Quantum filter processes driven by Markovian white noises have classical versions

Radhakrishnan Balu

Quantum filter processes driven by Markovian white noises have classical versions

Mathematical Physics 2009-03-27 v1 math.MP

Authors: Radhakrishnan Balu

Abstract

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

Keywords

quantum classical transition

Cite

@article{arxiv.0903.4486,
  title  = {Quantum filter processes driven by Markovian white noises have classical versions},
  author = {Radhakrishnan Balu},
  journal= {arXiv preprint arXiv:0903.4486},
  year   = {2009}
}

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