最终纠缠破坏的酉量子信道的完整刻画
A complete characterization of eventually entanglement breaking unital quantum channels
- Indian Statistical Institute（印度统计研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过特征向量交换性质完整刻画了最终纠缠破坏的酉信道，并利用矩阵积分与等角紧框架理论刻画了其极端点。
AI中文摘要：
我们基于其特征向量的某些简单交换性质，获得了最终纠缠破坏（EEB）酉信道的完整刻画。具体而言，以下性质对酉信道是等价的：（i）它是EEB的；（ii）它最终具有正部分转置（PPT）；（iii）它最终是混合扭曲退相干的；（iv）其对应于非零特征值的特征向量与其所有外围特征向量交换。类似的结果也适用于酉量子信道的单参数半群，此时连续性迫使此类半群变为本原的。我们采用了受Watrous结果启发的矩阵积分技术。我们还刻画了酉EB信道凸集的极端点，并利用该刻画以及等角紧框架（ETF）理论，识别出了扭曲退相干信道之外的若干极端点。
英文摘要：
We obtain a complete characterization of eventually entanglement breaking (EEB) unital channels in terms of some simple commutation properties of their eigenvectors. Specifically, the following properties are equivalent for a unital channel: (i) it is EEB; (ii) it is eventually positive partial transpose (PPT); (iii) it is eventually mixed twisted dephasing; and (iv) its eigenvectors corresponding to non-zero eigenvalues commute with all its peripheral eigenvectors. Similar results hold for one-parameter semigroups of unital quantum channels, where continuity forces such semigroups to become primitive. We employ a matrix integral technique inspired by a result of Watrous. We also characterize the extreme points of the convex set of unital EB channels and, using this characterization and the theory of equiangular tight frames (ETFs), identify several extreme points beyond the twisted dephasing channels.
