title: Monogamy relation of multi-qubit systems for squared Tsallis-q entanglement.
abstract: Tsallis-q entanglement is a bipartite entanglement measure which is the generalization of entanglement of formation for q tending to 1. We first expand the range of q for the analytic formula of Tsallis-q entanglement. For , we prove the monogamy relation in terms of the squared Tsallis-q entanglement for an arbitrary multi-qubit systems. It is shown that the multipartite entanglement indicator based on squared Tsallis-q entanglement still works well even when the indicator based on the squared concurrence loses its efficacy. We also show that the μ-th power of Tsallis-q entanglement satisfies the monogamy or polygamy inequalities for any three-qubit state.
authors.affiliation: School of Physics and Material Science, Anhui University, Hefei, 230601, China.
authors.forename: Guang-Ming
authors.initials: GM
authors.lastname: Yuan
authors.affiliation: Institute for Quantum Control and Quantum Information; School of Electronic and Information Engineering, Hefei Normal University, Hefei 230601, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Song
authors.affiliation: School of Physics and Material Science, Anhui University, Hefei, 230601, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Yang
authors.affiliation: Institute for Quantum Control and Quantum Information; School of Electronic and Information Engineering, Hefei Normal University, Hefei 230601, China.
authors.forename: Da-Chuang
authors.initials: DC
authors.lastname: Li
authors.affiliation: School of Physics and Material Science, Anhui University, Hefei, 230601, China.
authors.forename: Jun-Long
authors.initials: JL
authors.lastname: Zhao
authors.affiliation: Institute for Quantum Control and Quantum Information; School of Electronic and Information Engineering, Hefei Normal University, Hefei 230601, China.
authors.forename: Zhuo-Liang
authors.initials: ZL
authors.lastname: Cao