标题： Z-状态代数用于可调多方纠缠浓缩协议 显示英文标题

标题： Z-States Algebra for a Tunable Multi-Party Entanglement-Distillation Protocol

摘要： W-States已经成为了标准的完全对称纠缠态，用于许多纠缠应用目的。 Z-States是W-States的推广，表现出优美的代数结构，使得达到所需结果的路径更短。 本文从简洁的定义出发，明确地提出了关于组合和纯化的几个基本定理，这些定理对于应用是必要的。 这些定理综合成一个通用的可调制纠缠纯化协议。 基于这个可调制协议，可以轻松开发出应用。 提供了一些例子来说明该方法的普遍性。 伴随的图形表示有助于快速理解协议的输入、操作和结果。 显示英文摘要

摘要： W-States have achieved the status of the standard fully symmetric entangled states, for many entanglement application purposes. Z-States are a generalization of W-States that display an elegant algebra, enabling short paths to desired results. This paper describes Z-States algebra starting from neat definitions and laying down explicitly some fundamental theorems on composition and distillation, needed for applications. These theorems are synthesized into a generic tunable Entanglement-Distillation Protocol. Applications are readily developed based upon the tunable protocol. A few examples are provided to illustrate the approach generality. A concomitant graphical representation allows fast comprehension of the protocol inputs, operations and outcomes.