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Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems (Theoretical and Mathematical
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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.
- Sales Rank: #5076483 in Books
- Published on: 2013-02-24
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.55" w x 6.14" l, .0 pounds
- Binding: Paperback
- 760 pages
Review
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 Jak�bczyk, Mathematical Reviews, Issue 2012 c) From the Back Cover
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.
About the Author
M. Ohya (Tokyo University of Science) and I. Volovich (SMI RAS, Russia) are acknowledged experts on quantum information theory.
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