On the condition of conversion of classical probability distribution families into quantum families

2014/12/11 by Keiji Matsumoto, Matsumoto, Keiji
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.1412.3680

arxiv created 2014/12/11 · openalex publication_date 2014/12/11 · arxiv updated 2014/12/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The purpose of the paper is to study the condition for a probability distribution family to a quantum state family. This is an (relatively) easy example of quantum version of "comparison of statistical experiments", which had turned out to supply deep insight into the foundation of classical and quantum statistics \citeStrasser\citeTorgersen. It turns out use of maximal quantum f-divergence is useful in characterizing the classical-quantum transformability.

Citations

• A quantum version of randomization criterion

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