标题： 含噪边界纠缠态的构造与范围准则 显示英文标题

标题： Construction of noisy bound entangled states and the range criterion

摘要： 在这项工作中，我们考虑了具有正偏迹的部分转置的双部分噪声绑定纠缠态，也就是说，这种态可以表示为边缘态和可分态的凸组合。 特别是，我们提出了构造满足范围判据的不同类别的噪声绑定纠缠态的方案。 作为本研究的结果，我们也识别出了一些不满足范围判据的噪声绑定纠缠态。 所有这些态都是通过探索不同类型的乘积基而构建的。 显示英文摘要

摘要： In this work we consider bipartite noisy bound entangled states with positive partial transpose, that is, such a state can be written as a convex combination of an edge state and a separable state. In particular, we present schemes to construct distinct classes of noisy bound entangled states which satisfy the range criterion. As a consequence of the present study we also identify noisy bound entangled states which do not satisfy the range criterion. All of the present states are constituted by exploring different types of product bases.