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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★ 1 cited
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…