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math-ph2007★ 7 cited
Quantum covariance, quantum Fisher information and the uncertainty principle
Paolo Gibilisco, Fumio Hiai, Denes Petz
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…
math-ph2007★ 36 cited
Large deviations and Chernoff bound for certain correlated states on a spin chain
Fumio Hiai, Milan Mosonyi, Tomohiro Ogawa
In this paper we extend the results of Lenci and Rey-Bellet on the large deviation upper bound of the distribution measures of local Hamiltonians with respect to a Gibbs state, in…