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Completely positive projections and biproducts

The recently introduced CP*-construction unites quantum channels and classical systems, subsuming the earlier CPM-construction in categorical quantum mechanics. We compare this construction to two earlier attempts at solving this problem: freely adding biproducts to CPM, and freely splitting idempotents in CPM. The CP*-construction embeds the former, and embeds into the latter, but neither embedding is an equivalence in general.

preprint2014arXivOpen access
Chris HeunenAleks KissingerPeter Selinger
math.CTquant-ph
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Chris HeunenAleks KissingerPeter Selinger

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