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Workshop on Recent Advances in Photonics (WRAP)

Synchronization algorithm of quantum key distribution system with protection from unauthorized access

Konstantin E. Rumyantsev, Anton Pavlovich Pljonkin

Published Dec 1, 2015• 13 citations
Publisher

Abstract

The two pass auto compensation quantum key distribution system (QKDS) with phase-encoded states of photons in synchronization mode are studied. The algorithm of synchronization QKDS, presupposing the division of the repetition period of the optical pulses on the time windows and the detection of the signal window are offered. The peculiarity of the algorithm is that it is implemented in the single-photon mode, increasing the security of synchronization mode. The second feature of the algorithm is that when equal numbers of accumulated pulses in two adjacent time windows, a decision for admission photon pulse in any of the 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 “noises” that was the reason for missing the signal window. Modeling algorithm 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%. The requirements with respect to the duration of the time window and the photon momentum are formulated. It is shown that increasing the number of time windows from 2 to 1024 implies reducing the probability of less than 2% while maintaining the time of uncertainty in relation of emergence the photon pulse 512 times. An analytical expression for the calculation of the probability of correct detection of the signal time window in the proposed synchronization algorithm QKDS.

DOI
10.1109/wrap.2015.7805988

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The parameters of the two-stage synchronization algorithm for the auto-compensation quantum key distribution (QKD) systems are investigated. The synchronization algorithm does not provide for splitting a frame equal to the period of the optical clock to the time windows. The equipment operates in the search mode for receiving a photon. The equipment goes into test mode when receiving a photon. The reception of a photon in the test mode is possible only during the action of the strobe pulse. The rest of the time the channel does not react to photons and dark current impulses (DCI). The algorithm provides for sequential testing of frames with a stop at registration of the first photon. The algorithm makes a decision about the absence of a signal after a specified number of tests. The proposed algorithm makes it possible to use single-photon avalanche photodiodes (APDs) with a significant time delay between the moments of photon reception and the restoration of APD.

