Abstract
A multi-stage version of the theory of quantum-mechanical measurements and quantum-statistical decisions applied to the non-demolition control problem for quantum objects is developed. It is shown that in Gaussian case of quantum one-dimensional linear Markovian dynamical system with a quantum linear transmission line optimal quantum multistage decision rule consists of classical linear optimal control strategy and quantum optimal filtering procedure, the latter contains the optimal quantum coherent measurement on the output of the line and the recursive processing by Kalman-Busy filter. All the results are illustrated by an example of the optimal problem solution for a quantum one-dimensional linear oscillator on the input of a quantum wave transmission line.
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© 1987 Springer-Verlag Wien
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Belavkin, V. (1987). Non-Demolition Measurement and Control in Quantum Dynamical Systems. In: Blaquiere, A., Diner, S., Lochak, G. (eds) Information Complexity and Control in Quantum Physics. International Centre for Mechanical Sciences, vol 294. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2971-5_19
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DOI: https://doi.org/10.1007/978-3-7091-2971-5_19
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