Monogamy of entanglement for tripartite systems
Xue‐Na Zhu, Gui Bao, Zhi‐Xiang Jin, Shao-Ming Fei · Physical Review A · 2023
We study the monogamy of arbitrary quantum entanglement measures $E$ for tripartite quantum systems. Both the sufficient and necessary conditions for $E$ to be monogamous in terms of the $\ensuremath{\alpha}\mathrm{th}$ power of $E$ are explicitly derived. It is shown that such monogamy of an entanglement measure $E$ only depends on the boundedness of the solution set of certain equations. Moreover, the monogamy conditions are also obtained with respect to certain subsets of quantum states for a given quantum correlation. Detailed examples are given to illustrate our results.