2007/09/30 by Ramon van Handel · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.OA #math.PR
published as Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, 153-172 (2009) · Final version
arxiv created 2008/09/16 · arxiv updated 2009/12/01
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.