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arXiv quant-ph/0103105quant-ph
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隐形传态对非定域性的影响

Implications of Teleportation for Nonlocality

Jonathan Barrett

摘要:

采用类似于Zukowski [Phys.Rev.A62,032101(2000)]的方法,我们研究了隐形传态和非定域性之间的联系。我们推导出一个贝尔型不等式有关的隐形传态的情况下,它是违反的情况下,使用一个完美的单线态的隐形传态。我们还研究了隐形传态使用'沃纳态'的形式x P +(1-x)I/4,其中P是对应于一个单态的投影仪和I是身份。我们发现,如果x > 1/sqrt(2),我们的不等式被违反,意味着非局部性。此外,我们还将Werner的局域隐变量模型推广到x = 1/2 Werner态的隐形传态的模拟。因此,使用这种状态的隐形传态不涉及非定域性,即使达到的保真度是3/4,这是大于2/3的“经典极限”。最后,我们对Gisin的一个结果作了评述,并对隐形传态和非定域性作了一般性的哲学评论。

英文摘要:

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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