The critical detection efficiency for closing the detection loophole of some modified Bell inequalities

The critical detection efficiency for closing the detection loophole of some modified Bell inequalities
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弥补某些修正贝尔不等式检测漏洞的临界检测效率

DOI:
10.1007/s11128-019-2238-1
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发表时间:
2019-03
影响因子:
2.5
通讯作者:
Wen Qiao-Yan
Wen Qiao-Yan
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Li Dan-Dan;Gao Fei;Cao Ya;Wen Qiao-Yan

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我们知道,Bell不等式的违反揭示了非定域性。另一方面,任何Bell检验中的漏洞都可能导致对上述结论的解释出现问题,因为表面上违反Bell不等式可能并不对应于真实的违反局部实在论。作为一个重要的例子,检测漏洞出现在整体检测效率不大于某个阈值时。利用检测漏洞,在许多实验中可以观察到上述效应,其中部分检测到的事件可以导致明显的贝尔违反,而整个系综不能违反它们。然而,对贝尔不等式的真实的违反对于设备无关的量子信息处理任务是必要的。因此,研究Bell不等式的临界检测效率对于弥补Bell不等式的检测漏洞至关重要。在这里,通过考虑一些新的贝尔不等式(Mironowicz和Pawnovowski in Phys Rev A 88:032319,2013),我们给出了关闭这些贝尔不等式检测漏洞的临界检测效率。此外,我们证明了这些检测效率界的紧密性。也就是说,如果检测效率不大于临界值,我们构造局部隐变量模型来重现这些违规行为。综上所述,如果实验的检测效率超过本文推导的临界检测效率,则检测漏洞被消除。
As we know, the violations of Bell inequalities reveal nonlocality. On the other hand, loopholes in any Bell tests can cause the issues in the interpretation of the above conclusion, since an apparent violation of Bell inequality may not correspond to a real violation of local realism. The detection loophole, as an important example, arises when the overall detection efficiency is not larger than a certain threshold value. With the detection loophole, the above-mentioned effect can be observed in many experiments where the partial detected events can cause apparent Bell violations, while the entire ensemble cannot violate them. However, the real violations of Bell inequalities are necessary for device independence quantum information processing tasks. So, it is crucial to investigate the critical detection efficiency for closing the detection loophole of Bell inequalities. Here, by considering some novel Bell inequalities (Mironowicz and Pawłowski in Phys Rev A 88:032319, 2013), we give the critical detection efficiency for closing the detection loophole of these Bell inequalities. Furthermore, we prove the tightness of these detection efficiency bounds. That is, if detection efficiency is not larger than the critical one, we construct local hidden variable models to reproduce these violations. To sum up, if the detection efficiency of experiment exceeds the critical one derived here, the detection loophole is eliminated.
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