Abstract

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.

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