论文标题
从稳定器中构建多方钟的不平等
Constructing Multipartite Bell inequalities from stabilizers
论文作者
论文摘要
自我测试属性的贝尔不平等在具有基本和实际应用的量子信息字段中发挥了重要作用。但是，发现多方状态具有自我测试财产的贝尔不平等，实际上并没有很多已知的候选人。在这项工作中，我们提出了一个系统的框架，以构建稳定器的铃铛不平等，这些稳定器最大程度地侵犯了通用稳定器状态，每个地方党都有两个可观察的。我们表明，构造的铃铛不等式可以自我测试本质上与设备无关的任何稳定态，并且仅当这些稳定器才能以设备依赖性方式唯一地确定状态时。这弥合了独立于设备和设备依赖性验证方法之间的差距。我们的框架可以为自测稳定器状态提供大量的铃铛不平等。其中，我们给出了两个具有不同优势的贝尔不平等的家族：（1）使用2N相关性的量子和经典界限持续比例的钟族不平等，（2）单对不等式的不等式，使用N+1相关性，既有效又适合于实现多目标系统的n+1相关性，从而改善了所有以前的鲁棒性自我测试边界。我们的框架不仅可以激发传统验证方法中更富有成果的多方铃铛不平等，而且还可以为其实际应用铺平道路。
Bell inequality with self-testing property has played an important role in quantum information field with both fundamental and practical applications. However, it is generally challenging to find Bell inequalities with self-testing property for multipartite states and actually there are not many known candidates. In this work, we propose a systematical framework to construct Bell inequalities from stabilizers which are maximally violated by general stabilizer states, with two observables for each local party. We show that the constructed Bell inequalities can self-test any stabilizer state which is essentially device-independent, if and only if these stabilizers can uniquely determine the state in a device-dependent manner. This bridges the gap between device-independent and device-dependent verification methods. Our framework can provide plenty of Bell inequalities for self-testing stabilizer states. Among them, we give two families of Bell inequalities with different advantages: (1) a family of Bell inequalities with a constant ratio of quantum and classical bounds using 2N correlations, (2) Single pair inequalities improving on all previous robustness self-testing bounds using N+1 correlations, which are both efficient and suitable for realizations in multipartite systems. Our framework can not only inspire more fruitful multipartite Bell inequalities from conventional verification methods, but also pave the way for their practical applications.
