中文

贝尔不等式的最大违背与原子级联光子

量子物理 2007-05-23 v2

摘要

从定域实在论及一个补充假设导出一个关联不等式。在真实实验情形下该不等式被违背 1.5 倍,而此前的不等式如 1969 年 Clauser-Horne-Shimony-Holt 不等式和 1974 年 Clauser-Horne 不等式被违背 2\sqrt 2 倍。因此该不等式的违背幅度约比此前不等式的违背幅度大 20.7%。此外,由于仅需测量两个探测概率,本不等式可非常简单地用于检验定域性。相比之下,Clauser-Horne 不等式需测量五个探测概率。

关键词

引用

@article{arxiv.quant-ph/9805034,
  title  = {Maximal violation of Bell's inequality and atomic cascade photons},
  author = {M. Ardehali},
  journal= {arXiv preprint arXiv:quant-ph/9805034},
  year   = {2007}
}

备注

LaTeX file, 18 pages, no figures. The paper has been significantly modified. It is shown that the in the case of ideal experiments, the inequality derived in this paper is equivalent to Bell's original inequality of 1965 which, as is well known, is violated by a factor of 1.5. The crucial point is that even in the case of real experiments where polarizers and detectors are non-ideal, the present inequality is violated by a factor of 1.5, whereas previous inequalities such as CHSH inequality of 1969 and CH inequality of 1974 are violated by a factor of $\sqrt 2$