Implications of Teleportation for Nonlocality

Details Implications of Teleportation for Nonlocality Implications of Teleportation for Nonlocality

2001-03-18

arxiv.org/abs/quant-ph/0103105v2

Phys. Rev. A 64, 042305 (2001)

Physics

Quantum Physics

10 pages, no figures. Title changed to accord with Phys. Rev. A version. A note and an extra reference have been added. Journa

Scientific paper

10.1103/PhysRevA.64.042305

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.

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