Title: Quantum non demolition measurements: parameter estimation for mixtures of multinomials,
Abstract: In Quantum Non Demolition measurements, the sequence of observations is
distributed as a mixture of multinomial random variables. Parameters of the
dynamics are naturally encoded into this family of distributions. We show the
local asymptotic mixed normality of the underlying statistical model and the
consistency of the maximum likelihood estimator. Furthermore, we prove the
asymptotic optimality of this estimator as it saturates the usual Cramér Rao
bound.