{ "id": "quant-ph/0103105", "version": "v2", "published": "2001-03-18T19:18:20.000Z", "updated": "2002-02-08T19:56:22.000Z", "title": "Implications of Teleportation for Nonlocality", "authors": [ "Jonathan Barrett" ], "comment": "10 pages, no figures. Title changed to accord with Phys. Rev. A version. A note and an extra reference have been added. Journal reference added", "journal": "Phys. Rev. A 64, 042305 (2001)", "doi": "10.1103/PhysRevA.64.042305", "categories": [ "quant-ph" ], "abstract": "Adopting an approach similar to that of Zukowski [Phys. Rev. A 62, 032101 (2000)], we investigate connections between teleportation and nonlocality. We derive a Bell-type inequality pertaining to the teleportation scenario and show that it is violated in the case of teleportation using a perfect singlet. We also investigate teleportation using `Werner states' of the form x P + (1-x) I/4, where P is the projector corresponding to a singlet state and I is the identity. We find that our inequality is violated, implying nonlocality, if x > 1/sqrt(2). In addition, we extend Werner's local hidden variable model to simulation of teleportation with the x = 1/2 Werner state. Thus teleportation using this state does not involve nonlocality even though the fidelity achieved is 3/4 which is greater than the `classical limit' of 2/3. Finally, we comment on a result of Gisin's and offer some philosophical remarks on teleportation and nonlocality generally.", "revisions": [ { "version": "v2", "updated": "2002-02-08T19:56:22.000Z" } ], "analyses": { "keywords": [ "nonlocality", "werner state", "werners local hidden variable model", "implications", "extend werners local hidden variable" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }