Three-level information plays an important role in the quantum domain. However, q-deformed three-level quantum logic is missing. Here, we address this problem and following Schwinger representation and using q-deformed harmonic oscillators, we construct three-level quantum system (qutrits), as well as one-, two- and three-qutrit q-deformed quantum logic gates. We believe our findings have a potential to contribute to q-deformed quantum science and technology.

中文翻译：

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q变形三级量子逻辑

三级信息在量子域中起着重要作用。但是，缺少q变形的三级量子逻辑。在这里，我们解决了这个问题，并按照Schwinger表示，并使用q变形的谐波振荡器，构造了三级量子系统（qutrits）以及一，二和三态q变形的量子逻辑门。我们相信我们的发现有可能有助于q变形量子科学和技术。