Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems [recurso electrónico] / by Masanori Ohya, I. Volovich.

Por: Ohya, Masanori [author.]Colaborador(es): Volovich, I [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Theoretical and Mathematical PhysicsEditor: Dordrecht : Springer Netherlands, 2011Descripción: XX, 760 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9789400701717Tema(s): Physics | Bioinformatics | Mathematics | Quantum theory | Physics | Quantum Physics | Bioinformatics | Applications of MathematicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 530.12 Clasificación LoC:QC173.96-174.52Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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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Colección de Libros Electrónicos QC173.96 -174.52 (Browse shelf(Abre debajo)) 1 No para préstamo 378243-2001

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.

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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