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arXiv 2107.09261quant-ph
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量子因果关系的检测漏洞及其对策

Detection loophole in quantum causality and its countermeasures

Zhu Cao

摘要:

量子因果关系违反了经典的因果直觉,是一种独特的量子特征,不同于其他量子现象,如纠缠和量子非定域性。为了避免量子因果关系中的检测漏洞,我们开始研究观察量子因果关系的检测效率要求。我们首先表明,以前的经典因果不等式需要检测效率至少95.97%(89.44%),以显示违反量子(非信号)相关性。接下来,我们推导出一个经典的因果不等式I_{222},并表明它需要较低的检测效率被违反,92.39%的量子相关和81.65%的非信号相关,从而大大降低了检测的要求。然后,我们将这个因果不等式推广到多个测量设置的情况下,并分析了相应的检测效率。在此之后,我们表明,以前的量子因果不等式需要检测效率至少94.29%,违反非信号相关性。随后,我们推导出一个量子因果约束J_{222},有一个较低的检测效率要求为91.02%的违规与非信号相关性。我们的工作铺平了道路的量子因果关系的实验演示,并表明因果不等式显着不同于贝尔不等式的检测效率的要求。

英文摘要:

Quantum causality violates classical intuitions of cause and effect and is a unique quantum feature different from other quantum phenomena such as entanglement and quantum nonlocality. In order to avoid the detection loophole in quantum causality, we initiate the study of the detection efficiency requirement for observing quantum causality. We first show that previous classical causal inequalities require detection efficiency at least 95.97% (89.44%) to show violation with quantum (nonsignaling) correlations. Next we derive a classical causal inequality I_{222} and show that it requires lower detection efficiency to be violated, 92.39% for quantum correlations and 81.65% for nonsignaling correlations, hence substantially reducing the requirement on detection. Then we extend this causal inequality to the case of multiple measurement settings and analyze the corresponding detection efficiency. After that, we show that previous quantum causal inequalities require detection efficiency at least 94.29% to violate with nonsignaling correlations. We subsequently derive a quantum causal bound J_{222} that has a lower detection efficiency requirement of 91.02% for violation with nonsignaling correlations. Our work paves the way towards an experimental demonstration of quantum causality and shows that causal inequalities significantly differ from Bell inequalities in terms of the detection efficiency requirement.

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