The pushout of entangled and parameterized quantum information in monoidal categories yields the external tensor product on flat K-theory bundles.
Sheafifiable homotopy model categories
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abstract
If a Quillen model category can be specified using a certain logical syntax (intuitively, ``is algebraic/combinatorial enough''), so that it can be defined in any category of sheaves, then the satisfaction of Quillen's axioms over any site is a purely formal consequence of their being satisfied over the category of sets. Such data give rise to a functor from the category of topoi and geometric morphisms to Quillen model categories and Quillen adjunctions.
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Entanglement of Sections: The pushout of entangled and parameterized quantum information
The pushout of entangled and parameterized quantum information in monoidal categories yields the external tensor product on flat K-theory bundles.