Li Tao, Xiao Yunlong, Ma Teng, Fei Shao-Ming, Jing Naihuan, Li-Jost Xianqing, Wang Zhi-Xi
School of Science, Beijing Technology and Business University, Beijing 100048, China.
School of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, China.
Sci Rep. 2016 Oct 24;6:35735. doi: 10.1038/srep35735.
We study universal uncertainty relations and present a method called joint probability distribution diagram to improve the majorization bounds constructed independently in [Phys. Rev. Lett. 111, 230401 (2013)] and [J. Phys. A. 46, 272002 (2013)]. The results give rise to state independent uncertainty relations satisfied by any nonnegative Schur-concave functions. On the other hand, a remarkable recent result of entropic uncertainty relation is the direct-sum majorization relation. In this paper, we illustrate our bounds by showing how they provide a complement to that in [Phys. Rev. A. 89, 052115 (2014)].
我们研究了通用不确定性关系，并提出了一种称为联合概率分布图的方法，以改进在[《物理评论快报》111, 230401 (2013)]和[《物理学杂志A》46, 272002 (2013)]中独立构建的优化界。结果产生了由任何非负舒尔凹函数满足的与状态无关的不确定性关系。另一方面，熵不确定性关系最近的一个显著结果是直和优化关系。在本文中，我们通过展示这些界如何对[《物理评论A》89, 052115 (2014)]中的界起到补充作用来说明我们的界。
