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Quantum Physics

arXiv:1210.0616 (quant-ph)
[Submitted on 2 Oct 2012]

Title:Completely positive classical structures and sequentializable quantum protocols

Authors:Chris Heunen (University of Oxford), Sergio Boixo (USC and Harvard University)
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Abstract:We study classical structures in various categories of completely positive morphisms: on sets and relations, on cobordisms, on a free dagger compact category, and on Hilbert spaces. As an application, we prove that quantum maps with commuting Kraus operators can be sequentialized. Hence such protocols are precisely as robust under general dephasing noise when entangled as when sequential.
Comments: In Proceedings QPL 2011, arXiv:1210.0298
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:1210.0616 [quant-ph]
  (or arXiv:1210.0616v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1210.0616
Journal reference: EPTCS 95, 2012, pp. 91-101
Related DOI: https://doi.org/10.4204/EPTCS.95.9

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Tue, 2 Oct 2012 00:34:45 UTC (25 KB)
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