Polygamy relation of quantum correlations with equality
Abstract
We provide a generalized definition of polygamy relations for any quantum correlation measures. Instead of the usual polygamy inequality, a polygamy relation with equality is given by introducing the polygamy weight. From the polygamy relation with equality, we present polygamy inequalities satisfied by the th power of the quantum correlation measures. Taking concurrence of assistance as an example, we further illustrate the significance and advantages of these relations. We also obtain a polygamy relation with equality by considering the one-to-group entanglements for any quantum entanglement measures that do not satisfy the polygamy relations. We demonstrate that such relations for tripartite states can be generalized to multipartite systems.
Cite
@article{arxiv.2309.13386,
title = {Polygamy relation of quantum correlations with equality},
author = {Zhi-Xiang Jin and Bing Yu and Xue-Na Zhu and Shao-Ming Fei and Cong-Feng Qiao},
journal= {arXiv preprint arXiv:2309.13386},
year = {2023}
}