论文标题
较高维度非局部性对双噪声和顺序测量的鲁棒性
Robustness of Higher Dimensional Nonlocality against dual noise and sequential measurements
论文作者
论文摘要
违反Collins-Linden-Gisin-Masser-Popescu（CGLMP）不平等的鲁棒性是从测量和州噪声的双重角度研究的。为了量化它，我们引入了一个称为非局部区域区域的数量，该区域揭示了尺寸优势。具体而言，我们报告说，随着维度的增加，最大违反状态显示出与最大纠缠状态和增量缩放的非局部区域区域的增强，在这种情况下，增长的速度比可见度快。此外，我们检查了使用弱测量值的顺序违反CGLMP不平等的鲁棒性，并发现即使对于更高的维度，两名观察者表现出同时违反CGLMP不平等的行为，因为两qubit状态获得的持续存在。我们注意到，通过测量值的信息获得和干扰之间的互补性通过第一轮可见度的降低以及在第二轮中的增加而表现出来。此外，可以将白噪声添加到最大纠缠状态的白噪声量，从而给出两轮违规，随着尺寸减小，而对最大违反状态的违规状态并没有明显变化。
Robustness in the violation of Collins-Linden-Gisin-Masser-Popescu (CGLMP) inequality is investigated from the dual perspective of noise in measurements as well as in states. To quantify it, we introduce a quantity called the area of nonlocal region which reveals a dimensional advantage. Specifically, we report that with the increase of dimension, the maximally violating states show a greater enhancement in the area of nonlocal region in comparison to the maximally entangled states and the scaling of the increment, in this case, grows faster than visibility. Moreover, we examine the robustness in the sequential violation of CGLMP inequality using weak measurements and find that even for higher dimensions, two observers showing a simultaneous violation of the CGLMP inequality as obtained for two-qubit states persists. We notice that the complementarity between information gain and disturbance by measurements is manifested by the decrease of the visibility in the first round and the increase of the same in the second round with dimensions. Furthermore, the amount of white noise that can be added to a maximally entangled state so that it gives two rounds of the violation, decreases with the dimension, while the same does not appreciably change for the maximally violating states.
