Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics

DOI10.3150/19-BEJ1185zbMath1452.46050arXiv1804.03510OpenAlexW3020541729MaRDI QIDQ2174994

Akio Fujiwara, Koichi Yamagata

Publication date: 27 April 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03510

zbMATH Keywords

likelihood ratiolocal asymptotic normalityLebesgue decompositioncontiguityquantum statistics

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Noncommutative measure and integration (46L51) General quantum mechanics and problems of quantization (81S99)

Related Items

Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics ⋮ Efficiency of estimators for locally asymptotically normal quantum statistical models ⋮ Maximum logarithmic derivative bound on quantum state estimation as a dual of the Holevo bound

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