标题： 非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： 物质拓扑相最非传统的特征之一是准粒子出现的奇异统计，比如二维系统中的非阿贝尔任意子。 最近，在特殊的一类拓扑相中也证明了可以在任意维度上一致定义的另一种奇异粒子统计——para统计——也是可能存在的。 然而，para统计的物理意义仍然难以捉摸。 在这里，我们通过提出一个挑战游戏来展示para统计的独特物理后果，这个游戏只能通过携带para粒子的物理系统来赢得，因为通过利用准粒子的非平凡交换统计，参与游戏的两名玩家可以间接地秘密通信。 使用出现的para粒子的获胜策略对于噪声以及最相关的窃听类别（通过局域测量）都是稳健的。 这为para粒子提供了操作性定义和实验识别方法，并且可能在秘密通信中有潜在应用。 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.