General monogamy of Tsallis q-entropy entanglement in multiqubit systems

In this paper, we study the monogamy inequality of Tsallis q-entropy entanglement. We first provide an analytic formula of Tsallis q-entropy entanglement in two-qubit systems for 5-root 13/2 <= q <= 5+root 13/2. The analytic formula of Tsallis q-entropy entanglement in 2 circle times d system is also obtained and we show that Tsallis q-entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis q-entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartite entanglement indicators is constructed, which can detect all genuine multiqubit entangled states even in the case of N-tangle vanishes. Moreover, we study some examples in multipartite higher-dimensional system for the monogamy inequalities.