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Quantum model of computations: Underlying principles and achievements
Authors:A. V. Anisimov  S. V. Danil’chenko
Affiliation:(1) Taras Shevchenko University, Kiev, Ukraine
Abstract:
A quantum Turing machine is considered. A review of basic methodological principles and achievements in the field of quantum computations is given. Some problems of construction of correct quantum computations and their complexity are considered. The result of P. Shor concerning the solution of the problems of taking discrete logarithms in polynomial time relative to the length of numbers is considered in detail. Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 58–76, January–February, 2000.
Keywords:computational processes  models of computations  deterministic Turing machine  probabilistic Turing machine  quantum Turing machine  distinctive features of quantum systems  functioning of quantum machines  realization and application of quantum machines  quantum cryptography
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