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Information 2014, 5(2), 209-218; doi:10.3390/info5020209
Concept Paper

It from Qubit: How to Draw Quantum Contextuality

Institut FEMTO-ST, Centre National de la Recherche Scientifique, 32 Avenue de l'Observatoire, 25044 Besançon, France
This paper is a slightly updated version of a fourth-prize winning essay at the contest "It from Bit and Bit from It" of the Foundational Questions Institute in June 2013. The technical material of this note was substantially expanded from Planat et al. Quantum contextual finite geometries from dessins d'enfants. 2013, arXiv:1310.4267v2 [quant-ph].
Received: 8 January 2014 / Revised: 31 March 2014 / Accepted: 2 April 2014 / Published: 4 April 2014
(This article belongs to the Special Issue Physics of Information)
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Abstract

Wheeler’s observer-participancy and the related it from bit credo refer to quantum non-locality and contextuality. The mystery of these concepts slightly starts unveiling if one encodes the (in)compatibilities between qubit observables in the relevant finite geometries. The main objective of this treatise is to outline another conceptual step forward by employing Grothendieck’s dessins d’enfants to reveal the topological and (non)algebraic machinery underlying the measurement acts and their information content.
Keywords: it from bit; quantum contextuality; graphs; dessin d’enfant; projective plane it from bit; quantum contextuality; graphs; dessin d’enfant; projective plane
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Planat, M. It from Qubit: How to Draw Quantum Contextuality. Information 2014, 5, 209-218.

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