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Fisher informations and local asymptotic normality for continuous-time quantum Markov processes (2015)
Journal Article
Catana, C., Bouten, L., & Gu??, M. (2015). Fisher informations and local asymptotic normality for continuous-time quantum Markov processes. Journal of Physics A: Mathematical and Theoretical, 48(36), Article 365301. https://doi.org/10.1088/1751-8113/48/36/365301

We consider the problem of estimating an arbitrary dynamical parameter of an open quantum system in the input–output formalism. For irreducible Markov processes, we show that in the limit of large times the system-output state can be approximated by... Read More about Fisher informations and local asymptotic normality for continuous-time quantum Markov processes.

Sanov and central limit theorems for output statistics of quantum Markov chains (2015)
Journal Article
Horssen, M. V., & Gu??, M. (2015). Sanov and central limit theorems for output statistics of quantum Markov chains. Journal of Mathematical Physics, 56(2), Article 022109. https://doi.org/10.1063/1.4907995

In this paper, we consider the statistics of repeated measurements on the output of a quantum Markov chain. We establish a large deviations result analogous to Sanov’s theorem for the multi-site empirical measure associated to finite sequences of con... Read More about Sanov and central limit theorems for output statistics of quantum Markov chains.