标题： 抛物统计学和一个秘密通信挑战 显示英文标题

标题： Parastatistics and a secret communication challenge

摘要： 物质拓扑相中最不寻常的特征之一是出现具有奇特统计性质的准粒子，例如二维系统中的非阿贝尔任意子。 最近，一种在任何维度上都能一致定义的不同类型的奇特粒子统计，称为聚统（parastatistics），也被证明可以在一类特殊的拓扑相中实现。 然而，涌现的聚统的物理意义仍然不清楚。 在这里，我们通过提出一个挑战游戏来展示聚统的独特物理结果，只有在包含聚粒子的物理系统中才能获胜，因为通过挑战需要两名参与者通过利用准粒子的非平凡交换统计以间接方式秘密通信。 使用涌现的聚粒子的获胜策略对噪声以及通过局部测量的最相关类型的窃听都是鲁棒的。 这为聚粒子提供了操作定义和实验身份测试，同时潜在地应用于秘密通信。 显示英文摘要

摘要： One of the most unconventional features of topological phases of matter is the emergence of quasiparticles with exotic statistics, such as non-Abelian anyons in two dimensional systems. Recently, a different type of exotic particle statistics that is consistently defined in any dimension, called parastatistics, is also shown to be possible in a special family of topological phases. However, the physical significance of emergent parastatistics still remains elusive. Here we demonstrate a distinctive physical consequence of parastatistics by proposing a challenge game that can only be won using physical systems hosting paraparticles, as passing the challenge requires the two participating players to secretly communicate in an indirect way by exploiting the nontrivial exchange statistics of the quasiparticles. The winning strategy using emergent paraparticles is robust against noise, as well as the most relevant class of eavesdropping via local measurements. This provides both an operational definition and an experimental identity test for paraparticles, alongside a potential application in secret communication.