The stability of quantum Markov filters

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van Handel, Ramon
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Abstract
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When are quantum filters asymptotically independent of the initial state? We show that this is the case for absolutely continuous initial states when the quantum stochastic model satisfies an observability condition. When the initial system is finite dimensional, this condition can be verified explicitly in terms of a rank condition on the coefficients of the associated quantum stochastic differential equation.
Comment: Final version
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Mathematical Physics, Mathematics - Operator Algebras, Mathematics - Probability
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