It from qubit: how to draw quantum contextuality

Abstract

Wheeler's {\it observer-participancy} and the related {\it 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 {\it dessins d'enfants} to reveal the topological and (non)algebraic machinery underlying the measurement acts and their information content.

FQXi Essay Contest - It from Bit or Bit from It? June 2013

References in corpus (9)

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Cited by in corpus (5)

• Geometry of contextuality from Grothendieck's coset space
• Quantum contextual finite geometries from dessins d'enfants
• Mermin pentagrams arising from Veldkamp lines for three qubits
• The magic three-qubit Veldkamp line: A finite geometric underpinning for form theories of gravity and black hole entropy
• A moonshine dialogue in mathematical physics