International Journal of Theoretical Physics ( IF 1.3 ) Pub Date : 2021-04-30 , DOI: 10.1007/s10773-021-04818-9 Yaya Ren , Zhixi Wang , Shaoming Fei
Superadditivity relations characterize the distributions of coherence in multipartite quantum systems. In this work, we investigate the superadditivity relations related to the l1-norm of coherence \(C_{l_{1}}\) in multiqubit quantum systems. Tighter superadditivity inequalities based on the α-th (\(\alpha \geqslant 1\)) power of l1-norm of coherence are presented for multiqubit states under certain conditions, which include the existing results as special cases. These superadditivity relations give rise to finer characterization of the coherence distributions among the subsystems of a multipartite system. A detailed example is presented.
中文翻译:
多量子系统的更强超加和关系
超可加关系表征了多部分量子系统中的相干分布。在这项工作中,我们研究了多量子位量子系统中与相干\(C_ { l_ {1}} \)的l 1-范数有关的超加和关系。根据更严格的超加不等式α个(\(\阿尔法\ geqslant 1 \) )的功率升1呈现协调一致范数为multiqubit在某些条件下,其中包括现有的结果作为特殊情况的状态。这些超可加关系使多部分系统的子系统之间的相干分布更精确地表征。给出了一个详细的例子。