Quaternionic quantum theory is a generalization of the standard complex quantum theory. Inspired by this, we study the quaternionic quantum computation using quaternions. We first develop a theory of quaternionic quantum automata as a model of quaternionic quantum computation. Quaternionic quantum automata also can be seen as an extension of complex quantum automata. Then we introduce some operations of quaternionic quantum automata and establish some of their basic properties.

中文翻译：

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四元数量子自动机

四元数量子理论是标准复量子理论的推广。受此启发，我们研究了使用四元数的四元数量子计算。我们首先发展了一种四元数量子自动机理论作为四元数量子计算的模型。四元数量子自动机也可以看作是复量子自动机的扩展。然后我们介绍了四元数量子自动机的一些操作并建立了它们的一些基本性质。