Quantum logic properties of hypergraphs

Journal Article · Thu Oct 01 00:00:00 EDT 1987 · Found. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00938010· OSTI ID:5825912

Klaey, M P

In quantum logics, the notions of strong and full order determination and unitality for states on orthomodular posets are well known. These notions are defined for hypergraphs and their state spaces in a consistent manner and the relations between them and to the notions defined for orthomodular posets are discussed. The state space of a hypergraph is a polytope. This polytope is a simplex if and only if every superposition of pure states is a mixture of these same pure states. Isomorphic hypergraphs have convexly isomorphic state spaces. A class of hypergraphs is given whose group of automorphisms is group-isomorphic to the group of convex automorphisms of their state spaces.

• Research Organization: Univ. of Massachusetts, Amherst
• OSTI ID: 5825912
• Journal Information: Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 17:10; ISSN FNDPA
• Country of Publication: United States
• Language: English

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