论文标题

使用一个不可分解的正图中的两Qutrits生成和检测绑定的纠缠

Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps

论文作者

Bhattacharya, Bihalan, Goswami, Suchetana, Mundra, Rounak, Ganguly, Nirman, Chakrabarty, Indranil, Bhattacharya, Samyadeb, Majumdar, A. S.

论文摘要

绑定纠缠检测的问题是量子信息理论的一个挑战性方面,对于更高的维系统。在这里,我们提出了两个Qutrit系统的不可分解的阳性图,该系统可生成一类阳性部分转置(PPT)状态。构建了相应的证人操作员,并证明是弱最佳且可在本地实施的。此外,我们对不可分解的地图进行结构性物理近似,使其成为完全积极的地图,并找到一个新的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可检测到​​。

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 generate 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.

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