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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 151, Pages 91–104 (Mi into343)  
This article is cited in 2 scientific papers (total in 2 papers)

Quantum Stream Ciphers: Impossibility of Unconditionally Strong Algorithms

P. A. Tregubova, A. S. Trushechkinbcde

a Joint Stock Company Sberbank Technology
b Steklov Mathematical Institute of Russian Academy of Sciences
c National Engineering Physics Institute "MEPhI"
d National University of Science and Technology «MISIS»
e International Center for Quantum Optics and Quantum Technologies (the Russian Quantum Center)
Full-text PDF (281 kB) Citations (2)
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Abstract: Stream ciphers is one of two large classes of ciphers with private keys in classical cryptography. In this paper, we introduce the concept of a quantum stream cipher. Special types of quantum stream ciphers were proposed earlier by numerous researchers. We prove a general result on the nonexistence of an absolutely strong quantum stream cipher if the length of the message is much longer than the length of the key. We analyze individual and collective attacks against the quantum stream cipher. A relationship between the problem of guessing the key by the opponent and the problem of distinguishing of random quantum states is established.
Keywords: quantum cryptography, stream ciphers, unconditionally strong algorithm, distinguishing of quantum states.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2815.2017.1
This work was supported by the Grant of the President of the Russian Federation (project MK-2815.2017.1).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 1, Pages 90–103
DOI: https://doi.org/10.1007/s10958-020-05144-x
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.145
MSC: 81P68
Language: Russian
Citation: P. A. Tregubov, A. S. Trushechkin, “Quantum Stream Ciphers: Impossibility of Unconditionally Strong Algorithms”, Quantum probability, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 91–104; J. Math. Sci. (N. Y.), 252:1 (2021), 90–103
Citation in format AMSBIB
\Bibitem{TreTru18}
\by P.~A.~Tregubov, A.~S.~Trushechkin
\paper Quantum Stream Ciphers: Impossibility of Unconditionally Strong Algorithms
\inbook Quantum probability
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 151
\pages 91--104
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into343}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903369}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 1
\pages 90--103
\crossref{https://doi.org/10.1007/s10958-020-05144-x}
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  • https://www.mathnet.ru/eng/into/v151/p91
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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