In this report reversible Toffoli and quantum Deutsch gates are extended to the p_valued domain. Their structural parameters are determined and their behavior is proven. Both conjunctive and disjunctive control strategies with positive and mixed polarities are introduced for the first time in a p_valued domain. The design is based on elementary Muthukrishnan_Stroud quantum gates, hence the realizability of the extended gates in the context of ion traps should be possible.

中文翻译：

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p_valued Deutsch 量子门的实现

在本报告中，可逆 Toffoli 和量子 Deutsch 门被扩展到 p_valued 域。它们的结构参数被确定并且它们的行为被证明。在 p_valued 域中首次引入了具有正极性和混合极性的连接和分离控制策略。该设计基于基本的 Muthukrishnan_Stroud 量子门，因此在离子陷阱的背景下扩展门的可实现性应该是可能的。