论文标题
七个绑定纠缠的七个定义
Seven definitions of bipartite bound entanglement
论文作者
论文摘要
如果仅使用本地操作和经典通信，则纠缠的状态被绑定纠缠，如果一个人不能将任何数量的状态副本结合到最大纠缠状态。如果一个人正式将这种约束纠缠的概念形式化，则立即以四个不同的定义到达。另外，文献中通常使用至少三个定义，尤其是在有关绑定纠缠的第一篇论文中。在这里，我们回顾了关键的蒸馏协议，并研究了量子信息理论的不同结果如何相互作用，以证明所有七个定义最终都是等效的。我们的独立分析统一并扩展了文献中散布的先前结果，并揭示了绑定纠缠结构的细节。
An entangled state is bound entangled, if one cannot combine any number of copies of the state to a maximally entangled state, by using only local operations and classical communication. If one formalizes this notion of bound entanglement, one arrives immediately at four different definitions. In addition, at least three more definitions are commonly used in the literature, in particular so in the very first paper on bound entanglement. Here we review critical distillation protocols and we examine how different results from quantum information theory interact in order to prove that all seven definitions are eventually equivalent. Our self-contained analysis unifies and extends previous results scattered in the literature and reveals details of the structure of bound entanglement.
