7 citations · 8 across the 5 of their papers we have counts for
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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…
A Robertson-type Uncertainty Principle and Quantum Fisher Information
Paolo Gibilisco, Daniele Imparato, Tommaso Isola
Let be complex selfadjoint matrices and let be a density matrix. The Robertson uncertainty principle $$ det (Cov_ρ(A_h,A_j)) \geq det (- \frac{i}{2} Tr (ρ[A_h,A_j…