Information-theoretic principle entails orthomodularity of a lattice
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🪐 quant-ph
keywords
orthomodularityinformation-theoreticlatticequantumaxiomaxiomaticclarityconceptual
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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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