{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/symmetries-of-the-bell-correlation","title":"Symmetries of the Bell correlation inequalities","arxiv_id":"quant-ph/0305190","date":"2003-05-30","proceeding":null,"authors":["C. Sliwa"],"abstract":"Bell correlation inequalities for two sites and 2+n or 3+3 two-way measurements (\"dichotomic observables\") are considered. In the 2+n case, any facet of the classical experience polytope is defined by a CHSH inequality involving only two pairs of the observables. In the 3+3 case, contrary to earlier results, the action of the symmetry group reduces the set of all Bell inequalities to just 3 orbits, only one of them being \"new\" (not known from the 2+2 case). A detailed calculation for the singlet state of two qubits reveals the configurations of a maximal violation for this class of inequalities.","url_abs":"https://arxiv.org/abs/quant-ph/0305190v1","url_pdf":"https://arxiv.org/pdf/quant-ph/0305190v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"symmetries-of-the-bell-correlation","repo_url":"https://github.com/mtcq/belljm_multipartite","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}