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.
Device-independent certification of indefinite causal order in the quantum switch.Nature Communications, 14(1):5811, 2023
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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.