论文标题
部分可观测时空混沌系统的无模型预测
Inflated Graph States Refuting Communication-Assisted LHV Models
论文作者
论文摘要
当不允许遥远的当事方交流时，标准的铃铛不平等会产生。 Barrett等。在某些网络图上发现的Pauli测量值发现的相关性反驳了局部隐藏变量（LHV）描述，甚至允许沿图形进行一些通信。最近，这在浅层电路和分布式计算方面发现了在经典计算和量子计算之间进行分离的应用。 Barrett等人提出的相关性。可以理解为来自三个方GHz状态相关性的扩展，可以嵌入图形状态。在这项工作中，我们提出了任何图形状态的系统扩展，我们将其称为膨胀的图状态，以表现出相关性，以反驳任何辅助LHV模型。我们进一步显示了具有7量线性的线性图状态的最小示例，以及5量和4个量子位的专门制作的较小示例。后者是使用二进制输入和输出的最小违规行为。
Standard Bell inequalities hold when distant parties are not allowed to communicate. Barrett et al. found correlations from Pauli measurements on certain network graphs refute a local hidden variable (LHV) description even allowing some communication along the graph. This has recently found applications in proving separation between classical and quantum computing, in terms of shallow circuits, and distributed computing. The correlations presented by Barrett et al. can be understood as coming from an extension of three party GHZ state correlations which can be embedded on a graph state. In this work, we propose systematic extensions of any graph state, which we dub inflated graph states such that they exhibit correlations which refute any communication assisted LHV model. We further show the smallest possible such example, with a 7-qubit linear graph state, as well as specially crafted smaller examples with 5 and 4 qubits. The latter is the smallest possible violation using binary inputs and outputs.
