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Development of an afterpulse effect model of InGaAs/InP single-photon avalanche diodes for application in quantum key distribution systems
Subject of study. A noise parameter, such as an afterpulse effect, that occurs in indium-gallium arsenide/indium phosphide single-photon avalanche diodes when operated as part of a single-photon detector in quantum key distribution systems was investigated. The aim of this study was the analysis of indium-gallium arsenide/indium phosphide single-photon avalanche diode afterpulse effect estimation approaches for real-world quantum key distribution systems and the development of a measurement technique and model for estimating the afterpulse effect in indium-gallium arsenide/indium phosphide single-photon avalanche diodes. Method. For the experimental measurement of the afterpulse probability in indium-gallium arsenide/indium phosphide single-photon avalanche diodes, a special stand was used. All components of this stand are controlled by LabVIEW software. The developed model of afterpulse probability is based on the non-Markovian character of this effect. Main results. A measurement technique and probabilistic model were developed to estimate the afterpulse based on the recursive nature of this effect in indium-gallium arsenide/indium phosphide single-photon avalanche diodes. This makes it possible to estimate the true value of the afterpulse probability by reaction with a single triggering of a single-photon detector composed of indium-gallium arsenide/indium phosphide single-photon avalanche diodes. Analysis of approaches to estimating the afterpulse used in real-world quantum key distribution systems was performed. The advantages of the developed approach over the standard methods that do not take into account the non-Markov nature of the effect under consideration are demonstrated. Practical significance. The proposed approach was developed in the form of two models (simple and complex), which allows a compromise between the accuracy of calculations and their complexity for the application of such devices in quantum key distribution systems.