International Conference on Security of Information and Networks (SIN)•Oct 13, 2017•8 citations
The two pass auto compensation quantum key distribution system (QKDS) with phase-encoded states of photons in synchronization mode are studied. The algorithm of synchronization QKDS, presupposing the division of the repetition period of the optical pulses on the time windows and the detection of the signal window are offered. The peculiarity of the algorithm is that it is implemented in the single-photon mode, increasing the security of synchronization mode. The second feature of the algorithm is that when equal numbers of accumulated pulses in two adjacent time windows, a decision for admission photon pulse in any of the 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 “noises” that was the reason for missing the signal window. Modeling algorithm 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%. The requirements with respect to the duration of the time window and the photon momentum are formulated. It is shown that increasing the number of time windows from 2 to 1024 implies reducing the probability of less than 2% while maintaining the time of uncertainty in relation of emergence the photon pulse 512 times. An analytical expression for the calculation of the probability of correct detection of the signal time window in the proposed synchronization algorithm QKDS.
A two-pass auto-compensation fiber-optic quantum key distribution system (QKDS) with phase-encoded photon states in synchronization mode has been investigated. Preliminary stage sync initialization algorithm of QKDS that requires impulse-repetition period division into time windows as well as signal time window detection has been proposed. The peculiarity of the algorithm being investigated is that it is implemented in the single-photon mode which improves the synchronization mode security. The second peculiarity is that in case the number of accumulated impulses in two adjacent time windows is equal, it is decided to receive a photon impulse by any of these windows, if the number of accumulated impulses exceeds the number of registered impulses in the rest of the windows. Algorithm modeling has discovered that when the number of time windows is changed from 2 to 100000 probabilities limit values difference does not exceed 0.5 %. Requirements of time window duration ratio to the photon impulse have been formulated. It has been demonstrated that when the number of time windows is increased from 2 to 1024 the probability reduces by less than 1.5 % in case of time uncertainty decrease in respect to the photon impulse occurrence in 512 times. An analytical expression for computation of a signal time window correct detection probability in the proposed algorithm of the preliminary stage QKDS synchronization.
The synchronization a two pass self-compensation quantum key distribution system (QKDS) with phase-encoded photon states are reviewed. A modified algorithm for synchronizing a two pass self-compensation QKDS with phase-encoded photon states was proposed. The first is the emphasis on the implementation in the single-photon mode which improves the synchronization mode security. The second peculiarity is that in case the number of accumulated impulses in two adjacent time windows is equal, it is decided to receive a photon impulse by any of these windows, if the number of accumulated impulses exceeds the number of measured dark current pulses (DCP) in the rest of the windows. In the known algorithm in such a case both windows were taken as noise which was the reason of the signal window skip. An analytical expression for the correct detection probability calculation of the photon impulse receipt in the algorithm proposed for the sync initialization of the QKDS.
Purpose of the study: development and research of an algorithm for detecting an optical signal for synchronizing stations of a quantum key distribution system with increased protection against unauthorized access. Methods of research: probability distribution, statistical analysis, single-photon detection. Results: the importance of the time synchronization process, which is implemented through high-precision detection of an optical signal, is substantiated. An optical signal detection algorithm for a synchronization method with increased protection against unauthorized access is investigated. An improved algorithm for analyzing the time domain of synchronization signal propagation using avalanche photodetectors is proposed. It is shown that the proposed algorithm allows using avalanche photodetectors in the single photon counting mode. An analysis of the time characteristics of the developed synchronization algorithm is carried out and an analytical expression for calculating the time delay of detection is presented, which provides a sequential analysis of time windows taking into account the tunable recovery time of the photodetector. The analytical expression can be used for engineering calculations when designing a QKD system. The proposed algorithm significantly reduces the likelihood of unauthorized access to the synchronization process and allows determining the time parameters of the signal window with a given accuracy, which is critical for the subsequent operation of the quantum key distribution system. Scientific novelty: an algorithm for detecting an optical signal during synchronization is proposed, which is characterized by increased protection against unauthorized access. An analytical expression for engineering calculations of the delay of detection during synchronization is presented.
A two-pass fiber-optic quantum key distribution system with phase-encoded photon states in synchronization mode has been investigated. The possibility of applying the analytical expressions for the calculation of the correct detection probability of the signal time window at synchronization has been proved. A modernized algorithm of photon pulse detection, taking into account the dead time of the single-photon avalanche photodiode was proposed. The method of engineering an optical pulse detection process during the synchronization in a quantum key distribution system has been offered.
Abstract The analysis of time and probabilistic characteristics is carried out for a two-stage synchronization algorithm in a quantum key distribution (QKD) system with automatic compensation of polarization distortions. Formulas are obtained for calculating the missing probabilities a signal pair of windows, false alarm and successful synchronization. The dependences of the missing probability a signal pair on the average number of photons and noise pulses are investigated during the analysis of a pair of windows for different threshold levels. The numerical material obtained in the course of the study indicates the possibility of using for express calculations the probability of detecting a signal pair of windows formulas oriented to the normal distribution of the number of recorded pulses at the output of a single-photon avalanche photodiode.
The parameters of the two-stage synchronization algorithm for the auto-compensation quantum key distribution (QKD) systems are investigated. The synchronization algorithm does not provide for splitting a frame equal to the period of the optical clock to the time windows. The equipment operates in the search mode for receiving a photon. The equipment goes into test mode when receiving a photon. The reception of a photon in the test mode is possible only during the action of the strobe pulse. The rest of the time the channel does not react to photons and dark current impulses (DCI). The algorithm provides for sequential testing of frames with a stop at registration of the first photon. The algorithm makes a decision about the absence of a signal after a specified number of tests. The proposed algorithm makes it possible to use single-photon avalanche photodiodes (APDs) with a significant time delay between the moments of photon reception and the restoration of APD.