Revealing contextuality of quantum configurations with a SAT solver
Axel Muller  1, *@  , Metod Saniga  2  , Alain Giorgetti  1  , Henri De Boutray  3  , Frédéric Holweck  4, 5  
1 : Université de Franche-Comté, CNRS, institut FEMTO-ST
F-25000 Besançon
2 : Astronomical Institute of the Slovak Academy of Sciences
05960 Tatranska Lomnica -  Slovaquie
3 : ColibrITD
Paris
4 : ICB, UMR 6303, CNRS, University of Technology of Belfort-Montbéliard, UTBM
90010 Belfort
5 : Department of Mathematics and Statistics, Auburn University
Auburn, AL -  États-Unis
* : Auteur correspondant

We present a use of a SAT solver to decide the quantum contextuality and evaluate the contextuality degree (a way to quantify contextuality) for a variety of point-line geometries located in binary symplectic polar spaces of small rank. With this code we were not only able to recover, in a more efficient way, all the results of a recent paper by de Boutray et al (J. Phys. A: Math. Theor. 55 475301, 2022), but also arrived at a bunch of new noteworthy results. This poster describes the approach, and presents the results for a number of subspaces of symplectic polar spaces whose rank ranges from two to seven, as well as the proofs that were found with the help of these results.

Working group: LVP



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