108 citations · 259 across the 14 of their papers we have counts for
14 papers
A unified approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information
Paolo Gibilisco, Davide Girolami, Frank Hansen
Local quantum uncertainty and interferometric power have been introduced by Girolami et al. in [1,2] as geometric quantifiers of quantum correlations. The aim of the present paper…
An inequality for expectation of means of positive random variables
Paolo Gibilisco, Frank Hansen
Suppose that are positive random variable and a numerical (commutative) mean. We prove that the inequality holds if an…
On a correspondence between regular and non-regular operator monotone functions
P. Gibilisco, F. Hansen, T. Isola
We prove that there is a bijection between the families of regular and non-regular operator monotone functions. As an application we give a new proof of the operator monotonicity o…
An inequality related to uncertainty principle in von Neumann algebras
Paolo Gibilisco, Tommaso Isola
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty principle. Independently, the same result was proved by Yanagi, Furuichi and Kuriyam…
Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras
Paolo Gibilisco, Tommaso Isola
Recently Kosaki proved an uncertainty principle for matrices, related to Wigner-Yanase-Dyson information, and asked if a similar inequality could be proved in the von Neumann algeb…
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…