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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Correspodence between quantoids and matroids
 Miklín, Vojtěch ; Matúš, František (advisor) ; Mohammadi, Fatemeh (referee)
The notion of quantoid is an analogy to the notion of matroid in the context of quantum realm. This thesis summarizes basic properties of quantoids and the correspondence between quantoids and selfdual matroids. A new set of axioms is derived as an alternative to the set which was used as the original definition of quantoid. A catalog enumerating all quantoids with the size of their ground set up to 5 elements is attached in the appendix and a larger database of quantoids (up to 7 elements in the ground set) is enclosed as an attachment of this thesis.
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Polymatroids and polyquantoids
 Matúš, František
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.
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