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Sachs [16] showed that a Boolean algebra is determined by its lattice of subalgebras.We establish the corresponding result for orthomodular lattices. We show that an orthomodular lattice L is determin...
Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State
Reverse Kochen-Specker theorem Hilbert space orthomodular lattices MMP diagrams Greechie diagrams strong set of states
2010/3/10
We propose a kind of reverse Kochen-Specker theorem that amounts to generating orthomodular lattices (OMLs) with exactly one state that do not admit properties of the Hilbert space. We apply MMP algor...