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Information-theoretic principle entails orthomodularity of a lattice

Alexei Grinbaum
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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.

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Alexei Grinbaum. 2005-09-15. Information-theoretic principle entails orthomodularity of a lattice. https://doi.org/10.1007/s10702-005-1129-0

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