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

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

Ohya, Masanori, Volovich, I.

2011, XX, 760 p.

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  • Offers 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
  • Includes introductory material to mathematics and quantum theory

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.

Content Level » Research

Keywords » 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

Related subjects » Applications - Quantum Physics - Systems Biology and Bioinformatics

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