论文标题
Majorana非亚伯测试和隐藏变量模型的层次结构
A hierarchy in Majorana non-abelian tests and hidden variable models
论文作者
论文摘要
Majorana实验的最新进展铺平了一种未来对非亚伯辫子统计数据和拓扑保护的量子信息处理的方法。但是，这些测试中的设计不足可能非常危险，并得出虚假阳性的结论。为了开发无漏洞的测试，必须进行仔细的理论分析。我们介绍了一系列经典的隐藏变量模型，以捕获Majorana系统的某些关键属性：非本地性，拓扑性非平凡性和量子干扰。这些模型可以帮助我们对Majorana属性进行分类，并设置Majorana非亚伯测试的边界和局限性：融合测试，编织测试和通过联合测量的测试集。我们发现在实验复杂性增加的主要测试中，我们发现了一个层次结构。
The recent progress of the Majorana experiments paves a way for the future tests of non-abelian braiding statistics and topologically-protected quantum information processing. However, a deficient design in those tests could be very dangerous and reach false-positive conclusions. A careful theoretical analysis is necessary in order to develop loophole-free tests. We introduce a series of classical hidden variable models to capture certain key properties of Majorana system: non-locality, topologically non-triviality, and quantum interference. Those models could help us to classify the Majorana properties and to set up the boundaries and limitations of Majorana non-abelian tests: fusion tests, braiding tests and test set with joint measurements. We find a hierarchy among those Majorana tests with increasing experimental complexity.
