State transitions as morphisms for complete lattices
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classification
math.DS
math-phmath.MPquant-ph
keywords
categorycompleteenrichmentlatticesmorphismsquantaloidalstatetransitions
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We enlarge the hom-sets of categories of complete lattices by introducing `state transitions' as generalized morphisms. The obtained category will then be compared with a functorial quantaloidal enrichment and a contextual quantaloidal enrichment that uses a specific concretization in the category of sets and partially defined maps ($Parset$).
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