Noncommutative Lebesgue decomposition with application to quantum local asymptotic normality
Quantum Physics
2017-03-23 v1
Abstract
We develop a theory of local asymptotic normality in the quantum domain based on a noncommutative extension of the Lebesgue decomposition. This formulation gives a substantial generalization of the previous paper [Yamagata, Fujiwara, and Gill (2013). Ann. Statist., 41, 2197-2217.], extending the scope of the quantum local asymptotic normality to a wider class of quantum statistical models that comprise density operators of mixed ranks.
Cite
@article{arxiv.1703.07535,
title = {Noncommutative Lebesgue decomposition with application to quantum local asymptotic normality},
author = {Akio Fujiwara and Koichi Yamagata},
journal= {arXiv preprint arXiv:1703.07535},
year = {2017}
}