A characterization of state spaces of orthomodular lattices
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Publication:1221773
DOI10.1016/0097-3165(74)90096-XzbMath0317.06007MaRDI QIDQ1221773
Publication date: 1974
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Complemented lattices, orthocomplemented lattices and posets (06C15) General theory of locally convex spaces (46A03)
Related Items (32)
What does pasting manage in OMPs? ⋮ Pasting of lattice-ordered effect algebras ⋮ Tensor products and probability weights ⋮ Orthomodular lattices with state-separated noncompatible pairs ⋮ States on orthoalgebras ⋮ Characterization of spaces of filtering states ⋮ A symmetric-difference-closed orthomodular lattice that is stateless ⋮ Small quantum structures with small state spaces ⋮ Polytope compatibility—From quantum measurements to magic squares ⋮ States on quantum structures versus integrals ⋮ On locally finite orthomodular lattices ⋮ Unnamed Item ⋮ Entropy and information causality in general probabilistic theories ⋮ Bibliography on quantum logics and related structures ⋮ Unnamed Item ⋮ Quantum structures without group-valued measures ⋮ Hilbert-space-valued states on quantum logics ⋮ Orthoalgebras as pastings of Boolean algebras ⋮ Independence of automorphism group, center, and state space of quantum logics ⋮ Exhaustive generation of orthomodular lattices with exactly one nonquantum state ⋮ Yosida-Hewitt and Lebesgue decompositions of states on orthomodular posets ⋮ A combinatorial approach to nonlocality and contextuality ⋮ Formalism and interpretation in quantum theory ⋮ A note on Jauch-Piron states ⋮ Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups ⋮ Jauch–Piron states on quantum logics ⋮ Existence of states on quantum structures ⋮ Measures on orthomodular partially ordered sets ⋮ Weak dispersion-free states and the hidden variables hypothesis ⋮ Graph approach to quantum systems ⋮ Unnamed Item ⋮ Jauch-Piron logics with finiteness conditions
Cites Work
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- An operational approach to quantum probability
- Orthomodular lattices admitting no states
- The theory of pure operations
- An improved formulation of some theorems and axioms in the axiomatic foundation of the Hilbert space structure of quantum mechanics
- Example Related to the Foundations of Quantum Theory
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