My previous work [arXiv:1902.00977] studied the dynamics of Rnyi entanglement entropy R _α in local quantum circuits with charge conservation. Initializing the system in a random product state, it was proved that R _α with Rnyi index grows no faster than ‘diffusively’ (up to a sublogarithmic correction) if charge transport is not faster than diffusive. The proof was given only for qubit or spin-1/2 systems. In this note, I extend the proof to qudit systems, i.e., spin systems with local dimension .

中文翻译：

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扩散qudit系统中Rnyi纠缠熵的动力学。

我以前的工作[的arXiv：1902.00977]研究Rnyi缠结熵的动力学- [R _α与电荷守恒本地量子电路。在随机产品状态初始化系统，它证明了[R _α与Rnyi指数增长不会高于“漫”（高达sublogarithmic校正）如果电荷传输不快于扩散。仅针对qubit或spin-1 / 2系统提供了证明。在本说明中，我将证明扩展到Qudit系统，即具有局部维数的自旋系统。