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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2024, Volume 166, Book 4, Pages 470–484
DOI: https://doi.org/10.26907/2541-7746.2024.4.470-484 (Mi uzku1679) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quantum and classical nondeterministic OBDDs

A. F. Gainutdinova

Kazan Federal University, Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/2541-7746.2024.4.470-484
Abstract: A model of nondeterministic ordered binary decision diagrams (NOBDDs) was analyzed. A method for proving a lower bound on the complexity of quantum NOBDDs was developed. Two functions were introduced: one function has linear complexity in the quantum NOBDD but constant complexity in the classical NOBDD, while the other function demonstrates the same complexity in both quantum and classical NOBDD models. The relationships among the complexity classes specific to the OBDD model were described.
Keywords: branching program, ordered binary decision diagram, OBDD, complexity, quantum algorithm, nondeterminism, hierarchy of complexity classes.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
The research has been supported by the Kazan Federal University Strategic Academic Leadership Program («PRIORITY-2030»).
Received: 05.07.2024
Accepted: 10.10.2024
Document Type: Article
UDC: 519.71
Language: Russian
Citation: A. F. Gainutdinova, “Quantum and classical nondeterministic OBDDs”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166, no. 4, Kazan University, Kazan, 2024, 470–484
Citation in format AMSBIB
\Bibitem{Gai24}
\by A.~F.~Gainutdinova
\paper Quantum and classical nondeterministic OBDDs
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2024
\vol 166
\issue 4
\pages 470--484
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1679}
\crossref{https://doi.org/10.26907/2541-7746.2024.4.470-484}
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    • This publication is cited in the following 1 articles:
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