arXiv 1407.74102014-07quant-ph

爱因斯坦-波多尔斯基-罗森光态的两个副本导致对EPR观点的反驳

Two Copies of the Einstein-Podolsky-Rosen State of Light Lead to Refutation of EPR Ideas

Krzysztof Rosołek, Magdalena Stobińska, Marcin Wieśniak, Marek Żukowski

备注：: 9 pages, 7 figures
发表信息：: Phys. Rev. Lett. 114, 100402 (2015)
DOI：: 10.1103/PhysRevLett.114.100402

摘要：

贝尔定理适用于原始爱因斯坦-波多尔斯基-罗森（EPR）状态的归一化近似。证明的构造需要难以执行的测量和二分的可观测量。通过注意到在II型下转换中产生的四模压缩真空态既可以看作近似EPR态的两个副本，又可以看作一种极化超单态，我们给出了一种直接利用它们的态来检验违反EPR概念的简单方法.所涉及的观测量只是偏振分束器输出端的光子数。合适的链式贝尔不等式基于距离的几何概念。对于一些设置，它们可能是量子信息应用的新工具，涉及非二分法性质的可观测量，因此具有更高的信息容量。在无限多个设置的极限下，我们得到了Greenberger-Horne-Zeilinger型矛盾：EPR推理指向相关性，而量子预测是一种相关关系。违反的不平等是完全抵抗贝尔实验中使用参数下转换源的多对发射。

英文摘要：

Bell's theorem applies to the normalizable approximations of the original Einstein-Podolsky-Rosen (EPR) state. The constructions of the proof require measurements difficult to perform, and dichotomic observables. By noticing the fact that the four mode squeezed vacuum state produced in type II down-conversion can be seen both as two copies of approximate EPR states, and also as a kind of polarization supersinglet, we show a straightforward way to test violations of the EPR concepts with direct use of their state. The observables involved are simply photon numbers at outputs of polarizing beam splitters. Suitable chained Bell inequalities are based on the geometric concept of distance. For a few settings they are potentially a new tool for quantum information applications, involving observables of a nondichotomic nature, and thus of higher informational capacity. In the limit of infinitely many settings we get a Greenberger-Horne-Zeilinger-type contradiction: EPR reasoning points to a correlation, while quantum prediction is an anticorrelation. Violations of the inequalities are fully resistant to multipair emissions in Bell experiments using parametric down-conversion sources.

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