论文标题

三方系统中量子资源的统一

Unification of quantum resources in tripartite systems

论文作者

Dong, Dong-Dong, Wei, Geng-Biao, Song, Xue-Ke, Wang, Dong, Ye, Liu

论文摘要

在量子资源理论(QRT)中,存在不同量子资源量度(包括纠缠,连贯性,量子转向等)之间内在连接的证据。但是,在多部分量子系统中,建立不同量子资源之间的关系是一项至关重要的挑战。在这里,我们专注于一个统一的框架,以解释三方系统中不同量子资源之间的互连。特别是,对于三方纠缠状态,广义几何措施与真正的多部分并发之间的确切关系。然后,我们获得了一阶连贯性与真正的多部分同意和同意填充之间的权衡关系。此外,发现最大转向不平等的行为与任意三量纯净状态的最大转向不平等和同意之间的权衡关系。此外,我们研究了最大转向不平等违规与一阶连贯性之间的密切关系。结果表明,这些量子资源是固有的,并且可以在QRT的框架中相互转换,尽管它们仍然被认为是不同的。

In quantum resource theories (QRTs), there exists evidences of intrinsic connections among different measures of quantum resources, including entanglement, coherence, quantum steering, and so on. However, building the relations among different quantum resources is a vital yet challenging task in multipartite quantum systems. Here, we focus on a unified framework of interpreting the interconversions among different quantum resources in tripartite systems. In particular, an exact relation between the generalized geometric measure and the genuinely multipartite concurrence are derived for tripartite entanglement states. Then we obtain the tradeoff relation between the first-order coherence and the genuine tripartite entanglement by the genuinely multipartite concurrence and concurrence fill. Furthermore, the tradeoff relation between the maximum steering inequality violation and concurrence fill for an arbitrary three-qubit pure state is found. In addition, we investigate the close relation between the maximum steering inequality violation and the first-order coherence. The results show that these quantum resources are intrinsic related and can be converted to each other in the framework of QRTs, although they are still regarded to be different.

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