测量设备无关纠缠目击中的噪声量子输入漏洞

Kornikar Sen, Chirag Srivastava, S. Mal, Aditi Sen(De), U. Sen
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引用次数: 2

摘要

纠缠见证是一种在不知道全密度矩阵的前提下,在实验室中局部检测纠缠的有效方法。然而,在这种检测中,由于存在错误的测量或检测器的损失,可分离态可能被错误地指示为纠缠态。独立于测量设备的纠缠见证(MDI-EWs)即使在错误的测量和特定类型的有损探测器下也无法检测到假纠缠。在使用MDI-EWs忠实检测纠缠的情况下,一个关键的假设是,产生“量子输入”的准备设备是完美的,并且在传输过程中没有噪声。“量子输入”是要检测纠缠的量子态的附加输入。在这里,我们放宽了这些假设,并提供了一个研究噪声对量子输入的影响的一般框架,调用均匀和非均匀噪声模型。给出了均匀噪声映射保持MDI-EWs特性的充分条件。我们发现,在非均匀和纠缠噪声的环境下,MDI-EWs甚至可以检测出假纠缠。我们还研究了局部噪声的各种范式模型,并找到了揭示Werner状态类中的纠缠的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Noisy quantum input loophole in measurement-device-independent entanglement witnesses
Entanglement witnesses form an effective method to locally detect entanglement in the laboratory without having the prior knowledge of the full density matrix. However, separable states can be erroneously indicated as entangled in such detections in the presence of wrong measurements or loss in detectors. Measurement-device-independent entanglement witnesses (MDI-EWs) never detect fake entanglement even under wrong measurements and for a particular kind of lossy detectors. A crucial assumption in the case of faithful detection of entanglement employing MDI-EWs is that the preparation devices producing "quantum inputs" - which are inputs additional to the quantum state whose entanglement is to be detected - are perfect and there is no noise during their transmission. Here, we relax these assumptions and provide a general framework for studying the effect of noise on the quantum inputs, invoking uniform and non-uniform noise models. We derive sufficient conditions on the uniform noisy map for retaining the characteristic of MDI-EWs. We find that in the context of non-uniform and entangling noise, fake entanglement detection is possible even by MDI-EWs. We also investigate various paradigmatic models of local noise and find conditions of revealing entanglement in the class of Werner states.
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