Effects of measurement dependence on tilted CHSH Bell tests
Effects of measurement dependence on tilted CHSH Bell tests
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测量依赖性对倾斜 CHSH Bell 测试的影响
DOI：
10.1007/s11128-018-2060-1
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发表时间：
2018
影响因子：
2.5
通讯作者：
Zhang Pei
中科院分区：
文献类型：
--
作者：
Huang Xiao-Hong;Li Dan-Dan;Zhang Pei
基于倾斜的CHSH铃铛测试，与设备无关（DI）的随机性（DI）世代不同，与其他铃铛测试不同，使用了一些纠缠，但可以产生很多经过认证的随机性。在所有这些方案中，违反贝尔不平等的行为暗示着经过认证的随机性依赖于假设，即测量独立性。由于难以确保在实践铃铛测试中测量独立性，因此探索放松这一假设的影响至关重要（称为测量依赖性）。自然，一个问题，测量依赖性如何影响倾斜的CHSH铃铛测试。在本文中，我们回答了这个问题。具体而言，我们引入了具有柔性下限的测量依赖性，这些依赖性与固定下限不同，然后符合具有不同输入分布的倾斜CHSH铃铛测试的测量依赖性的影响。结果表明，与仅考虑固定下限的柔性下结构，测量依赖对倾斜的CHSH铃铛测试的影响更强大。这项工作的相关性突出了DI随机性扩增和其他DI量子信息任务的研究。
Device-independent (DI) randomness generations based on tilted CHSH Bell tests, different from other Bell tests, use a little entanglement but can produce quite a lot of certified randomness. In all these protocols, the violations of Bell inequalities which imply the generation of certified randomness rely on an assumption, i.e., measurement independence. Since ensuring measurement independence in a practical Bell test is difficult, it is crucial to explore effects of relaxing this assumption (called as measurement dependence). Naturally, a question, how measurement dependence affects tilted CHSH Bell tests, arise. In this paper, we answer this question. Concretely, we introduce measurement dependence with flexible lower bounds which are different from fixed lower bound and then qualify the effect of measurement dependence on tilted CHSH Bell tests with different input distributions. The results show that the effect of measurement dependence on tilted CHSH Bell tests with flexible lower bound of measurement dependence is more powerful than that of only considering fixed lower bound. The relevance of this work highlights the study of DI randomness amplification and other DI quantum information tasks.