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math-ph2008
Riemannian metrics on positive definite matrices related to means
F. Hiai, D. Petz
The Riemannian metric on the manifold of positive definite matrices is defined by a kernel function in the form when $\sum_iλ…
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…