The problem of bound entanglement detection is a challenging aspect of quantum information theory for higher dimensional systems. Here, we propose an indecomposable positive map for two-qutrit systems, which is shown to detect a class of positive partial transposed (PPT) states. A corresponding witness operator is constructed and shown to be weakly optimal and locally implementable. Further, we perform a structural physical approximation of the indecomposable map to make it a completely positive one, and find a new PPT-entangled state which is not detectable by certain other well-known entanglement detection criteria.

中文翻译：

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使用一系列不可分解的正映射生成和检测两个 qutrit 中的绑定纠缠

束缚纠缠检测问题是高维系统量子信息理论的一个具有挑战性的方面。在这里，我们为两个 qutrit 系统提出了一个不可分解的正映射，它被证明可以检测一类正部分转置 (PPT) 状态。相应的见证算子被构建并被证明是弱优化和本地可实现的。此外，我们对不可分解图进行结构物理近似以使其成为完全正的图，并找到一种新的 PPT 纠缠状态，该状态无法通过某些其他众所周知的纠缠检测标准检测到。