We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
50/2020
Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
Meng-Li Guo, Bo Li, Zhi-Xi Wang and Shao-Ming Fei
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 Rényi-$\alpha$ entropy, as well as polygamy relations in terms of the $\mu$th powered of Rényi-$\alpha$ entanglement of assistance.
These monogamy and polygamy relations are shown to be tighter than the existing ones.
