37 citations · 89 across the 6 of their papers we have counts for
7 papers
Bipartite secret sharing and staircases
Laszlo Csirmaz, František Matúš, Carles Padró
Bipartite secret sharing schemes have a bipartite access structure in which the set of participants is divided into two parts and all participants in the same part play an equivale…
Maximizing the Bregman divergence from a Bregman family
Johannes Rauh, František Matúš
The problem to maximize the information divergence from an exponential family is generalized to the setting of Bregman divergences and suitably defined Bregman families.
Entropy region and convolution
František Matúš, Lászlo Csirmaz
The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. Its shape is studied here by means of polymatroidal constructi…
The Quantum Entropy Cone of Stabiliser States
Noah Linden, František Matúš, Mary Beth Ruskai +1
We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-party system, prepared in a stabiliser state. We demonstrate here that entropy v…
Polymatroids and polyquantoids
František Matúš
When studying entropy functions of multivariate probability distributions, polymatroids and matroids emerge. Entropy functions of pure multiparty quantum states give rise to analog…
Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities
Imre Csiszár, František Matúš
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The integrands are finite on the positive and infinite on the nega…
Closures of exponential families
Imre Csiszar, Frantisek Matus
The variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of con…