00000cmm a22000004a 4500 UP-99796217611235914 Buklod 20241028102930.0 m go j cr |n |||auu|a 241028s2011 ne o j | eng d 9789400701717 (eBook) (iLib)UPD-00215705088 DMLR rda eng DMLUC QC 174.17 M35 O39 2011eb Ohya, Masanori 1947- author. Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems [electronic resource] Masanori Ohya, Igor Volovich. Dordrecht, Netherlands Springer Dordrecht 2011. 1 online resource (xix, 759 pages) illustrations (some color) text rdacontent computer rdamedia online resource rdacarrier Theoretical and mathematical physics. Introduction -- Algorithms and computation -- Basics of classical probability -- Basics of infinite-dimensional analysis -- Basics of quantum mechanics -- Fundamentals of classical information theory -- Fundamentals of quantum information -- Locality and entanglement -- Quantum capacity and coding -- Information dynamics and adaptive dynamics -- Mathematical models of quantum computer -- Quantum algorithms -- Quantum error correction -- Quantum field theory, locality and entanglement -- Quantum cryptography -- Quantum teleportation -- Physical nanosystems -- Miscellaneous in quantum theory and information -- Applications to life science. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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 Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink Quantum theory Mathematics. Quantum computers. Nanotechnology. Volovich, I. V. author. Available for UP System via Springer Link. https://doi.org/10.1007/978-94-007-0171-7 FO UPD DMLR QC 174.17 M35 O39 2011eb Electronic Resource