Abstract
We develop a theory of local asymptotic normality in the quantum domain based on a novel quantum analogue of the log-likelihood ratio. This formulation is applicable to any quantum statistical model satisfying a mild smoothness condition. As an application, we prove the asymptotic achievability of the Holevo bound for the local shift parameter.
Citation
Koichi Yamagata. Akio Fujiwara. Richard D. Gill. "Quantum local asymptotic normality based on a new quantum likelihood ratio." Ann. Statist. 41 (4) 2197 - 2217, August 2013. https://doi.org/10.1214/13-AOS1147
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