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Communication Dans Un Congrès Année : 2022

Computer-assisted enumeration of finite geometries related to quantum contextuality

Résumé

The talk presents finite geometries, named $N$-qubit doily doilies ($N \geq 2$) related to operator-based proofs of quantum contextuality. We first show closed formulas for the numbers of linear and quadratic doilies for $N > 2$. Then we present an effective algorithm for the generation of all $N$-qubit doilies. Using this algorithm for $N=4$ and $N=5$, we provide a classification of $N$-qubit doilies in terms of types of observables they feature and number of negative lines they are endowed with.
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Dates et versions

hal-04038651 , version 1 (22-09-2023)

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  • HAL Id : hal-04038651 , version 1

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Alain Giorgetti, Axel Muller, Metod Saniga, Henri de Boutray, Frédéric Holweck. Computer-assisted enumeration of finite geometries related to quantum contextuality. Journée Mathématiques Appliquées et Sciences Pour l’Ingénieur et du Numérique, Nov 2022, Besançon, France. ⟨hal-04038651⟩
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