论文标题

扩展纯国的纠缠措施

An Extention of Entanglement Measures for Pure States

论文作者

Shi, Xian, Chen, Lin

论文摘要

量化纠缠是量子纠缠理论中最重要的主题之一。在[Arxiv:2006.12408]中,作者提出了一种从原始域到较大域的方法来建立一种度量的方法。在这里,我们将这种方法应用于纯状态措施的纠缠措施。首先,当纠缠度量是单调和凸的纠缠措施时,我们提出了条件,我们还对此处方法下的平滑单发纠缠成本进行了解释。最后,我们提出了本地操作和经典交流(LOCC)与可分离性可分离性(SEPP)操作之间的区别,然后我们介绍了构建的纠缠措施,该措施是根据convex屋顶扩展方法对纯状态的几何纠缠措施构建的纠缠措施,而此处的方法是平等的,最后,我们呈现在彼此之间的关系和彼此之间的彼此之间的关系,这是对彼此之间的关系的2个纯正的纯度,该方法是由2个纯正的两个国家通过2个方法来建立了2个方法。我们还介绍了该度量是2 \ otimes 2 \ otimes d系统一夫一妻制的。

To quantify the entanglement is one of the most important topics in quantum entanglement theory. In [arXiv: 2006.12408], the authors proposed a method to build a measure from the orginal domain to a larger one. Here we apply that method to build an entanglement measure from measures for pure states. First, we present conditions when the entanglement measure is an entanglement monotone and convex, we also present an interpretation of the smoothed one-shot entanglement cost under the method here. At last, we present a difference between the local operation and classical communication (LOCC) and the separability-preserving (SEPP) operations, then we present the entanglement measures built from the geometric entanglement measure for pure states by the convex roof extended method and the method here are equal, at last, we present the relationship between the concurrence and the entanglement measure built from concurrence for pure states by the method here on 2 \otimes 2 systems. We also present the measure is monogamous for 2\otimes 2 \otimes d system.

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