Abstract
A quantum stochastic model for an open dynamical system (receiver) with output channel of observation is given. An equation for the moment generating operator of the corresponding instrument is derived and reduced equations for the wave function and density matrix of the system under the observation are found. The dynamical problem of quantum filtering for a noncomutative output process is solved and a quantum stochastical equation for the optimal dynamical estimate of an input Markovian process is found. The results are illustrated on an example of optimal estimation of the Langevian force in a quantum oscilator (optical or Weber's antenna).
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References
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© 1991 Springer-Verlag
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Belavkin, V.P. (1991). Continuous non-demolition observation quantum filtering and optimal estimation. In: Bendjaballah, C., Hirota, O., Reynaud, S. (eds) Quantum Aspects of Optical Communications. Lecture Notes in Physics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53862-3_176
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DOI: https://doi.org/10.1007/3-540-53862-3_176
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