Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
1st Edition
Published on 28. January 2011
Book
Hardback
XX, 760 pages
978-94-007-0170-0 (ISBN)
Description
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.
Reviews / Votes
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)More details
Series
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XX, 760 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 45 mm
Weight
1462 gr
ISBN-13
978-94-007-0170-0 (9789400701700)
DOI
10.1007/978-94-007-0171-7
Schweitzer Classification
Other editions
Additional editions
Masanori Ohya | I. Volovich
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
Book
02/2013
Springer
€160.49
Shipment within 15-20 days
Masanori Ohya | I. Volovich
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
E-Book
01/2011
1st Edition
Springer
€149.79
Available for download
Persons
M. Ohya (Tokyo University of Science) and I. Volovich (SMI RAS, Russia) are acknowledged experts on quantum information theory.
Content
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.