Abstract for the talk on 25.11.2016 (15:30 h)
Special SeminarFrantišek Matúš (Czech Academy of Sciences, Prague, Czech Republic)
Polyquantoids and quantoids: quantum counteparts of polymatroids and matroids
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.