Operational Galois adjunctions

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dc.creatorCoecke, Bob
dc.creatorMoore, David
dc.date2000-08-03
dc.date.accessioned2026-07-07T06:00:36Z
dc.date.available2026-07-07T06:00:36Z
dc.descriptionWe present a detailed synthetic overview of the utilisation of categorical techniques in the study of order structures together with their applications in operational quantum theory. First, after reviewing the notion of residuation and its implementation at the level of quantaloids we consider some standard universal constructions and the extension of adjunctions to weak morphisms. Second, we present the categorical formulation of closure operators and introduce a hierarchy of contextual enrichments of the quantaloid of complete join lattices. Third, we briefly survey physical state-property duality and the categorical analysis of derived notions such as causal assignment and the propagation of properties.
dc.description24 pages - survey with proofs; Chapter of the volume: 'Current Research in Operational Quantum Logic: Algebras, Categories, Languages', Fundamental Theories of Physics 111, Kluwer Academic Publishers (2000); edited by Bob Coecke, David Moore and Alex Wilce pp. 195-218
dc.identifierhttps://arxiv.org/abs/quant-ph/0008021
dc.identifierhttp://arxiv.org/abs/quant-ph/0008021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89009
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleOperational Galois adjunctions
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