非循环任意子模型、热任意子error corrections和编织普适性
Acyclic anyon models, thermal anyon error corrections, and braiding universality
摘要：
非循环任意子模型是非阿贝尔任意子模型，其热任意子误差可以被校正。在这篇文章中，我们描述了非循环任意子模型，并提出了一个问题，如果限制非循环任意子模型是当前协议的一个缺陷，或者它可能与非阿贝尔任意子的计算能力内在相关。我们还得到了非循环任意子模型的一般结果，并发现了新的非循环任意子模型，如$SO(8)_2$和幂零有限群的无扭Dijkgraaf-Witten理论。
英文摘要：
Acyclic anyon models are non-abelian anyon models for which thermal anyon errors can be corrected. In this note, we characterize acyclic anyon models and raise the question if the restriction to acyclic anyon models is a deficiency of the current protocol or could it be intrinsically related to the computational power of non-abelian anyons. We also obtain general results on acyclic anyon models and find new acyclic anyon models such as $SO(8)_2$ and untwisted Dijkgraaf-Witten theories of nilpotent finite groups.
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