Publication details
Conference Paper (international conference)
Polymatroids and polyquantoids
: Proceedings of the 9th Workshop on Uncertainty Processing, p. 126-136 , Eds: Kroupa Tomáš, Vejnarová Jiřina
: WUPES 2012, (Mariánské Lázně, CZ, 12.09.2012-15.09.2012)
: GA201/08/0539, GA ČR
: entropy function, polymatroid, quantum secret sharing, expansion
: http://library.utia.cas.cz/separaty/2012/MTR/matus-polymatroids and polyquantoids.pdf
(eng): 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.
: BA