Název:
Polymatroids and polyquantoids
Autoři:
Matúš, František Typ dokumentu: Příspěvky z konference Konference/Akce: WUPES 2012, Mariánské Lázně (CZ), 2012-09-12 / 2012-09-15
Rok:
2012
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
entropy function; expansion; polymatroid; quantum secret sharing Číslo projektu: GA201/08/0539 (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Proceedings of the 9th Workshop on Uncertainty Processing, ISBN 978-80-245-1885-5