Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems / Edition 1

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems / Edition 1

by Masanori Ohya, I. Volovich
     
 

ISBN-10: 9400701705

ISBN-13: 9789400701700

Pub. Date: 01/07/2011

Publisher: Springer Netherlands

This monograph provides an introduction to the mathematical aspects of the theory of quantum information and open systems, with applications to various nano and bio systems.

It includes introductory material on functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum

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Overview

This monograph provides an introduction to the mathematical aspects of the theory of quantum information and open systems, with applications to various nano and bio systems.

It includes introductory material on functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information, the authors discuss findings on quantum mutual entropy, 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, important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

Product Details

ISBN-13:
9789400701700
Publisher:
Springer Netherlands
Publication date:
01/07/2011
Series:
Theoretical and Mathematical Physics Series
Edition description:
2011
Pages:
760
Product dimensions:
6.10(w) x 9.20(h) x 1.80(d)

Table of Contents

1 Introduction.- 2 Algorithms and Computation.- 3 Basics of Classical Probability.- 4 Basics of Infinite Dimensional Analysis.- 5 Basics of Quantum Mechanics.- 6 Fundamentals of Classical Information Theory.- 7 Fundamentals of Quantum Information.- 8 Locality and Entanglement.- 9 Quantum Capacity and Coding.- 10 Information Dynamics and Adaptive Dynamics.- 11 Mathematical Models of Quantum Computer.- 12 Quantum Algorithms I.- 13 Quantum Algorithms II.- 14 Quantum Algorithms III.- 15 Quantum Error Correction.- 16 Quantum Field Theory.- Locality and Entanglement.- 17 Quantum Cryptography.- 18 Quantum Teleportation.- 19 Physical Nano-Systems.- 20 Miscellaneous in Quantum Theory and Information.- 21 Applications to Life Science.

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