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

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 mec...

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Hauptverfasser: Ōya, Masanori, 1947-, Volovich, I. (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2011.
Schriftenreihe:Theoretical and Mathematical Physics
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Anmerkung: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems, Texte imprimé, 9789400735125
• Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems, by Masanori Ohya, I. Volovich., Dordrecht, Springer Science+Business Media B.V., 2011, Theoretical and Mathematical Physics, 978-94-007-0170-0
• Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems, Texte imprimé, 9789400701724
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505 1 |a 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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520 |a 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. 
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