document: Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation We discuss two quantum analogues of the Fisher information , the symmetric logarithmic derivative Fisher information and Kubo-Mori-Bogoljubov Fisher information from a large deviation viewpoint of quantum estimation and prove that the former gives the true bound and the latter gives the bound of consistent superefficient estimators . As another comparison , it is shown that the difference between them is characterized by the change of the order of limits
doc_bio_tags: O B I O O O O O B I I O B I O O O B I O O O O O O B I I I I O O O O O O B I I O B I O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: quantum analogues quantum estimation consistent superefficient estimators large deviation viewpoint symmetric logarithmic derivative fisher information
abstractive_keyphrases: kubo-mori-bogoljubov fisher information statistical inference