论文标题
基于相关张量的多部分可分离性标准的家族
A family of multipartite separability criteria based on correlation tensor
论文作者
论文摘要
提供了基于相关矩阵（张量）的可分离性标准家族。有趣的是，它统一了以前知道的几个标准，例如CCNR或重组标准，DE VICENTE标准并基于SIC POVM的最近可分离性标准。应该强调的是，与众所周知的相关矩阵标准或基于局部不确定性关系的标准不同，新标准在密度操作员中是线性的，因此可能会发现新的纠缠证人和正图。有趣的是，使用多部分相关矩阵对多部分方案存在自然概括。我们说明了上述标准的检测能力在几个众所周知的量子状态示例上。
A family of separability criteria based on correlation matrix (tensor) is provided. Interestingly, it unifies several criteria known before like e.g. CCNR or realignment criterion, de Vicente criterion and derived recently separability criterion based on SIC POVMs. It should be stressed that, unlike the well known Correlation Matrix Criterion or criterion based on Local Uncertainty Relations, the new criteria are linear in the density operator and hence one may find new classes of entanglement witnesses and positive maps. Interestingly, there is a natural generalization to multipartite scenario using multipartite correlation matrix. We illustrate the detection power of the above criteria on several well known examples of quantum states.
