A new heuristic approach for contextuality degree estimates and its four- to six-qubit portrayals

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.

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Publication Details

Journal
Journal of Physics A Mathematical and Theoretical
Published
2025-04-29
DOI
https://doi.org/10.1088/1751-8121/add22b
Citations
1
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
2.48

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article

A new heuristic approach for contextuality degree estimates and its four- to six-qubit portrayals

Axel Müller, Colm Kelleher, Frédéric Holweck, Alain Giorgetti et al.
1 citations
Journal of Physics A Mathematical and Theoretical
Geochemistry and Geologic Mapping
2.48
article

A new heuristic approach for contextuality degree estimates and its four- to six-qubit portrayals

Axel Müller, Colm Kelleher, Frédéric Holweck, Alain Giorgetti, Метод Санига
article en
1 citations

Abstract

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.

Journal of Physics A Mathematical and TheoreticalVol. 58(21)
Centre National de la Recherche Scientifique (FR), Slovak Academy of Sciences (SK), Franche-Comté Électronique Mécanique Thermique et Optique - Sciences et Technologies (FR), Laboratoire Interdisciplinaire Carnot de Bourgogne (FR), Astronomical Institute of the Slovak Academy of Sciences (SK), Université Bourgogne Europe (FR), Université Marie et Louis Pasteur (FR), Auburn University (US)
Budapesti Műszaki és Gazdaságtudományi Egyetem, Agence Nationale de la Recherche, Vedecká Grantová Agentúra MŠVVaŠ SR a SAV, Agentúra Ministerstva Školstva, Vedy, Výskumu a Športu SR
Openalex Percentile: Top 11%
Geochemistry and Geologic Mapping
2.48
DOIOpen Access PDFOpenAlex
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