Throughout this section E will be a locally compact separable metric space equipped with its
Borel-algebra BE/. We write MC. E/for the set of all locally finite, inner regular Borel …

We investigate and compare three distinguished geometric measures of bipartite quantum
correlations that have been recently introduced in the literature: the geometric discord, the …

The Riemannian metric on the manifold of positive definite matrices is defined by a kernel
function ϕ in the form KDϕ (H, K)=∑ i, jϕ (λi, λj)-1TrPiHPjK when∑ iλiPi is the spectral …

This up-to-date account of algebraic statistics and information geometry explores the
emerging connections between the two disciplines, demonstrating how they can be used in …

We show that the sum uncertainty relations for Wigner–Yanase skew information introduced
in Chen et al.(Quantum Inf Process 15: 2639–2648, 2016) can hold for an arbitrary metric …

In this paper, we give Schrödinger-type uncertainty relation using the Wigner–Yanase–
Dyson skew information. In addition, we give Schrödinger-type uncertainty relation by use of …

We prove the existence of a bijection between the regular and the non-regular operator
monotone functions satisfying a certain functional equation. As an application we give a new …

Local quantum uncertainty and interferometric power were introduced by Girolami et al. as
geometric quantifiers of quantum correlations. The aim of the present paper is to discuss …

We give a truly elementary proof of the convexity of metric-adjusted skew information
following an idea of Effros. We extend earlier results of weak forms of superadditivity to …

Abstract The Wigner function and Wigner-Yanase skew information are connected through
quantum coherence. States with high skew information often exhibit more pronounced …