[2106.01209v2] CPM Categories for Galois Extensions
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Quantum Physics

arXiv:2106.01209v2 (quant-ph)
[Submitted on 2 Jun 2021 (v1), last revised 13 Sep 2021 (this version, v2)]

Title:CPM Categories for Galois Extensions

Authors:James Hefford (University of Oxford), Stefano Gogioso (University of Oxford)
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Abstract:By considering a generalisation of the CPM construction, we develop an infinite hierarchy of probabilistic theories, exhibiting compositional decoherence structures which generalise the traditional quantum-to-classical transition. Analogously to the quantum-to-classical case, these decoherences reduce the degrees of freedom in physical systems, while at the same time restricting the fields over which the systems are defined. These theories possess fully fledged operational semantics, allowing both categorical and GPT-style approaches to their study.
Comments: In Proceedings QPL 2021, arXiv:2109.04886
Subjects: Quantum Physics (quant-ph); Category Theory (math.CT)
Cite as: arXiv:2106.01209 [quant-ph]
  (or arXiv:2106.01209v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2106.01209
Journal reference: EPTCS 343, 2021, pp. 165-192
Related DOI: https://doi.org/10.4204/EPTCS.343.9

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Wed, 2 Jun 2021 14:52:41 UTC (58 KB)
[v2] Mon, 13 Sep 2021 00:49:59 UTC (46 KB)
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