1210.3749 (Koichi Yamagata et al.)

Quantum Local Asymptotic Normality based on a new Quantum Likelihood
Ratio    [PDF]

Koichi Yamagata, Akio Fujiwara, Richard D. Gill

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.

View original: http://arxiv.org/abs/1210.3749