论文标题
纠缠证人的惯性
Inertias of entanglement witnesses
论文作者
论文摘要
纠缠证人（EWS）是检测纠缠的基本工具。我们分别研究了EWS的惯性，即分别为负，零和阳性特征值的三胞胎。我们专注于通过具有非阳性部分转置状态的部分换位所构建的EWS。我们提供了一种通过惯性之间的相关性从给定的惯性产生更多惯性的方法。基于此，我们耗尽了每个量子问题系统中EWS的所有惯性。我们将结果应用于根据状态部分转置的等级提出可分离性标准。我们还将结果与三方真正纠缠的状态和具有非阳性部分转置的状态的分类联系起来。此外，阐明了由X态构建的EWS的惯性。
Entanglement witnesses (EWs) are a fundamental tool for the detection of entanglement. We study the inertias of EWs, i.e., the triplet of the numbers of negative, zero, and positive eigenvalues respectively. We focus on the EWs constructed by the partial transposition of states with non-positive partial transposes. We provide a method to generate more inertias from a given inertia by the relevance between inertias. Based on that we exhaust all the inertias for EWs in each qubit-qudit system. We apply our results to propose a separability criterion in terms of the rank of the partial transpose of state. We also connect our results to tripartite genuinely entangled states and the classification of states with non-positive partial transposes. Additionally, the inertias of EWs constructed by X-states are clarified.
