Monogamy relation of multi-qubit systems for squared Tsallis-q entanglement

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 5 - root 13/2 <= q <= 5 + root 13/2, 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 mu-th power of Tsallis-q entanglement satisfies the monogamy or polygamy inequalities for any three-qubit state.