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Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations

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3 Author(s)
Gibilisco, P. ; Dipt. SEFEMEQ, Univ. di Roma ''Tor Vergata, Rome ; Hiai, F. ; Petz, D.

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.

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Information Theory, IEEE Transactions on  (Volume:55 ,  Issue: 1 )