[2003.08318] Hyper-decoherence in Density Hypercubes
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Quantum Physics

arXiv:2003.08318 (quant-ph)
[Submitted on 18 Mar 2020 (v1), last revised 6 Sep 2021 (this version, v3)]

Title:Hyper-decoherence in Density Hypercubes

Authors:James Hefford (University of Oxford), Stefano Gogioso (University of Oxford)
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Abstract:We study hyper-decoherence in three operational theories from the literature, all examples of the recently introduced higher-order CPM construction. Amongst these, we show the theory of density hypercubes to be the richest in terms of post-quantum phenomena. Specifically, we demonstrate the existence of a probabilistic hyper-decoherence of density hypercubes to quantum systems and calculate the associated hyper-phase group. This makes density hypercubes of significant foundational interest, as an example of a theory which side-steps a recent no-go result in an original and unforeseen way, while at the same time displaying fully fledged operational semantics.
Comments: In Proceedings QPL 2020, arXiv:2109.01534
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:2003.08318 [quant-ph]
  (or arXiv:2003.08318v3 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2003.08318
Journal reference: EPTCS 340, 2021, pp. 141-159
Related DOI: https://doi.org/10.4204/EPTCS.340.7

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Wed, 18 Mar 2020 16:17:36 UTC (41 KB)
[v2] Fri, 29 May 2020 10:51:29 UTC (42 KB)
[v3] Mon, 6 Sep 2021 03:10:26 UTC (32 KB)
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