论文标题
催化剂之间与层次结构的纠缠转化的统计数据
Statistics of Entanglement Transformation with Hierarchies among Catalysts
论文作者
论文摘要
通过本地操作和经典通信（LOCC），研究了典型的两分纯状态的分布。我们报告了单一和多拷贝制度的不同维度中可比和无与伦比状态的统计数据，并在状态转换与初始状态和目标状态的纠缠内容之间的差异之间建立了联系。通过对催化剂资源的分析，必须在对之间进一步进一步不可能的LOCC转换，我们证明了随机生成的催化剂的平均和最小纠缠中的普遍模式。此外，我们在不同种类的催化剂之间介绍了层次结构的概念，并展示了它们不仅可以帮助无与伦比的国家的转换，而且还可以作为对这一目标的成本较低的资源。我们确认催化剂的存在，称为强催化剂，即使使用多个副本，它最初是不可能的，它可以在单拷贝水平上激活LOCC之间的转换。
The distribution of typical bipartite pure states is studied within the framework of state transformation via local operation and classical communication (LOCC). We report the statistics of comparable and incomparable states in different dimensions for single- and multi-copy regimes and establish a connection between state transformation and the difference between the entanglement contents of the initial and the target states. From the analysis of catalyst resources, required to further otherwise impossible LOCC transformations between pairs, we demonstrate a universal pattern in the average and minimum entanglement of the randomly generated catalysts. Furthermore, we introduce a concept of hierarchy between different kinds of catalysts and show how they can not only aid in the conversion of incomparable states but can also act as a less costly resource towards this goal. We confirm the existence of catalysts, referred to as strong catalysts, which can activate LOCC transformation between pairs at the single-copy level, when it is initially impossible even with multiple copies.
