The stability of quantum Markov filters

Details The stability of quantum Markov filters The stability of quantum Markov filters

2007-09-14

arxiv.org/abs/0709.2216v2

Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, 153-172 (2009)

Physics

Mathematical Physics

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Scientific paper

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.

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