量子马尔可夫滤波器的稳定性
The stability of quantum Markov filters
摘要:
量子滤波器何时渐近独立于初始状态?我们表明,这是绝对连续的初始状态时,量子随机模型满足可观测性条件的情况下。当初始系统是有限维的,这个条件可以明确地验证在相关的量子随机微分方程的系数的秩条件。
英文摘要:
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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