Recently, Che et al presented a recurrence relation of multi-qubit states. Regarding this inspiration, we give and extend the recurrence relation of multi-qubit states to the recurrence relation of maximally qutrit entangled states. We also establish absolutely maximally entangled five qutrits states via maximally entangled four qutrits states. We also demonstrate that such a state is the 2-uniform state of five qutrits states.

中文翻译：

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通过递归关系构造五个绝对最大纠缠态

最近，Che等人提出了多量子位状态的递归关系。关于这一灵感，我们将多量子位态的递归关系赋予并扩展到最大量子态纠缠态的递归关系。我们还通过最大纠缠的四个qutrits状态建立了绝对最大纠缠的五个qutrits状态。我们还证明了这种状态是五个Qutrits状态的2一致状态。