Dániel Virosztek

activity

20132024

most citedThe metric property of the quantum Jensen-Shannon divergence

55 citations · 264 across the 28 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.FA2014

On a problem of Bauschke and Borwein

Dániel Virosztek

Consider a differentiable convex function $f : R^{n} \supset dom f \to R .$ The induced spectral function $F$ is given by $F = f \circ λ,$ where $λ: \m…

math-ph2014★ 24 cited

On the joint convexity of the Bregman divergence of matrices

József Pitrik, Dániel Virosztek

We characterize the functions for which the corresponding Bregman divergence is jointly convex on matrices. As an application of this characterization, we derive a sharp inequality…

math-ph2014★ 13 cited

Some inequalities for quantum Tsallis entropy related to the strong subadditivity

Dénes Petz, Dániel Virosztek

In this paper we investigate the inequality $S_{q} (ρ_{123}) + S_{q} (ρ_{2}) \leq S_{q} (ρ_{12}) + S_{q} (ρ_{23}) (*)$ where $ρ_{123}$ is a state on a finite dimensional Hilbert space $\mathcal{H}…