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Tsallis-$q$ entanglement is a bipartite entanglement measure which is thegeneralization of entanglement of formation for $q$ tending to 1. We firstexpand the range of $q$ for the analytic formula of Tsallis-\emph{q}entanglement. For $\frac{5-\sqrt{13}}{2} \leq \emph{q} \leq\frac{5+\sqrt{13}}{2}$, we prove the monogamy relation in terms of the squaredTsallis-$q$ entanglement for an arbitrary multi-qubit systems. It is shown thatthe multipartite entanglement indicator based on squared Tsallis-$q$entanglement still works well even when the indicator based on the squaredconcurrence loses its efficacy. We also show that the $\mu$-th power ofTsallis-\emph{q} entanglement satisfies the monogamy or polygamy inequalitiesfor any three-qubit state.

Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement