Implications of teleportation for nonlocality

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 alphaP(s) + (1 - alpha )l/4, where P-s is the projector corresponding to a singlet 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 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.