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Polymatroids and polyquantoids
- 1.0381752 - ÚTIA 2013 RIV CZ eng C - Conference Paper (international conference)
Matúš, František
Polymatroids and polyquantoids.
Proceedings of the 9th Workshop on Uncertainty Processing. Jindřichův Hradec: Faculty of Management, University of Economics, Prague, 2012 - (Kroupa, T.; Vejnarová, J.), s. 126-136. ISBN 978-80-245-1885-5.
[WUPES 2012. Mariánské Lázně (CZ), 12.09.2012-15.09.2012]
R&D Projects: GA ČR GA201/08/0539
Institutional support: RVO:67985556
Keywords : entropy function * polymatroid * quantum secret sharing * expansion
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2012/MTR/matus-polymatroids and polyquantoids.pdf
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.
Permanent Link: http://hdl.handle.net/11104/0212148
Number of the records: 1