Tighter Monogamy Relations for Concurrence and Negativity in Multiqubit Systems

Yuan-Hong Tao, Kai Zheng, Zhi‐Xiang Jin, Shao-Ming Fei · Mathematics · 2023

The entanglement in multipartite quantum system is hard to characterize and quantify, although it has been intensively studied in bipartite systems. The monogamy of entanglement, as a special property of multipartite systems, shows the distribution of entanglement in the system. In this paper, we investigate the monogamy relations for multi-qubit systems. By using two entangled measures, namely the concurrence C and the negativity Nc, we establish tighter monogamy inequalities for their α-th power than those in all the existing ones. We also illustrate the tightness of our results for some classes of quantum states.

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