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Polyquantoids and quantoids: quantum counteparts of polymatroids and matroids

  • František Matúš (Czech Academy of Sciences, Prague, Czech Republic)
G3 10 (Lecture hall)

Abstract

When studying entropy functions of multivariate probability distributions, polymatroids and matroids emerge. Entropy functions of pure multiparty quantum states give rise to analogous notions, called polyquantoids and quantoids. Polymatroids and polyquantoids are related via linear mappings and duality. Quantum secret sharing schemes that are ideal can be described by selfdual matroids. Expansions of integer polyquantoids to quantoids will be presented and linked to that of polymatroids.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail