Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy

Abstract

Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related to the $\mu$th power of the entanglement measure based on R\'{e}nyi-$\alpha$ entropy, as well as polygamy relations in terms of the $\mu$th powered of R\'{e}nyi-$\alpha$ entanglement of assistance. These monogamy and polygamy relations are shown to be tighter than the existing ones.