dorsal/arxiv
View SchemaImplications of Teleportation for Nonlocality
| Authors | Jonathan Barrett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103105 |
| URL | https://arxiv.org/abs/quant-ph/0103105 |
| DOI | 10.1103/PhysRevA.64.042305 |
| Journal | Phys. Rev. A 64, 042305 (2001) |
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.
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"abstract": "Adopting an approach similar to that of Zukowski [Phys. Rev. A 62, 032101\n(2000)], we investigate connections between teleportation and nonlocality. We\nderive a Bell-type inequality pertaining to the teleportation scenario and show\nthat it is violated in the case of teleportation using a perfect singlet. We\nalso investigate teleportation using `Werner states\u0027 of the form x P + (1-x)\nI/4, where P is the projector corresponding to a singlet state and I is the\nidentity. We find that our inequality is violated, implying nonlocality, if x \u003e\n1/sqrt(2). In addition, we extend Werner\u0027s local hidden variable model to\nsimulation of teleportation with the x = 1/2 Werner state. Thus teleportation\nusing this state does not involve nonlocality even though the fidelity achieved\nis 3/4 which is greater than the `classical limit\u0027 of 2/3. Finally, we comment\non a result of Gisin\u0027s and offer some philosophical remarks on teleportation\nand nonlocality generally.",
"arxiv_id": "quant-ph/0103105",
"authors": [
"Jonathan Barrett"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.042305",
"journal_ref": "Phys. Rev. A 64, 042305 (2001)",
"title": "Implications of Teleportation for Nonlocality",
"url": "https://arxiv.org/abs/quant-ph/0103105"
},
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