Optimized monogamy and polygamy inequalities for multipartite qubit entanglement* *Project supported by the National Natural Science Foundation of China (Grant Nos. 12075159 and 11847209), Beijing Natural Science Foundation (Grant No. Z190005), Academy for Multidisciplinary Studies, Capital Normal University, the Academician Innovation Platform of Hainan Province, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology (Grant No.

Abstract

We investigate the monogamy and polygamy inequalities of arbitrary multipartite quantum states, and provide new classes of monogamy and polygamy inequalities of multiqubit entanglement in terms o f concurrence, entanglement of formation, negativity, and Tsallis-q entanglement, respectively. We show that these new monogamy and polygamy inequality relations are tighter than the existing ones with detailed examples.