Information-theoretic principle entails orthomodularity of a lattice

Abstract

Quantum logical axiomatic systems for quantum theory usually include a postulate that a lattice under consideration is orthomodular. We propose a derivation of orthomodularity from an information-theoretic axiom. This provides conceptual clarity and removes a long-standing puzzle about the meaning of orthomodularity.

Version prior to published, with slight modifications

References in corpus (2)

• Characterizing quantum theory in terms of information-theoretic constraints
• The Significance of Information in Quantum Theory

Cited by in corpus (8)

• "Space is blue and birds fly through it"
• Epistemic Horizons and the Foundations of Quantum Mechanics
• Relational Quantum Mechanics and Probability
• Orthogonality and Dimensionality
• On the notion of reconstruction of quantum theory
• The Relational Interpretation of Quantum Physics
• Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition
• An attempt to understand relational quantum mechanics