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 \(\alpha \)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.

中文翻译：

---

三方系统的量子相关性测度的一夫多妻制

我们研究三方量子系统的任意量子相关度量Q的一夫多妻制。明确推导了Q在Q的\(\alpha \)次方方面是一夫多妻制的充分必要条件。此外，还针对量子态的某些子集提出了任何量子相关测度Q的解析多配偶制条件。给出了详细的例子来说明我们的结果。