Operational Meanings of Orders of Observables Defined through Quantum Set Theories with Different Conditionals

zbMath1486.03089arXiv1701.00661MaRDI QIDQ5014787

Masanao Ozawa

Publication date: 8 December 2021

Full work available at URL: https://arxiv.org/abs/1701.00661

Mathematics Subject Classification ID

Nonclassical and second-order set theories (03E70) Quantum logic (03G12)

Related Items

Quantum set theory: transfer principle and De Morgan's laws ⋮ A BRIDGE BETWEEN Q-WORLDS ⋮ Sequent Calculi for Orthologic with Strict Implication ⋮ Reforming Takeuti's quantum set theory to satisfy De Morgan's laws

Cites Work

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• Commutators and decompositions of orthomodular lattices
• Quantum set theory extending the standard probabilistic interpretation of quantum theory
• Quantum perfect correlations
• The commutator and solvability in a generalized orthomodular lattice
• The logic of quantum mechanics
• Transfer principle in quantum set theory
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice
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