Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
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Beschreibung
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.
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.
A unique combination of rigorous mathematical results in quantum information and applications to nano-systems and life science Presents a new paradigm for quantum computation beyond the usual quantum Turing machine With introductory material to mathematics and quantum theory Includes supplementary material: sn.pub/extras
Autor*in
Masanori Ohya
Themen in »Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems«
Entangling operators Quantum computing Quantum entanglement Quantum information Quantum information genetics applied Quantum information life science applied Quantum information nano-systems applied Quantum mutual entropy Quantum photosynthesis
Stimmen zu »Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems«
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)()