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arXiv · 1804.03510

Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics

Akio Fujiwara·Koichi Yamagata
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Abstract

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.

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Akio Fujiwara, Koichi Yamagata. 2018-03-31. Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics. https://arxiv.org/abs/1804.03510

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