QUANTUM LOCAL ASYMPTOTIC NORMALITY BASED ON A NEW QUANTUM LIKELIHOOD RATIO
QUANTUM LOCAL ASYMPTOTIC NORMALITY BASED ON A NEW QUANTUM LIKELIHOOD RATIO
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DOI：
10.1214/13-aos1147
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发表时间：
2013-08-01
影响因子：
4.5
通讯作者：
Gill, Richard D.
中科院分区：
文献类型：
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作者：
Yamagata, Koichi;Fujiwara, Akio;Gill, Richard D.
我们基于对数似然比的新颖量子模拟，发展了量子域中的局部渐近正态性理论。该公式适用于任何满足温和平滑条件的量子统计模型。作为一个应用，我们证明了局部平移参数的 Holevo 界的渐近可实现性。
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.