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Graph approach to quantum systems

Pavicic, Mladen; McKay, Brendan D.; Megill, Norman D.; Fresl, Kresimir


Using a graph approach to quantum systems, we prove that descriptions of 3-dim Kochen-Specker (KS) setups as well as descriptions of 3-dim spin systems by means of Greechie lattices that we find in the literature are wrong. Correct lattices generated by McKay-Megill-Pavicic (MMP) hypergraphs and Hilbert subspace equations are given. To enable exhaustive generations of 3-dim KS setups by means of recently found "stripping technique," bipartite graph generation is used to provide us with...[Show more]

CollectionsANU Research Publications
Date published: 2010-10-11
Type: Journal article
Source: Journal of Mathematical Physics
DOI: 10.1063/1.3491766


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