论文标题
量子网格状态和混合图
Quantum Grid States and Hybrid Graphs
论文作者
论文摘要
使用符号的拉普拉斯矩阵以及加权和混合图，我们提供了将图形解释为网格状态的其他方法。混合图提供了最通用的解释。表征网格状态的纠缠特性的现有图形方法适用于这些解释。这些其他类别的网格状态显示出具有丰富的纠缠特性，包括绑定的纠缠。此外，我们介绍了图形技术，以模块化的方式构建绑定的纠缠状态。我们还将网格状态模型扩展到超图。一方面，我们的工作为在电网状态模型中构建了更多混合量子状态的家族开辟了可能性。另一方面，它可以作为从图理论的角度研究纠缠问题的工具。
Using the signed laplacian matrix, and weighted and hybrid graphs, we present additional ways to interpret graphs as grid states. Hybrid graphs offer the most general interpretation. Existing graphical methods that characterize entanglement properties of grid states are adapted to these interpretations. These additional classes of grid states are shown to exhibit rich entanglement properties, including bound entanglement. Further, we introduce graphical techniques to construct bound entangled states in a modular fashion. We also extend the grid states model to hypergraphs. Our work, on one hand, opens up possibilities for constructing additional families of mixed quantum states in the grid state model. On the other hand, it can serve as an instrument for investigating entanglement problems from a graph theory perspective.
