title: Lower and upper bounds for entanglement of Rényi-α entropy.
abstract: Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement Rényi-α entropy and some other entanglement measures.
authors.affiliation: Institute for Quantum Control and Quantum Information, and School of Electronic and Information Engineering, Hefei Normal University, Hefei, 230601, China. wsong1@mail.ustc.edu.cn.
authors.forename: Wei
authors.initials: W
authors.lastname: Song
authors.affiliation: School of Mathematics and Systems Science, Beihang University, Beijing, 100191, China. linchen@buaa.edu.cn.|International Research Institute for Multidisciplinary Science, Beihang University, Beijing, 100191, China. linchen@buaa.edu.cn.
authors.forename: Lin
authors.initials: L
authors.lastname: Chen
authors.affiliation: Institute for Quantum Control and Quantum Information, and School of Electronic and Information Engineering, Hefei Normal University, Hefei, 230601, China.
authors.forename: Zhuo-Liang
authors.initials: ZL
authors.lastname: Cao