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Local randomness in Hardy's correlations: Implications from the information causality principle

机译:Hardy相关性中的局部随机性:信息因果关系原理的含义

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摘要

Study of non-local correlations in terms of Hardy's argument has been quite popular in quantum mechanics. Hardy's non-locality argument depends on some kind of asymmetry, but a two-qubit maximally entangled state, being symmetric, does not exhibit this kind of non-locality. Here we ask the following question: can this feature be explained by some principle outside quantum mechanics? The no-signaling condition does not provide a solution. But, interestingly, the information causality principle (Pawlowski et al 2009 Nature 461 1101) offers an explanation. It shows that any generalized probability theory which gives completely random results for local dichotomic observable, cannot provide Hardy's non-local correlation if it is restricted by a necessary condition for respecting the information causality principle. In fact, the applied necessary condition imposes even more restrictions on the local randomness of measured observable. Still, there are some restrictions imposed by quantum mechanics that are not reproduced from the considered information causality condition.
机译:关于哈迪的论点,非局部相关性的研究在量子力学中非常流行。 Hardy的非局部性参数取决于某种不对称性,但是对称的两个量子位最大纠缠态不会表现出这种非局部性。在这里,我们提出以下问题:可以用量子力学之外的某些原理来解释这一特征吗?无信号条件不能提供解决方案。但是,有趣的是,信息因果关系原理(Pawlowski等2009 Nature 461 1101)提供了一种解释。它表明,如果为遵守信息因果关系法则的必要条件所限制,则任何能够给出本地二分可观察性完全随机结果的广义概率论都无法提供哈代的非本地相关性。实际上,所施加的必要条件对被测观测值的局部随机性施加了甚至更多的限制。尽管如此,量子力学所施加的一些限制并未从所考虑的信息因果条件中再现出来。

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