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


Abstract in English

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-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 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-emph{q} entanglement satisfies the monogamy or polygamy inequalities for any three-qubit state.

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