0381752 20240103201336.020121105235959.9 11 s. E cav_un_epca*0382179978-80-245-1885-5126-136Jindřichův HradecFaculty of Management, University of Economics, Prague2012KroupaTomášVejnarováJiřina entropy function polymatroid quantum secret sharing expansion cav_un_auth*0101161 Matúš František Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/MTR/matus-polymatroids and polyquantoids.pdf GA201/08/0539 GA ČR cav_un_auth*0239648 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 here polyquantoids and quantoids. Polymatroids and polyquantoids are related via linear mappings and duality. Quantum secret sharing schemes that are ideal are described by selfdual matroids. Expansions of integer polyquantoids to quantoids are studied and linked to that of polymatroids. cav_un_auth*0284097 WUPES 2012 Mariánské Lázně 12.09.2012-15.09.2012 CZ 2013 BA PR RVO:67985556 http://hdl.handle.net/11104/0212148 2012 cav_un_epca*0382179 Proceedings of the 9th Workshop on Uncertainty Processing 978-80-245-1885-5 126 136 Jindřichův Hradec Faculty of Management, University of Economics, Prague 2012 Kroupa Tomáš 340 Vejnarová Jiřina 340