Chen G., Kauffman L., Lomonako S. (ed.). Mathematics of Quantum Computation and Quantum Technology

формат pdf
размер 8.51 МБ
добавлен 28 января 2011 г.

Chapman & Hall/CRC, 2008 by Taylor & Francis Group, LLC, под. ред. Goong
Chen, Louis Kauffman, Samuel J. Lomonaco, 625 с. на англ. языке.

Книга представляет собой сборник статей по квантовым вычислениям и квантовым информационным технологиям. В каждом разделе дается математический аппарат, необходимый для описания процессов обработки квантовой информации, и приводятся примеры применения этого аппарата для таких задач, как разработка алгоритмов для поиска скрытой подгруппы, оценка классов сложности как класссических, так и кввантовых алгоритмов, реализация логических операций в квантовых процессорах на разной физической базе (оптические элементы, сверхпроводящие). Рассматриваются также проблемы коррекции ошибок при квантовых вычислених, проблемы определения перепутанности состояний, элементы т. н. лямбда-исчисления. Книга ориентирована на студентов старших курсов, изучающих квантовую информатику как раздел теоретической физики. Чтение книги предполагает знакомство с основами квантовой физики и основными понятиями квантовой теории информации.

Разделы: Quantum Computation. Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit. A Realization Scheme for Quantum Multi-Object. On Interpolating between Quantum and Classical Complexity Classes. Quantum Algorithms for Hamiltonian Simulation. Quantum Technology. New Mathematical Tools for Quantum Technology. The Probabilistic Nature of Quantum Mechanics. Superconducting Quantum Computing Devices. Nondeterministic Logic Gates in Optical Quantum Computing. Quantum Information. Exploiting Entanglement in Quantum Cryptographic Probes. Nonbinary Stabilizer Codes.Accessible information about quantum states: An open optimization problem. Parametrizations of Positive Matrices With
Applications Quantum Entanglement: Concepts and Criteria.Quantum Topology, Categorical Algebra, and Logic. Quantum Computing and Quantum Topology. Temperley–Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics. Quantum measurements without sums. Panel Report on the Forward Looking Discussion

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