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Article title IMPROVING EFFICIENT OF SYNCHRONIZATION ALGORITHM OF QUANTUM KEY DISTRIBUTION SYSTEM
Authors K.E. Rumyantsev, A.P. Pljonkin
Section SECTION I. INFORMATION SECURITY
Month, Year 08, 2015 @en
Index UDC 621.396.624
DOI
Abstract The two-pass quantum key distribution system (QKDS) with phase-encoded states of photons in the synchronization mode are studies. The synchronization signals are periodic sequence of photon pulses to protect against unauthorized access. An algorithm for synchronizing two pass autocompensation QKDS phase-encoded states of photons, involving the division of the repetition period of the optical pulses in the time window and the detection of the signal window. Feature of investigated the synchronization algorithm is that it is implemented in the single-photon mode detection, improving security of QKDS synchronization mode. The second feature of the algorithm is that for equal numbers of accumulated pulses in two adjacent time windows is decided reception photon pulse in any of these windows, if the number of accumulated pulses in it exceeds the number of detected pulses in the other windows. In a certain algorithm in this case, both windows were "noise" that was the reason for skip the signal box. To prove the effectiveness of the proposed synchronization algorithm for quantum key distribution system conducted simulation of the synchronization process. Initial data for modeling are the photon pulse duration of 1 ns, the repetition period optical pulse of 1024 ns , the pulse frequency of the dark count of 400 Hz, the average number of photoelectrons taken for the duration of the photon momentum 0.01, the counts for each time window 200. The number of statistical tests assumed to be 5 000. In the process of modeling the ratio of the length of the time window to the photon pulse duration takes 10 discrete values 1; 2; 4; 8; 16; 32; 64; 128; 256 and 512. It is found that when the number of time windows from 2 to 1024, the difference of the limiting values of the probability does not exceed 3.34 %. Moreover, the greatest value of the likelihood of correct detection occurs when the number of time windows equal to 2. The proposed algorithm reduces the probability of making a wrong decision in the equal number of accumulated pulses in adjacent time windows when the energy of the photon pulses signal distribution between the windows . Winning the proposed algorithm with the number of windows to 512, when the probability of belonging to two windows photon pulse exceeds 49%. Reduced more than 4 times the probability of making a wrong decision is reached when the number of windows 1024, when the duration of the time window is equal to the duration of the photon pulse. An analytical expression for engineering calculations of probability of correct detection. The maximum deviation of the simulation results of the proposed algorithm and calculations does not exceed 1.5 %. This demonstrates the ability to use analytical expressions to calculate the probability of correct detection of the reception of the photon momentum in the proposed algorithm of synchronization quantum key distribution system.

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Keywords Quantum key distribution system; photon pulse; synchronization; algorithm; efficiency and probability of synchronization mode
References 1. Gisin N., Ribordy G., Tittel W., Zbinden H. Quantum cryptography, Reviews of Modern Physics, 2002, Vol. 74, No. 1, pp. 145-195.
2. Rumyantsev K.E. Sistemy kvantovogo raspredeleniya klyucha: Monografiya [The system of quantum distribution of keys: the Monograph]. Taganrog: Izdatel'stvo TTI YuFU, 2011, 264 p.
3. Golubchikov D.M., Rumyantsev K.E. Obobshchennaya struktura sistem kvantovogo raspredeleniya klyuchey s fazovym kodirovaniem sostoyaniy fotonov [Generalized structure of systems of quantum key distribution with phase coding of States of photons], Izvestiya vuzov Rossii. Radioelektronika [Proceedings of the Russian Universities: Radioelectronics], 2011, No. 6, pp. 26-38.
4. Kvantovaya kriptografiya: idei i praktika [Quantum cryptography: ideas and practice], Under ed. S.Ya. Kilina, D.B. Khoroshko, A.P. Nizovtseva. Minsk: Belaruskaya navuka, 2008, 392 p.
5. Gal'yardi R.M., Karp Sh. Opticheskaya svyaz' [optical communication]: Translation from English, By ed. A.G. Sheremet'eva. Moscow: Svyaz'. 1978, 424 p.
6. Bychkov S.I., Rumyantsev K.E. Poisk i obnaruzhenie opticheskikh signalov: Monografiya [Search and detection of optical signals: a Monograph], By ed. K.E. Rumyantseva. Moscow: Radio i svyaz', 2000, 282 p.
7. Rumyantsev K.E., Plenkin A.P. Eksperimental'nye ispytaniya telekommunikatsionnoy seti s integrirovannoy sistemoy kvantovogo raspredeleniya klyuchey [Experimental testing of telecommunication networks with the integrated system of quantum key distribution], Telekommunikatsii [Telecommunications], 2014, No. 10, pp. 11-16.
8. Plenkin A.P. Issledovanie rezhima vkhozhdeniya v sinkhronizm pri ispol'zovanii fotonnykh impul'sov sistemy kvantovogo raspredeleniya klyucha [Study of mode of entering in synchronism with the pulses using photon system quantum key distribution], Sbornik materialov mezhdunarodnogo nauchnogo e-simpoziuma «Fiziko-matematicheskie metody i informatsionnye tekhnologii v estestvoznanii, tekhnike i gumanitarnykh naukakh» – Moskva, 27-28 dekabrya 2014 g. [Proceedings of the international scientific e-conference "Physico-mathematical methods and informational technologies in science, technology and the Humanities" Moscow, 27-28 December 2014], pp. 101-113.
