Optimized monogamy and polygamy inequalities for multipartite qubit entanglement*

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.

Automated summary

This study investigates the monogamy and polygamy inequalities of arbitrary multipartite quantum states, and introduces new classes of monogamy and polygamy inequalities based on concurrence, entanglement of formation, negativity, and Tsallis-q entanglement. The newly proposed inequality relations are shown to be stricter than existing ones, with detailed examples provided.