Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems

Abstract: We investigate the monogamy relations related to the concurrence, the entanglement of formation, convex-roof extended negativity, Tsallis-q entanglement and R'enyi-{\alpha} entanglement, the polygamy relations related to the entanglement of formation, Tsallis-q entanglement and R'enyi-{\alpha} entanglement. Monogamy and polygamy inequalities are obtained for arbitrary multipartite qubit systems, which are proved to be tighter than the existing ones. Detailed examples are presented.