{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T04:44:46Z","timestamp":1773290686913,"version":"3.50.1"},"reference-count":22,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2024,4,18]],"date-time":"2024-04-18T00:00:00Z","timestamp":1713398400000},"content-version":"unspecified","delay-in-days":17,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["Math. Struct. Comp. Sci."],"published-print":{"date-parts":[[2024,4]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We present algorithms and a C code to reveal 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. [(2022). <jats:italic>Journal of Physics A: Mathematical and Theoretical<\/jats:italic><jats:bold>55<\/jats:bold> 475301], but also arrived at a bunch of new noteworthy results. The paper first describes the algorithms and the C code. Then it illustrates its power on a number of subspaces of symplectic polar spaces whose rank ranges from 2 to 7. The most interesting new results include: (i) non-contextuality of configurations whose contexts are subspaces of dimension 2 and higher, (ii) non-existence of negative subspaces of dimension 3 and higher, (iii) considerably improved bounds for the contextuality degree of both elliptic and hyperbolic quadrics for rank 4, as well as for a particular subgeometry of the three-qubit space whose contexts are the lines of this space, (iv) proof for the non-contextuality of perpsets and, last but not least, (v) contextual nature of a distinguished subgeometry of a multi-qubit doily, called a two-spread, and computation of its contextuality degree. Finally, in the three-qubit polar space we correct and improve the contextuality degree of the full configuration and also describe finite geometric configurations formed by unsatisfiable\/invalid constraints for both types of quadrics as well as for the geometry whose contexts are all 315 lines of the space.<\/jats:p>","DOI":"10.1017\/s0960129524000057","type":"journal-article","created":{"date-parts":[[2024,4,18]],"date-time":"2024-04-18T09:00:51Z","timestamp":1713430851000},"page":"322-343","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":4,"title":["New and improved bounds on the contextuality degree of multi-qubit configurations"],"prefix":"10.1017","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4169-2878","authenticated-orcid":false,"given":"Axel","family":"Muller","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9642-5879","authenticated-orcid":false,"given":"Metod","family":"Saniga","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0990-9611","authenticated-orcid":false,"given":"Alain","family":"Giorgetti","sequence":"additional","affiliation":[]},{"given":"Henri","family":"de Boutray","sequence":"additional","affiliation":[]},{"given":"Fr\u00e9d\u00e9ric","family":"Holweck","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2024,4,18]]},"reference":[{"key":"S0960129524000057_ref2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.94.045007"},{"key":"S0960129524000057_ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-013-0547-3"},{"key":"S0960129524000057_ref1","unstructured":"Bouillaguet, C. 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