A new heuristic approach for contextuality degree estimates and its four- to six-qubit portrayals
Year: 2025
Type: article
Abstract: We introduce and describe a new heuristic method for finding an upper bound on the degree of contextuality and the corresponding unsatisfied (i.e. non-reproducible by any NCHV model) part of a quantum contextual configuration with three-element contexts (i.e. lines) located in a multi-qubit symplectic polar space of order two. While the previously used method based on a SAT solver was limited to three qubits, this new method is much faster and more versatile, enabling us to also handle four- to six-qubit cases. The method is illustrated by the structure of unsatisfied parts of the associated contextual configurations represented by quadrics and full spaces; these entail well-known finite geometries like the split Cayley hexagon of order two, the dual polar space of rank three and order two as well as certain incidence graphs of binary projective spaces of small dimensions.
Institutions: Centre National de la Recherche Scientifique, Franche-Comté Électronique Mécanique Thermique et Optique - Sciences et Technologies, Université Marie et Louis Pasteur, Astronomical Institute of the Slovak Academy of Sciences, Université de technologie de belfort-montbéliard, Laboratoire Interdisciplinaire Carnot de Bourgogne, Université Bourgogne Europe, Auburn University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1190173965, Etude de la pile quantique : Algorithmes, modèles de calcul et simulation pour l’informatique quantique, G2659019386, Fyzika slnečnej atmosféry: spektroskopia, spektro-polarimetria a numerické modelovanie javov v atmosfére Slnka., G5473796233, Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité, G6803667113
OpenAlex ID: W4409913311