On the possibility of using optical Y-splitter in quantum random number generation systems based on fluctuations of vacuum

Quantum random number generation allows the obtaining of true random numbers that can be used for applications (e.g.,a cryptography) requiring a high degree of randomness. In this paper, we give a mathematical description of a quantum random number generation system using homodyne detection. As a result of the theoretical research, we obtained the description of the relationship between beam splitter input radiation and di erential current on detectors after beam splitting. We derived equations allowing one to estimate the scheme parameters imperfection impact on measurement results. We also obtained mathematical expressions, demonstrating the equivalence of quantum description of Y-splitter and beam splitter with two inputs, which allows the use Y-splitter for the implementation of quantum random number generation systems based on vacuum quantum fluctuations.