基于有限群的广义团簇态
Generalized Cluster States Based on Finite Groups
摘要：
我们定义了广义集群状态的基础上有限群代数在类似的推广的复曲面代码的Kitaev量子双模型。我们这样做的CSS结构和有限群代数系统之间的一般对应关系，并将其应用到集群状态，以获得其推广。然后，我们调查这些国家的性质，包括他们的PEPS表示，全球对称性，和Kitaev量子双模型的关系。我们还讨论了这些状态的可能应用。
英文摘要：
We define generalized cluster states based on finite group algebras in analogy to the generalization of the toric code to the Kitaev quantum double models. We do this by showing a general correspondence between systems with CSS structure and finite group algebras, and applying this to the cluster states to derive their generalization. We then investigate properties of these states including their PEPS representations, global symmetries, and relationship to the Kitaev quantum double models. We also discuss possible applications of these states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
