Title :
Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
Author :
Gibilisco, Paolo ; Hiai, Fumio ; Petz, Dénes
Author_Institution :
Dipt. SEFEMEQ, Univ. di Roma ´´Tor Vergata, Rome
Abstract :
In this paper, the relation between quantum covariances and quantum Fisher informations is studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given here considerably simplifies the previously proposed proofs and leads to more general inequalities.
Keywords :
covariance analysis; information theory; uncertain systems; operator monotone function; quantum Fisher information; quantum covariances; uncertainty relations; Density measurement; Information theory; Linear matrix inequalities; Mathematics; Parameter estimation; Performance evaluation; Quantum mechanics; State estimation; Statistics; Uncertainty; Generalized variance; operator monotone functions; quantum Fisher information; quantum covariance; uncertainty principle;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.2008142
