论文标题
网络非局部性的可能方法
Possibilistic approach to network nonlocality
论文作者
论文摘要
传统上，对贝尔非局部性的调查取决于观察某些测量结果的联合概率。在这项工作中，我们探讨了一种可能的方法，其中只有可能的结果模式很重要，并将其应用于具有独立来源的网络中的贝尔非局部性。我们提出了各种算法，用于确定是否可以通过经典资源或通过非信号资源来实现给定的结果模式。接下来，我们将说明这些方法考虑了三角形和方形网络（具有二进制输出和无输入），识别与网络结构不相容的模式，以及暗示非局部性的模式。特别是，我们获得了具有二进制结果的平方网络中量子非局部性的示例。此外，我们展示了如何以涉及关节概率的非线性铃铛类型不平等的形式构建证书来检测某种模式的非局部性。最后，我们表明，在网络中的来源部分相关的情况下，这些不平等仍然有效。
The investigation of Bell nonlocality traditionally relies on joint probabilities of observing certain measurement outcomes. In this work we explore a possibilistic approach, where only patterns of possible outcomes matter, and apply it to Bell nonlocality in networks with independent sources. We present various algorithms for determining whether a given outcome pattern can be achieved via classical resources or via non-signaling resources. Next we illustrate these methods considering the triangle and square networks (with binary outputs and no inputs), identifying patterns that are incompatible with the network structure, as well as patterns that imply nonlocality. In particular, we obtain an example of quantum nonlocality in the square network with binary outcomes. Moreover, we show how to construct certificates for detecting the nonlocality of a certain pattern, in the form of nonlinear Bell-type inequalities involving joint probabilities. Finally, we show that these inequalities remain valid in the case where the sources in the network become partially correlated.
