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arXiv quant-ph/0601122quant-ph
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Popescu-Rohrlich盒的量子力学实现

Quantum Mechanical Realization of a Popescu-Rohrlich Box

S. Marcovitch, B. Reznik, L. Vaidman

摘要:

我们考虑由前选择和后选择决定的量子系综。与只有预先选定的合奏的情况下,我们表明,在这种情况下,在中间时间的测量结果的概率满足因果关系只有很少,这样的合奏一般可用于因果关系断开的区域之间的信号。我们表明,在限制条件下,有一定的非平凡的二部合奏,满足因果关系。这些系综导致了CHSH不等式的破坏,它超过了Tsirelson给出的最大量子破坏界$B_{\rm CHSH}\le 2\sqrt2$,并获得了最大破坏的Popescu-Rohrlich界$B_{\rm CHSH}\le 4$。这可以被视为超相关性的后验实现,最近被称为Popescu-Rohrlich盒。

英文摘要:

We consider quantum ensembles which are determined by pre- and post-selection. Unlike the case of only pre-selected ensembles, we show that in this case the probabilities for measurement outcomes at intermediate times satisfy causality only rarely; such ensembles can in general be used to signal between causally disconnected regions. We show that under restrictive conditions, there are certain non-trivial bi-partite ensembles which do satisfy causality. These ensembles give rise to a violation of the CHSH inequality, which exceeds the maximal quantum violation given by Tsirelson's bound, $B_{\rm CHSH}\le 2\sqrt2$, and obtains the Popescu-Rohrlich bound for the maximal violation, $B_{\rm CHSH}\le 4$. This may be regarded as an a posteriori realization of super-correlations, which have recently been termed Popescu-Rohrlich boxes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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