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.
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Defines polyslot pslot[C] and srep[C] constructions on symmetric monoidal categories that reconstruct unitary supermaps and forbid time-loops in composition, with equivalence shown on path-contraction groupoids.
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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.
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Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension
Defines polyslot pslot[C] and srep[C] constructions on symmetric monoidal categories that reconstruct unitary supermaps and forbid time-loops in composition, with equivalence shown on path-contraction groupoids.