Finding the general set of system-environment states {ρSE} for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [7], where the problem was solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [8]. This, we think, clarifies the mentioned result better and so leads to a generalization of it, straightforwardly.

中文翻译：

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当分配图完全为正时

寻找系统-环境状态的一般集合{ρSE}，其中系统的简化动力学是完全正的（CP）是最近一些工作的主题。在这方面的进步出现在 [7] 中，解决了 CP 分配图的问题。在这里，我们使用 [8] 中介绍的框架重申这个结果。我们认为，这更好地阐明了上述结果，因此可以直接对其进行概括。