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Quantum Local Asymptotic Normality based on a new Quantum Likelihood Ratio

by: Koichi Yamagata, Akio Fujiwara, Richard D. Gill
(14 Oct 2012)  Key: citeulike:11473039

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Abstract

We develop a theory of local asymptotic normality in a quantum regime 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.


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