154 citations · 688 across the 38 of their papers we have counts for
40 papers
Geometric properties for a class of deformed trace functions
Frank Hansen
We investigate geometric properties of a class of trace functions expressed in terms of the deformed logarithmic and exponential functions. These trace functions and their properti…
Reduced relative quantum entropy
Frank Hansen
We introduce the notion of reduced relative quantum entropy and prove that it is convex. This result is then used to give a simplified proof of a theorem of Lieb and Seiringer.
A note on the parallel sum
Frank Hansen
By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then u…
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…
Geodesic regression
Frank Hansen
The theory of geodesic regression aims to find a geodesic curve which is an optimal fit to a given set of data. In this article we restrict ourselves to the Riemannian manifold of…
Variational representations related to Tsallis relative entropy
Guanghua Shi, Frank Hansen
We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis rela…