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.

Gibilisco, P., Hiai, F., Petz, D. (2009). Quantum covariance, quantum fisher information, and the uncertainty relations. IEEE TRANSACTIONS ON INFORMATION THEORY, 55(1), 439-443 [10.1109/TIT.2008.2008142].

Quantum covariance, quantum fisher information, and the uncertainty relations

GIBILISCO, PAOLO;
2009-01-01

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.
2009
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
Con Impact Factor ISI
generalized variance; operator monotone functions; quantum covariance; quantum fisher information; uncertainty principle
Gibilisco, P., Hiai, F., Petz, D. (2009). Quantum covariance, quantum fisher information, and the uncertainty relations. IEEE TRANSACTIONS ON INFORMATION THEORY, 55(1), 439-443 [10.1109/TIT.2008.2008142].
Gibilisco, P; Hiai, F; Petz, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/37038
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