# Categorical Equivalences from State-Effect Adjunctions

@inproceedings{Furber2018CategoricalEF,
author={Robert Furber},
booktitle={QPL},
year={2018}
}
From every pair of adjoint functors it is possible to produce a (possibly trivial) equivalence of categories by restricting to the subcategories where the unit and counit are isomorphisms. If we do this for the adjunction between effect algebras and abstract convex sets, we get the surprising result that the equivalent subcategories consist of reflexive order-unit spaces and reflexive base-norm spaces, respectively. These are the convex sets that can occur as state spaces in generalized…
4 Citations

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### Edinburgh Explorer Scott Continuity in Generalized Probabilistic Theories

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Scott continuity is a concept from domain theory that had an unexpected previous life in the theory of von Neumann algebras. Scott-continuous states are known as normal states, and normal states are

### Dichotomy between deterministic and probabilistic models in countably additive effectus theory

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### Scott Continuity in Generalized Probabilistic Theories

• Physics
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Citation for published version: Furber, R 2020, Scott Continuity in Generalized Probabilistic Theories. in B Coecke & M Leifer (eds), Proceedings 16th International Conference on Quantum Physics and

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