{ "id": "1404.3640", "version": "v2", "published": "2014-04-14T16:09:30.000Z", "updated": "2015-02-27T12:08:49.000Z", "title": "Graph-theoretical Bounds on the Entangled Value of Non-local Games", "authors": [ "André Chailloux", "Laura Mančinska", "Giannicola Scarpa", "Simone Severini" ], "comment": "10 pages, submission to the 9th Conference on the Theory of Quantum Computation, Communication, and Cryptography (TQC 2014)", "doi": "10.4230/LIPIcs.TQC.2014.67", "categories": [ "quant-ph" ], "abstract": "We introduce a novel technique to give bounds to the entangled value of non-local games. The technique is based on a class of graphs used by Cabello, Severini and Winter in 2010. The upper bound uses the famous Lov\\'asz theta number and is efficiently computable; the lower one is based on the quantum independence number, which is a quantity used in the study of entanglement-assisted channel capacities and graph homomorphism games.", "revisions": [ { "version": "v1", "updated": "2014-04-14T16:09:30.000Z", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-02-27T12:08:49.000Z" } ], "analyses": { "keywords": [ "non-local games", "entangled value", "graph-theoretical bounds", "graph homomorphism games", "quantum independence number" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1404.3640C" } } }