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arxiv: 1308.4557 · v2 · pith:O2B2O26Fnew · submitted 2013-08-21 · 🧮 math.CT · quant-ph

Completely positive projections and biproducts

classification 🧮 math.CT quant-ph
keywords constructionbiproductsearlierembedsfreelyquantumaddingattempts
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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.

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