AI 中文总结
研究利用双局域贝尔不等式对三方量子网络进行与设备无关的认证，提出通用构造方法，该不等式允许任意二元测量，最大量子值可解析确定，能认证量子网络，是首个仅依赖非局域性见证最大违背的量子网络自测试结果。
AI 中文摘要
虽然量子网络作为具有更丰富关联结构的标准贝尔场景的自然扩展已得到广泛研究，但仍缺乏具有自测试特性的非线性贝尔不等式的一般构造。在这项工作中，我们提出了一种在最简单网络场景中构造此类不等式的通用方法，其中两个独立源向三个空间分离的观察者分发两体量子态。这些不等式允许任意数量的二元测量，并且被相应局部维度的最大纠缠态以及成对反对易的克利福德可观测量集最大程度地违背。重要的是，它们的最大量子值可以通过解析确定，这使其在与设备无关的应用中特别有前景。特别是，我们证明这些贝尔不等式可用于与设备无关地认证基础量子网络，包括源产生的量子态和各方测量的可观测量。据我们所知，这是第一个仅依赖于非局域性见证的最大违背的量子网络自测试结果。
英文摘要
While quantum networks have been extensively studied as a natural extension of the standard Bell scenario with a richer correlation structure, general constructions of nonlinear Bell inequalities with self-testing properties are still largely lacking. In this work, we present a general method for constructing such inequalities in the simplest network scenario, in which two independent sources distribute bipartite quantum states to three spatially separated observers. These inequalities allow for arbitrary numbers of binary measurements and are maximally violated by maximally entangled states of the corresponding local dimensions together with sets of pairwise anticommuting Clifford observables. Importantly, their maximal quantum values can be determined analytically, which makes them particularly promising for device-independent applications. In particular, we prove that these Bell inequalities can be used to device-independently certify the underlying quantum network, including both the quantum states produced by the sources and the observables measured by all parties. To the best of our knowledge, this is the first self-testing result for quantum networks that relies solely on the maximal violation of a nonlocality witness.
Comments13 pages, 2 figures
