A Yoneda lemma for categorical supermaps gives a concrete representation via channel-state duality whenever the theory has it, yielding stable definitions for boxworld and real quantum theory.
Higher-order cpm constructions.EPTCS, 287:145–162, 2019
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Supermaps on generalised theories
A Yoneda lemma for categorical supermaps gives a concrete representation via channel-state duality whenever the theory has it, yielding stable definitions for boxworld and real quantum theory.