生成非经典相关而无需完全对齐测量
Generating nonclassical correlations without fully aligning measurements
摘要:
我们调查的情况下,空间上分离的缔约方进行测量随机选择的基础上的N-partite Greenberger-Horne-Zeilinger状态。我们表明,没有任何对齐的测量,观察者将获得违反贝尔不等式的相关性的概率,迅速接近1 N的增加,这个概率是强大的对噪声。我们还证明,限制这些随机选择的测量到一个平面垂直于一个共同的方向将总是产生相关性,违反一些贝尔不等式。具体地说,如果每个观察者选择他们的两个测量是局部正交的,那么N个观察者将违反两个贝尔不等式之一,其数量随N呈指数增长。这些结果也是强大的对噪声和扰动的每个观察员的参考方向从共同的方向。
英文摘要:
We investigate the scenario where spatially separated parties perform measurements in randomly chosen bases on an N-partite Greenberger-Horne-Zeilinger state. We show that without any alignment of the measurements, the observers will obtain correlations that violate a Bell inequality with a probability that rapidly approaches 1 as N increases and that this probability is robust against noise. We also prove that restricting these randomly chosen measurements to a plane perpendicular to a common direction will always generate correlations that violate some Bell inequality. Specifically, if each observer chooses their two measurements to be locally orthogonal, then the N observers will violate one of two Bell inequalities by an amount that increases exponentially with N. These results are also robust against noise and perturbations of each observer's reference direction from the common direction.
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