We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator Z. By using these transition maps as Kraus (or noise) operators, an extension of the quantum energy transport model of describing the dynamics of an open quantum system of N-levels is presented. We deduce the structure of the invariant states which can be recovered by transporting states supported on the first level.

中文翻译：

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希尔伯特子空间和量子能量传输之间的转换图

我们使用离散傅里叶变换的自然推广来定义希尔伯特子空间和全局传输算子 Z 之间的转换图。通过使用这些转换图作为克劳斯（或噪声）算子，描述量子能量传输模型的动力学的扩展提出了一个 N 能级的开放量子系统。我们推导了可以通过第一级支持的传输状态恢复的不变状态的结构。