We study rates asymptotic of transformations between entangled states by local operations and classical communication and a sublinear amount of quantum communication. It is known that additive asymptotically continuous entanglement measures provide upper bounds on the rates that are achievable with asymptotically vanishing error. We show that for transformations between pure states, the optimal rate between any pair of states can be characterized as the infimum of such upper bounds provided by fully additive asymptotically continuous entanglement measures.

翻译：我们研究的是,由于地方运作和传统通信以及次线性量子通信而相互纠缠的各州之间的转换率。众所周知,添加性无症状连续的纠缠措施为随着无症状消散错误而可以实现的比率提供了上限。 我们表明,对于纯状态之间的转换,任何一对州之间的最佳转换率都可以被描述为完全添加性无症状连续纠缠措施提供的此类上限的最小值。