Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics
Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics
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DOI：
10.3150/19-bej1185
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发表时间：
2018-03
期刊：
影响因子：
1.5
通讯作者：
A. Fujiwara;Koichi Yamagata
中科院分区：
文献类型：
--
作者：
A. Fujiwara;Koichi Yamagata
在此，我们基于勒贝格分解的一种新颖的量子模拟，发展了量子域中的连续理论。这样表述的理论与之前的论文[Yamagata， Fujiwara, and Gill， \textit{Ann]中引入的弱量子局部渐近正态性有关。统计学家。}农业\textbf{学报，41}(2013)2197-2217。]，从而大大扩大了量子统计的范围。
We herein develop a theory of contiguity in the quantum domain based upon a novel quantum analogue of the Lebesgue decomposition. The theory thus formulated is pertinent to the weak quantum local asymptotic normality introduced in the previous paper [Yamagata, Fujiwara, and Gill, \textit{Ann. Statist.}, \textbf{41} (2013) 2197-2217.], yielding substantial enlargement of the scope of quantum statistics.