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We study quantum filters that are driven by basic quantum noises andconstruct classical versions. Our approach is based on exploiting the quantummarkovian component of the observation and measurement processes of thefilters. This approach leads in a natural way the classical versions for aclass of quantum filters. We consider quantum white noises derived from Wienerand Poisson processes that drive the signal and measurement processes andderive the recursive filtering equations using classical machinery.

Quantum filter processes driven by Markovian white noises have classical versions