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Article title ESTIMATION OF THE PARAMETERS OF A TWO-STAGE ALGORITHM FOR SINGLE-PHOTON SYNCHRONIZATION OF AN AUTO-COMPENSATION QUANTUM KEY DISTRIBUTION SYSTEM
Authors K. E. Rumyantsev, E. A. Rudinsky
Section SECTION I. METHODS, MODELS AND ALGORITHMS OF INFORMATION PROCESSING
Month, Year 05, 2018 @en
Index UDC 621.396.624
DOI
Abstract Solving the problem of secrecy in the process of key distribution is based on the principles of the encoding of the photon quantum state. Analysis of information strategies in quantum systems shows that the implementation of the multiphoton mode in the synchronization process potentially makes it easier unauthorized access to information. This determines the researching of methods and algorithms for synchronization of quantum key distribution (QKD) systems with automatic compensation of polarization distortions that provide increased protection from unauthorized access. The synchronization process protecting of auto-compensation QKD systems from unauthorized access is investigated. The synchronization algorithm allows the use of single-photon avalanche photodiodes (SPAD) with a significant time delay between the moment of photon reception, avalanche formation, its quenching and subsequent recovery. In this article we describe the graph-analytical method for estimating single-photon synchronization parameters of an auto-compensation quantum key distribution system. In this paper is formed and described diagram of states and transitions for random search for a photon pulse with allowance for false detection. Based on the results of the analysis, expressions are defined for calculating the mathematical expectation, dispersion and average number of steps spent on the synchronization process. The interval for the average number of steps used for the synchronization process is determined. The average synchronization time according to the proposed algorithm is estimated considering the probability of false alarm. The calculations showed that the error in determining the mean synchronization time according to the expressions is no more than 1.7 %. Thus, the graph-analytic method for estimating the single-photon synchronization parameters of the QKD auto-compensation system allows to determine the statistical characteristics and the average synchronization time with a low error.

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Keywords Quantum key distribution; synchronization; security; fiber-optic line; two-stage algorithm; single-photon registration.
References 1. Fizika kvantovoy informatsii: Kvantovaya kriptografiya. Kvantovaya teleportatsiya. Kvantovye vychisleniya [Physics of quantum information: Quantum cryptography. Quantum teleportation. Quantum computing], Under ed. D. Boumeystera, A. Ekerta, A. Tsaylingera: Translation from English S.P. Kulika, E.A. Shapiro. Moscow: Postmarket, 2002, 376 p.
2. Gisin N., Ribordy G., Tittel W., Zbinden H. Quantum cryptography, Reviews of Modern Physics, 2002, Vol. 74, No. 1, pp. 145-195.
3. Rumyantsev K.E. Sinkhronizatsiya v sisteme kvantovogo raspredeleniya klyucha s avtomaticheskoy kompensatsiey polyarizatsionnykh iskazheniy [Synchronisation in quantum key distribution system with automatic indemnification of polarising distortions], Telekommunikatsii [Telecommunications], 2017, No. 2, pp. 32-40.
4. Plenkin A.P. Issledovanie rezhima vkhozhdeniya v sinkhronizm pri ispol'zovanii fo-onnykh impul'sov sistemy kvantovogo raspredeleniya klyucha [Study of the mode of entering into synchronism when using photon pulses of a system of quantum key distribution], ES-FM-2014-011: Cb. materialov mezhdunarodnogo nauchnogo e-simpoziuma. Rossiya, g. Moskva, 27-28 dekabrya 2014 g. [ES-FM-2014-011: Сollector materials of the international scientific e-Symposium. Russia, Moscow, 27-28 December 2014]. Kirov: MTSNIP, 2015, pp. 101-113.
5. Kurochkin V.L., Kurochkin Yu.V., Zverev A.V., Ryabtsev I.I., Neizvestnyy I.G. Eksperimental'nye issledovaniya v oblasti kvantovoy kriptografii [Experimental research in the field of quantum cryptography], Fotonika [Photonics], 2012, No. 5, pp. 54-66.
6. Rumyantsev K.E. Zashchita protsessa sinkhronizatsii v sisteme kvantovogo raspredeleniya klyucha s avtomaticheskoy kompensatsiey polyarizatsionnykh iskazheniy [Synchronisation in quantum key distribution system with automatic indemnification of polarising distortions], Telekommunikatsii [Telecommunications], 2017, No. 3, pp. 36-44.
7. Rumyantsev K.E., Plenkin A.P. Sinkhronizatsiya sistemy kvantovogo raspredeleniya klyucha v rezhime odnofotonnoy registratsii impul'sov dlya povysheniya zashchishchennosti [Synchronization system of quantum key distribution in the regime of single-photon pulses registering for enhanced protection], Radiotekhnika [Radioengineering], 2015, No. 2, pp. 125-134.
8. Rumyantsev K.E., Plenkin A.P. Povyshenie effektivnosti algoritma vkhozhdeniya v sinkhronizm sistemy kvantovogo raspredeleniya klyuchey [Improving efficient of synchronization algorithm of quantum key distribution system], Izvestiya YuFU. Tekhnicheskie nauki [Izvestiya SFedU. Engineering Sciences], 2015, No. 8 (169), pp. 6-19.
9. Pljonkin A., Rumjantsev K. Preliminary Stage Synchronization Algorithm of Auto-compensation Quantum Key Distribution System with an Unauthorized Access Security, Proceeding of the 15th International Conference on Electronics, Information, and Communication 2016 (ICEIC 2016). Jan 27−30, 2016. Danang, Vietnam. Paper № 1570220423.
10. Pljonkin A., Rumjantsev K. Single-photon Synchronization Mode of Quantum Key Distribution System, Proceeding of the International Conference on Computational Techniques in Information and Communication Technology. 2016. (ICCTICT 2016). 11th – 13th March 2016. New Delhi, India. Paper 1570218403.
11. Guyadichi A., Simmeres D., Veroneze D., Biazi R., SHulinatti A., Rich I., Gilni M., Makyan'ti P. Kompaktnye moduli na osnove SPAD-detektorov dlya registratsii odinochnykh fotonov v blizhney infrakrasnoy oblasti spektra [Compact modules based on SPAD-detectors for registration single photons in the near infrared region of the spectrum], Fotonika [Photonics], 2012, No. 6 (36), pp. 32-40.
12. Pljonkin A.P. Features of the Photon Pulse Detection Algorithm in the Quantum Key Distribution System, Proceedings of the 2017 International Conference on Cryptography, Security and Privacy (ICCSP 2017). – P. 81-84. SP029. Wuhan, China March 17-19, 2017. ACM New York, NY, USA 2017. ISBN: 978-1-4503-4867-6. Doi: 10.1145/3058060.3058078.
13. Anton Plenkin, Konstantin Rumyantsev. Features of Detection of a Single-Photon Pulse at Synchronization in Quantum Key Distribution Systems. Track Name. Imaging & Vision, Proceedings of the 6th International Conference on Informatics, Electronics & Vision (ICIEV) 1−3.09.2017. University of Hyogo, Himeji, Hyogo, Japan. Paper 109.
14. Rumyantsev K.E., Pljonkin A.P. Synchronization Safety Problem in Quantum Key Distribution System, Proceedings of the International Conference on Electronics, Information, and Communication. 11-14 January 2017. Phuket, Thailand.
15. Rumyantsev K.E., Rudinsky E.A. Time synchronization method in quantum key distribution system with automatic compensation of polarization distortions, Proceedings of the 2017 International Conference on Cryptography, Security and Privacy (ICCSP 2017), Wuhan, China, March 17-19, 2017. Paper 91.
16. Rumyantsev K.E., Rudinskiy E.A. Dvukhetapnyy vremennoy algoritm sinkhronizatsii v sisteme kvantovogo raspredeleniya klyucha s avtomaticheskoy kompensatsiey polyarizatsionnykh iskazheniy [Two - stage timing algorithm of synchronization in quantum key distribution system with automatic polarization distortion compensation], Izvestiya YuFU. Tekhnicheskie nauki [Izvestiya SFedU. Engineering Sciences], 2017, No. 5 (190), pp. 75-89.
17. Rumyantsev K.E., Rudinsky E.A. Parameters of the two-stage synchronization algorithm for the quantum key distribution system, Proceedings of the 10th International Conference on Security of Information and Networks (SIN-2017), Manipal University Jaipur, Rajasthan, India, October 13-15, 2017. Paper 116.
18. Anton Plenkin, Konstantin Rumyansev, Eugene Rudinsky. Comparative analysis of single-photon synchronization algorithms in the quantum key distribution system, Proceedings of the IEEE East-West Design & Test Symposium (EWDTS), Serbia, Novi Sad, 29.09-2.10.2017. Paper 120.
19. Sheremet'ev A.G. Statisticheskaya teoriya lazernoy svyazi [Statistical theory of laser coupling]. Moscow: Svyaz', 1971, 264 p.
20. Eugene Rudinsky and Konstantin Rumyantsev. Graph-analytical method for estimating single-photon synchronization parameters of an auto-compensation quantum key distribution system, Proceedings of the First International Conference on Futuristic Trends in Network and Communication Technologies (FTNCT-2018). Department of Computer Science and Engineering, Jaypee University of Information Technology Waknaghat, Solan, Himachal Pradesh, India. February 9-10, 2018. Submission ID 166.

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