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Proceedings Paper

Quantum query algorithms for certain functions and general algorithm construction techniques
Author(s): Alina Dubrovska
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Paper Abstract

Quantum algorithms can be analyzed in a query model to compute Boolean functions where input is given in a black box, but the aim is to compute function value for arbitrary input using as few queries as possible. In this paper we concentrate on quantum query algorithm designing tasks. The main aim of research was to find new efficient algorithms and develop general algorithm designing techniques. We present several exact quantum query algorithms for certain problems that are better than classical counterparts. Next we introduce algorithm transformation methods that allow significant enlarging of sets of exactly computable functions. Finally, we propose quantum algorithm designing methods. Given algorithms for the set of sub-functions, our methods use them to design more complex one, based on algorithms described before. Methods are applicable for input algorithms with specific properties and preserve acceptable error probability and number of queries.

Paper Details

Date Published: 10 May 2007
PDF: 12 pages
Proc. SPIE 6573, Quantum Information and Computation V, 65730F (10 May 2007); doi: 10.1117/12.720653
Show Author Affiliations
Alina Dubrovska, Univ. of Latvia (Latvia)

Published in SPIE Proceedings Vol. 6573:
Quantum Information and Computation V
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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