Instrumental processes, entropies, information in quantum continual measurements

In this paper we will give a short presentation of the quantum Levy-Khinchin formula andof the formulation of quantum continual measurements based on stochastic differentialequations, matters which we had the pleasure to work on in collaboration with Prof.Holevo. Then we will begin the study of various entropies and relative entropies, whichseem to be promising quantities for measuring the information content of the continualmeasurement under consideration and for analysing its asymptotic behaviour.

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