Graph-analytical method for estimating single photon synchronization parameters of an autocompensation quantum key distribution system
Konstantin E. Rumyantsev, Evgeny Rudinsky · 2018
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.