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Diskretnaya Matematika, 2009, Volume 21, Issue 4, Pages 3–19
DOI: https://doi.org/10.4213/dm1067 (Mi dm1067) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On quantum realisation of Boolean functions by the fingerprinting technique

F. M. Ablayev, A. V. Vasilyev
Full-text PDF (202 kB) Citations (10)
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DOI: https://doi.org/10.4213/dm1067
Abstract: In this paper, we develop the fingerprinting technique of calculation of Boolean functions in quantum calculation models.
The use of the fingerprinting technique is demonstrated on the example of calculation of the function $\mathrm{MOD}_m$ in the class of quantum OBDD (oblivious read-once branching programs). Next, the potentialities of the fingerprinting technique are demonstrated in the example of realisation of the “equality” function in the quantum model of communication with a referee (the SMP communication model) and in examples of recognition of languages in quantum automata.
All given realisations of Boolean functions in various quantum calculation models (OBDD, SMP communication model, and a finite automaton) are asymptotically optimal.
The authors thank Juhani Karhumäki for the invitation to the University of Turku and fruitful discussions of this research.
Received: 09.10.2008
Revised: 16.12.2008
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 6, Pages 555–572
DOI: https://doi.org/10.1515/DMA.2009.037
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: F. M. Ablayev, A. V. Vasilyev, “On quantum realisation of Boolean functions by the fingerprinting technique”, Diskr. Mat., 21:4 (2009), 3–19; Discrete Math. Appl., 19:6 (2009), 555–572
Citation in format AMSBIB
\Bibitem{AblVas09}
\by F.~M.~Ablayev, A.~V.~Vasilyev
\paper On quantum realisation of Boolean functions by the fingerprinting technique
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 4
\pages 3--19
\mathnet{http://mi.mathnet.ru/dm1067}
\crossref{https://doi.org/10.4213/dm1067}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2641014}
\elib{https://elibrary.ru/item.asp?id=20730307}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 6
\pages 555--572
\crossref{https://doi.org/10.1515/DMA.2009.037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-75349102346}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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