Quantum covariance, quantum Fisher information and the uncertainty principle
Mathematical Physics
2007-12-10 v1 math.MP
Abstract
In this paper the relation between quantum covariances and quantum Fisher informations are studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given hereconsiderably simplifies the previously proposed proofs and leads to more general inequalities.
Keywords
Cite
@article{arxiv.0712.1208,
title = {Quantum covariance, quantum Fisher information and the uncertainty principle},
author = {Paolo Gibilisco and Fumio Hiai and Denes Petz},
journal= {arXiv preprint arXiv:0712.1208},
year = {2007}
}