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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 151, Pages 91–104 (Mi into343)  

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)

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).


Full text: PDF file (281 kB)
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Bibliographic databases:

Document Type: Article
UDC: 517.958:530.145
MSC: 81P68

Citation: P. A. Tregubov, A. S. Trushechkin, “Quantum Stream Ciphers: Impossibility of Unconditionally Strong Algorithms”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 91–104

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. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 151
\pages 91--104
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into343}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3903369}


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