Implications of teleportation for nonlocality - art. no. 042305

Authors
Citation
J. Barrett, Implications of teleportation for nonlocality - art. no. 042305, PHYS REV A, 6404(4), 2001, pp. 2305
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW A
ISSN journal
10502947 → ACNP
Volume
6404
Issue
4
Year of publication
2001
Database
ISI
SICI code
1050-2947(200110)6404:4<2305:IOTFN->2.0.ZU;2-0
Abstract
Adopting an approach similar to that of Zukowski [Phys. Rev. A 62, 032101 ( 2000)], we investigate connections between teleportation and nonlocality. W e derive a Bell-type inequality pertaining to the teleportation scenario an d show that it is violated in the case of teleportation using a perfect sin glet. We also investigate teleportation using "Werner states" of the form a lphaP(s) + (1 - alpha )l/4, where P-s is the projector corresponding to a s inglet state and I is the identity. We find that our inequality is violated , implying nonlocality, if alpha> 1/root2. In addition, we extend Werner's local hidden variable model to simulation of teleportation with the alpha = 1/2 Werner state. Thus teleportation using this state does not involve nonl ocality 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 o ffer some philosophical remarks on teleportation and nonlocality generally.