9. 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.
10. 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 [Photonika], 2012, No. 5, pp. 54-66.
11. Rumyantsev K.E., Plenkin A.P. Sinkhronizatsiya sistemy kvantovogo raspredeleniya klyucha pri ispol'zovanii fotonnykh impul'sov dlya povysheniya zashchishchennosti [Synchronization of quantum key distribution system using photon pulses to improve the security] Izvestiya YuFU. Tekhnicheskie nauki [Izvestiya SFedU. Engineering Sciences], 2014, No. 8 (157), pp. 81-96.
12. Plenkin A.P. Rumyantsev K.E. Zavisimost' veroyatnosti obnaruzheniya fotonnogo impul'sa v rezhime sinkhronizatsii sistemy kvantovogo raspredeleniya klyuchey ot dlitel'nosti vremennogo okna [The dependence of the probability of detecting a photon pulse in the mode synchronization system of quantum key distribution on the duration of the time window], Sbornik materialov mezhdunarodnogo nauchnogo e-simpoziuma. Tekhnicheskie i estestvennye nauki: teoriya i praktika. Rossiya, g. Moskva, 27–28 marta 2015 g. [Proceedings of the international scientific e-Symposium. Technical and natural science: theory and practice. Russia, Moscow, 27-28 March 2015], By ed. K.E. Rumyantseva. Kirov: MTsNIP, 2015, pp. 59-72.
13. Scarani Valerio. Quantum Physics: A First Encounter: Interference, Entanglement, and Reality. Translated by Rachael Thew. Oxford: University Press, Mar 2006б 125 p.
14. Prakticheskaya kvantovaya kriptografiya [Practical quantum cryptography], Prezentatsionnyy material. 2-ya zimnyaya shkola. 4-17 noyabrya 2010 [Presentation material. 2nd winter school. 4-17 November 2010]. Kompaniya id Quantique (Switzerland).
15. Bennett Ch.H., Bessette F., Brassard G., Salvail L., Smolin J. Experimental quantum cryptography, Journal of Cryptology, 1992, No. 5, pp. 3-28.
16. Clavis. Plug & play quantum cryptography, id 3000. Specifications, id Quantique SA, Ver. 2.1, January 2005, 2 p.
17. Available at: http://www.idquantique.com/wordpress/wp-content/uploads/id230-specs.pdf.
18. Available at: http://www.idquantique.com/photon-counting/photon-counting-modules/id220.
19. Rumyantsev K.E., Plenkin A.P. Modelirovanie protsessa vkhozhdeniya v sinkhronizm sistemy kvantovogo raspredeleniya klyucha pri ispol'zovanii dlya registratsii fotonnykh impul'sov odnofotonnogo lavinnogo fotodetektora dlya povysheniya zashchishchennosti [Modeling of the process of entering into synchronism of the system of quantum distribution of the key when used for the registration of photon pulses single-photon avalanche photo-detector to enhance security], Svidetel'stvo ob ofitsial'noy registratsii programmnogo produkta dlya EVM № 2015610876 RF. Pravoobladatel': FGAOUVO «Yuzhnyy federal'nyy universitet», g. Rostov-na-Donu (RU). Zayavka 2014661772 ot 20.11.2014. Data registratsii 20.01.2015 [Certificate about official registration software for computers No. 2015610876 of the Russian Federation. Holder: Federal State-Owned Autonomy Educational Establishment of Higher Vocational Education "Southern Federal University", Rostov-on-don (RU). Application 2014661772 from 20.11.2014. Registration date 20.01.2015].
20. Rumyantsev K.E., Plenkin A.P. Modelirovanie protsessa sinkhronizatsii sistemy kvantovogo
raspredeleniya klyucha pri ispol'zovanii fotonnykh impul'sov dlya povysheniya zashchishchennosti [Modelling the synchronization process of the system of quantum key distribution using photon pulses to enhance security], Svidetel'stvo ob ofitsial'noy registratsii programmnogo produkta dlya EVM № RF. Pravoobladatel': Federal'noe gosudarstvennoe avtonomnoe obrazovatel'noe uchrezhdenie vysshego professional'nogo obrazovaniya
«Yuzhnyy federal'nyy universitet», g. Rostov-na-Donu (RU). 17 marta 2015. Zayavka 2014660503 ot 16.10.2014 [Certificate about official registration software for computers No. of the Russian Federation. Holder: Federal State-Owned Autonomy Educational Establishment of Higher Vocational Education "Southern Federal University", Rostov-on-don (RU). March 17, 2015. Application 2014660503 from 16.10.2014].
21. Sheremet'ev A.G. Statisticheskaya teoriya lazernoy svyazi [Statistical theory laser communication]. Moscow: Svyaz', 1971, 264 p.

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