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Polymatroids and polyquantoids

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    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

     
     
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