Quantum stochastic calculus and quantum nonlinear filtering
نویسندگان
چکیده
منابع مشابه
Quantum Stochastic Calculus and Quantum Nonlinear Filtering
A ?algebraic inde nite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an in nitely dimensional nuclear space. The class of nondemolition output QS processes in quantum open systems is characterized in terms of the QS calculus, and the problem of QS nonlinear lt...
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Detereministic classical dynamics, reversible quantum dynamics in the Schrr odinger-Heinsenberg pictures and irreversible dynamics of diiusion processes driven by Brownian motion admitìnnnitesimal' or`diierential' descriptions which can be expressed in terms of derivations of * algebras. One of the central aims of quantum stochastic calculus is to unify all these and explore for similar algebra...
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We introduce the Stratonovich version of quantum stochastic calculus including integrals with respect to emission (creation), absorption (annihilation) and scattering (conservation) processes. The calculus allows us to consider the limit of regular open dynamical systems as a quantum Wong-Zakai approximation theorem. We introduce distinct definitions of Itô Dyson and Stratonovich Dyson time-ord...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1992
ISSN: 0047-259X
DOI: 10.1016/0047-259x(92)90042-e