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Erschienen in:
1998 | OriginalPaper | Buchkapitel
Stochastic Positive Flows and Quantum Filtering Equations
verfasst von : V. P. Belavkin
Erschienen in: Probability Towards 2000
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Quantum stochastic completely positive flows and Radon-Nikodym derivatives in Fock scale are defined. A characterization of the unbounded stochastic generators of completely positive flows is given and the minimal solutions to the quantum stochastic evolution equations are constructed. This suggests the general form of classical as well as quantum stochastic filtering evolutions with respect to the Wiener (diffusion), Poisson (jumps), or general quantum noise.