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20 January 2021
 
  » arxiv » math.LO/0011209

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Disjunctive Quantum Logic in Dynamic Perspective
Bob Coecke ;
Date 24 Nov 2000
Journal Studia Logica 71, 1-10 (2002)
Subject Logic; Mathematical Physics MSC-class: 03G12; 18B35; 81P10 | math.LO math-ph math.MP quant-ph
AbstractIn arXiv: math.LO/0011208 we proposed the {sl intuitionistic or disjunctive representation of quantum logic}, i.e., a representation of the property lattice of physical systems as a complete Heyting algebra of logical propositions on these properties, where this complete Heyting algebra goes equipped with an additional operation, the {sl operational resolution}, which identifies the properties within the logic of propositions. This representation has an important application ``towards dynamic quantum logic’’, namely in describing the temporal indeterministic propagation of actual properties of physical systems. This paper can as such by conceived as an addendum to ``Quantum Logic in Intuitionistic Perspective’’ that discusses spin-off and thus provides an additional motivation. We derive a quantaloidal semantics for dynamic disjunctive quantum logic and illustrate it for the particular case of a perfect (quantum) measurement.
Source arXiv, math.LO/0011209
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