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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2024, Volume 20, Issue 2, Pages 136–153
DOI: https://doi.org/10.21638/spbu10.2024.202 (Mi vspui615) 		 
Applied mathematics

Mathematical model of random number generator based on vacuum fluctuations

A. A. Gaidasha, R. K. Goncharova, A. V. Kozubova, P. V. Yakovlevb

a University ITMO, 49, Kronversky pr., St. Petersburg, 197101, Russian Federation
b St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
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DOI: https://doi.org/10.21638/spbu10.2024.202
Abstract: A mathematical model of quantum random number generator based on vacuum fluctuations is considered. A mathematical justification for the "randomness’’ of the generated sequence is given under the assumption of the truth of the basic postulates of quantum theory and the validity of the Poisson probability distribution for the photon flux. The results of experiments and the obtained estimates of the minimum entropy are presented.
Keywords: quantum random number generator, minimal entropy estimation, vacuum fluctuations.
Received: February 9, 2024
Accepted: March 12, 2024
Document Type: Article
UDC: 519.676, 519.24
MSC: 65C10
Language: Russian
Citation: A. A. Gaidash, R. K. Goncharov, A. V. Kozubov, P. V. Yakovlev, “Mathematical model of random number generator based on vacuum fluctuations”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 20:2 (2024), 136–153
Citation in format AMSBIB
\Bibitem{GaiGonKoz24}
\by A.~A.~Gaidash, R.~K.~Goncharov, A.~V.~Kozubov, P.~V.~Yakovlev
\paper Mathematical model of random number generator based on vacuum fluctuations
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2024
\vol 20
\issue 2
\pages 136--153
\mathnet{http://mi.mathnet.ru/vspui615}
\crossref{https://doi.org/10.21638/spbu10.2024.202}
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