Polygamy of quantum correlation measures for tripartite systems

We study the polygamy of arbitrary quantum correlation measures Q for tripartite quantum systems. Both sufficient and necessary conditions for Q to be polygamous in terms of the \(\alpha \) $\alpha$ th power of Q are explicitly derived. Moreover, analytical polygamy conditions for any quantum correlation measure Q have been also presented with respect to certain subsets of quantum states. Detailed examples are given to illustrate our results.