Geometric contextuality from the Maclachlan-Martin Kleinian groups

DOI10.1007/s40509-015-0067-1zbMath1338.81026arXiv1509.02466OpenAlexW3105992717MaRDI QIDQ295028

Michel Planat

Publication date: 17 June 2016

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02466

zbMATH Keywords

finite geometriesdessins d'enfantsKleinian groupsgeometric contextuality

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Free nonabelian groups (20E05) Topology and geometry of orbifolds (57R18) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Contextuality in quantum theory (81P13) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32)

Related Items (2)

Zoology of atlas-groups: dessins d'enfants, finite geometries and quantum commutation ⋮ Contextuality with a small number of observables

Uses Software

• ATLAS Group Representations

Cites Work

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• Distinguished three-qubit `magicity' via automorphisms of the split Cayley hexagon
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• A Kochen-Specker inequality from a SIC
• The uniqueness of a certain generalized octagon of order \((2, 4)\)
• Geometry of contextuality from Grothendieck's coset space
• Quantum contextual finite geometries from dessins d'enfants
• The non-compact arithmetic generalized triangle groups.

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