

Abstract

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.

Details | Table of Contents

Introduction Masanori Ohya Igor Volovich

pp.1-13

https://doi.org/10.1007/978-94-007-0171-7_1

Algorithms and computation Masanori Ohya Igor Volovich

pp.15-28

https://doi.org/10.1007/978-94-007-0171-7_2

Basics of classical probability Masanori Ohya Igor Volovich

pp.29-35

https://doi.org/10.1007/978-94-007-0171-7_3

Basics of infinite-dimensional analysis Masanori Ohya Igor Volovich

pp.37-59

https://doi.org/10.1007/978-94-007-0171-7_4

Basics of quantum mechanics Masanori Ohya Igor Volovich

pp.61-100

https://doi.org/10.1007/978-94-007-0171-7_5

Fundamentals of classical information theory Masanori Ohya Igor Volovich

pp.101-123

https://doi.org/10.1007/978-94-007-0171-7_6

Fundamentals of quantum information Masanori Ohya Igor Volovich

pp.125-166

https://doi.org/10.1007/978-94-007-0171-7_7

Locality and entanglement Masanori Ohya Igor Volovich

pp.167-225

https://doi.org/10.1007/978-94-007-0171-7_8

Quantum capacity and coding Masanori Ohya Igor Volovich

pp.227-250

https://doi.org/10.1007/978-94-007-0171-7_9

Information dynamics and adaptive dynamics Masanori Ohya Igor Volovich

pp.251-312

https://doi.org/10.1007/978-94-007-0171-7_10

Mathematical models of quantum computer Masanori Ohya Igor Volovich

pp.313-329

https://doi.org/10.1007/978-94-007-0171-7_11

Quantum algorithms i Masanori Ohya Igor Volovich

pp.331-354

https://doi.org/10.1007/978-94-007-0171-7_12

Quantum algorithms ii Masanori Ohya Igor Volovich

pp.355-368

https://doi.org/10.1007/978-94-007-0171-7_13

Quantum algorithm iii Masanori Ohya Igor Volovich

pp.369-395

https://doi.org/10.1007/978-94-007-0171-7_14

Quantum error correction Masanori Ohya Igor Volovich

pp.397-412

https://doi.org/10.1007/978-94-007-0171-7_15

Quantum field theory, locality and entanglement Masanori Ohya Igor Volovich

pp.413-440

https://doi.org/10.1007/978-94-007-0171-7_16

Quantum cryptography Masanori Ohya Igor Volovich

pp.441-457

https://doi.org/10.1007/978-94-007-0171-7_17

Quantum teleportation Masanori Ohya Igor Volovich

pp.459-504

https://doi.org/10.1007/978-94-007-0171-7_18

Physical nanosystems Masanori Ohya Igor Volovich

pp.505-519

https://doi.org/10.1007/978-94-007-0171-7_19

Miscellaneous in quantum theory and information Masanori Ohya Igor Volovich

pp.521-606

https://doi.org/10.1007/978-94-007-0171-7_20

Applications to life science Masanori Ohya Igor Volovich

pp.607-718

https://doi.org/10.1007/978-94-007-0171-7_21

Publication details

Publisher: Springer

Place: Dordrecht

Year: 2011

Pages: 759

ISBN (hardback): 978-94-007-0170-0

ISBN (digital): 978-94-007-0171-7

Full citation:

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