Equational characterization for two-valued states in orthomodular quantum systems

DOI10.1016/S0034-4877(11)60027-XzbMath1301.81018arXiv1307.7417OpenAlexW2963434021MaRDI QIDQ429230

Christian de Ronde, Hector Freytes, Graciela Domenech

Publication date: 26 June 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7417

zbMATH Keywords

orthomodular latticesvarietiestwo-valued states

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items

Factor varieties ⋮ Two-valued states on Baer \(^\ast\)-semigroups ⋮ Logical approach for two-valued states on quantum systems ⋮ Kripke style semantic for the logic of two valued-states ⋮ Quasi-discriminator varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effect algebraic extensions of generalized effect algebras and two-valued states
• Sharp and unsharp observables on \(\sigma \)-MV algebras -- a comparison with the Hilbert space approach
• Every state on semisimple MV-algebra is integral
• MV-algebras with internal states and probabilistic fuzzy logics
• On varieties of MV-algebras with internal states
• Varieties of orthomodular lattices related to states
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Boolean orthoposets and two-valued states on them
• Continuous lattice effect algebras admitting order-continuous states
• Reasoning in quantum theory. Sharp and unsharp quantum logics.
• Partially additive measures and set representations of orthoposets
• De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
• Observables, states, and symmetries in the context of CB-effect algebras
• On the set representation of an orthomodular poset
• On States on MV-algebras and their Applications
• Partially additive states on orthomodular posets
• Jauch–Piron states
• Weak dispersion-free states and the hidden variables hypothesis
• Lattices With Involution
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I