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Mathematics > Category Theory

arXiv:1308.4557v2 (math)
[Submitted on 21 Aug 2013 (v1), last revised 30 Dec 2014 (this version, v2)]

Title:Completely positive projections and biproducts

Authors:Chris Heunen (University of Oxford), Aleks Kissinger (University of Oxford), Peter Selinger (Dalhousie University)
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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.
Comments: In Proceedings QPL 2013, arXiv:1412.7917
Subjects: Category Theory (math.CT); Quantum Physics (quant-ph)
Cite as: arXiv:1308.4557 [math.CT]
  (or arXiv:1308.4557v2 [math.CT] for this version)
  https://doi.org/10.48550/arXiv.1308.4557
Journal reference: EPTCS 171, 2014, pp. 71-83
Related DOI: https://doi.org/10.4204/EPTCS.171.7

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Wed, 21 Aug 2013 13:02:53 UTC (50 KB)
[v2] Tue, 30 Dec 2014 02:31:22 UTC (28 KB)
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