WORLD SCIENTIFIC eBooks

Two Quantum Analogues of Fisher Information from a Large Deviation Viewpoint of Quantum Estimation

Masahito Hayashi

Published Feb 1, 2005• 0 citations

Publisher

DOI: 10.1142/9789812563071_0029

Related papers

Two Quantum Analogues of the Large Deviation Cramer-Rao Inequality

Hiroshi Nagaoka

IEEE International Symposium on Information Theory (ISIT)Jan 1, 19944 citations

Quantum Fisher Information and Uncertainty Relations

Shunlong Luo

Letters in Mathematical PhysicsAug 1, 200094 citations

Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation

Masahito Hayashi

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.

arXiv:quant-ph/0202003Journal of Physics A Mathematical and GeneralAug 27, 200257 citations

On Fisher Information of Quantum Statistical Models

Hiroshi Nagaoka

WORLD SCIENTIFIC eBooksFeb 1, 200527 citations

Two quantum analogues of the large deviation Cramer-Rao inequality

R. Nagaoka

Considers a family of probability distributions smoothly parametrized by a single parameter /spl Theta/ ranging over an open set /spl Theta/ in R. Under some regularity conditions, large deviation Cramer-Rao inequality holds. Two types of quantum Fisher information is introduced in the analysis.>

IEEE International Symposium on Information Theory (ISIT)Dec 17, 20022 citations

Direct approach to quantum extensions of Fisher information

Ping Chen, Shunlong Luo

Frontiers of MathematicsJul 1, 200722 citations