Disjunctive Quantum Logic in Dynamic Perspective

Bob Coecke

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Disjunctive Quantum Logic in Dynamic Perspective

Bob Coecke

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Abstract

In 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.

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BibTeX RIS

Bob Coecke. 2002-04-22. Disjunctive Quantum Logic in Dynamic Perspective. https://arxiv.org/abs/math/0011209

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