Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 138, Pages 11–18 (Mi into211)  
Analysis of properties of quantum hashing

A. V. Vasiliev, A. R. Vasilov, M. A. Latypov

Kazan (Volga Region) Federal University
Full-text PDF (192 kB)
Abstract: We analyze a method of binary quantum hashing that allows one to represent binary sets as quantum states. We show that this method is very stable with respect to the recovery of preimages. Moreover, we propose heuristic approaches to small-bias sets on which the construction of quantum hash-functions is based and show that they are stable with respect to collisions.
Keywords: quantum computing, quantum cryptography, quantum hashing, linear binary code, random search, particle swarm algorithm.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 14-07-00878
15-37-21160
This work was supported by the Government subsidy for the Kazan State University in order to enhance its competitiveness among the world's leading research and education centers and by the Russian Foundation for basic Research (projects No. 14-07-00878 and 15-37-21160.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 2, Pages 117–124
DOI: https://doi.org/10.1007/s10958-019-04412-9
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: 81P94
Language: Russian
Citation: A. V. Vasiliev, A. R. Vasilov, M. A. Latypov, “Analysis of properties of quantum hashing”, Quantum computing, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 11–18; Journal of Mathematical Sciences, 241:2 (2019), 117–124
Citation in format AMSBIB
\Bibitem{VasVasLat17}
\by A.~V.~Vasiliev, A.~R.~Vasilov, M.~A.~Latypov
\paper Analysis of properties of quantum hashing
\inbook Quantum computing
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 138
\pages 11--18
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801248}
\zmath{https://zbmath.org/?q=an:1426.81033}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 2
\pages 117--124
\crossref{https://doi.org/10.1007/s10958-019-04412-9}
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