Information-theoretic principle entails orthomodularity of a lattice

Details Information-theoretic principle entails orthomodularity of a lattice Information-theoretic principle entails orthomodularity of a lattice

2005-09-15

arxiv.org/abs/quant-ph/0509106v1

Found. Phys. Lett. 18 (6) 2005, pp. 563-572

Physics

Quantum Physics

Version prior to published, with slight modifications

Scientific paper

10.1007/s10702-005-1129-0

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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