113 citations · 1.3k across the 83 of their papers we have counts for
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Relative Frobenius algebras are groupoids
Chris Heunen, Ivan Contreras, Alberto S. Cattaneo
We functorially characterize groupoids as special dagger Frobenius algebras in the category of sets and relations. This is then generalized to a non-unital setting, by establishing…
Pictures of complete positivity in arbitrary dimension
Bob Coecke, Chris Heunen
Two fundamental contributions to categorical quantum mechanics are presented. First, we generalize the CP-construction, that turns any dagger compact category into one with complet…
Entangled and sequential quantum protocols with dephasing
Sergio Boixo, Chris Heunen
Sequences of commuting quantum operators can be parallelized using entanglement. This transformation is behind some optimal quantum metrology protocols and recent results on quantu…
Characterizations of categories of commutative C*-subalgebras
Chris Heunen
We aim to characterize the category of injective *-homomorphisms between commutative C*-subalgebras of a given C*-algebra A. We reduce this problem to finding a weakly terminal com…
No-go theorems for functorial localic spectra of noncommutative rings
Benno van den Berg, Chris Heunen
Any functor from the category of C*-algebras to the category of locales that assigns to each commutative C*-algebra its Gelfand spectrum must be trivial on algebras of nxn-matrices…