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Completely positive projections and biproducts

By Chris Heunen, Aleks Kissinger and Peter Selinger

Abstract

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.

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.6454
Provided by: CiteSeerX
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