Geodesic
Mathematical model of random number generator based on vacuum fluctuations
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 2, pp. 136-153

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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. 
@article{VSPUI_2024_20_2_a1,
     author = {A. A. Gaidash and R. K. Goncharov and A. V. Kozubov and P. V. Yakovlev},
     title = {Mathematical model of random number generator based on vacuum fluctuations},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {136--153},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2024_20_2_a1/}
}
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A. A. Gaidash; R. K. Goncharov; A. V. Kozubov; P. V. Yakovlev. Mathematical model of random number generator based on vacuum fluctuations. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 2, pp. 136-153. http://geodesic.mathdoc.fr/item/VSPUI_2024_20_2_a1/