{ "id": "1207.1952", "version": "v3", "published": "2012-07-09T05:57:11.000Z", "updated": "2013-02-26T14:34:37.000Z", "title": "The relation between nonlocality and contextuality for a biphoton", "authors": [ "Akihito Soeda", "Pawel Kurzynski", "Ravishankar Ramanathan", "Kavan Modi", "Dagomir Kaszlikowski" ], "comment": "Close to the published version", "journal": "Phys. Rev. A 87, 022120 (2013)", "doi": "10.1103/PhysRevA.87.022120", "categories": [ "quant-ph" ], "abstract": "We investigate the set of qutrit states in terms of symmetric states of two qubits that violate the minimal contextual inequality, namely the Klyachko-Can-Binicoglu-Shumovsky (KCBS) inequality. The physical system that provides a natural framework for this problem is a biphoton which consists of two photons in the same spatio-temporal mode and whose effective polarization behaves as a three-level quantum system. The relationship between the KCBS contextual inequality and the Clauser-Horne-Shimony-Holt (CHSH) inequality is investigated. We find that every biphotonic state that is contextual with respect to KCBS is nonlocal as per the CHSH test when the two photons are apart, but the converse is not true.", "revisions": [ { "version": "v3", "updated": "2013-02-26T14:34:37.000Z" } ], "analyses": { "subjects": [ "03.65.Ud", "03.65.Ta" ], "keywords": [ "contextuality", "nonlocality", "minimal contextual inequality", "three-level quantum system", "kcbs contextual inequality" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2013, "month": "Feb", "volume": 87, "number": 2, "pages": "022120" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvA..87b2120S" } } }