A remark on states on orthomodular lattices. (English) Zbl 0803.06010
The author introduces several conditions imposed on states of orthoposets. Then she discusses the interplay of these conditions, finding connections with the Jauch-Piron property. She also investigates the consequences of the state space conditions on the intrinsic algebraic properties of orthoposets.
Reviewer: P.Pták (Praha)
MSC:
06C15 | Complemented lattices, orthocomplemented lattices and posets |
81P05 | General and philosophical questions in quantum theory |
81P15 | Quantum measurement theory, state operations, state preparations |