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- W1845255247 abstract "We 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.KeywordsClosure OperatorNatural TransformationCategory TheoryComplete LatticeCoherence ConditionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W1845255247 date "2000-01-01" @default.
- W1845255247 modified "2023-09-26" @default.
- W1845255247 title "Operational Galois Adjunctions" @default.
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- W1845255247 doi "https://doi.org/10.1007/978-94-017-1201-9_8" @default.
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