Tighter Monogamy Relations for Concurrence and Negativity in Multiqubit Systems

Yuan-Hong Tao (), Kai Zheng, Zhi-Xiang Jin and Shao-Ming Fei
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Yuan-Hong Tao: School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
Kai Zheng: Changzhou College of Information Technology, Changzhou 213164, China
Zhi-Xiang Jin: School of Computer Science and Technology, Dongguan University of Technology, Dongguan 523808, China
Shao-Ming Fei: School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

Mathematics, 2023, vol. 11, issue 5, 1-10

Abstract: 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 N c , 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.

Keywords: monogamy relation; multiqubit systems; the concurrence; the negativity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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