Implications of teleportation for nonlocality

Jonathan Barrett
Phys. Rev. A 64, 042305 – Published 11 September 2001
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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 αPs+(1α)I/4, where Ps is the projector corresponding to a singlet state and I is the identity. We find that our inequality is violated, implying nonlocality, if α>1/2. In addition, we extend Werner’s local hidden variable model to simulation of teleportation with the α=12 Werner state. Thus teleportation using this state does not involve nonlocality even though the fidelity achieved is 34, which is greater than the “classical limit” of 23. Finally, we comment on a result of Gisin’s and offer some philosophical remarks on teleportation and nonlocality generally.

  • Received 25 March 2001

DOI:https://doi.org/10.1103/PhysRevA.64.042305

©2001 American Physical Society

Authors & Affiliations

Jonathan Barrett

  • Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

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Issue

Vol. 64, Iss. 4 — October 2001

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