Representation Systems, Orthoposets and Quantum Logic

Representation Systems and Quantum Structures

“…We started this study in [Brunet, 2004b] and in the present article, we show that under some conditions about the existence of particular points of view and about the way they relate to each other, the set of all partial descriptions of the system, regardless of their originating point of view, constitutes an orthomodular poset or an orthomodular lattice. This way, we provide a characterization of these quantum structures by means of purely classical notions such as that of point of view or of partial information.…”

“…Representation systems [Brunet, 2002, Brunet, 2004a, Brunet, 2004b are an algebraic structure whose purpose is to model partial knowledge about a system. They are based on two important related notions: points of view and partial information.…”

“…A detailled presentation of these structures can be found in [Brunet, 2004a] and in [Brunet, 2004b].…”