|
| related topics |
| {alice, bob, state} |
| {bell, inequality, local} |
| {state, states, entangled} |
| {theory, mechanics, state} |
| {measurement, state, measurements} |
| {states, state, optimal} |
| {state, phys, rev} |
|
Implications of Teleportation for Nonlocality
Jonathan Barrett
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0103105
- categories:
- quant-ph
- comments:
- 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
- doi:
- 10.1103/PhysRevA.64.042305
- arxiv_id:
- quant-ph/0103105
- journal_ref:
- Phys. Rev. A 64, 042305 (2001)
- report_no:
- DAMTP-2001-27
- created:
- 2001-03-18
- updated:
- 2002-02-08
Full article ▸
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