Tsallis entropy and entanglement constraints in multiqubit systems

We show that the restricted shareability and distribution of multiqubit entanglement can be characterized by Tsallis-q entropy. We first provide a class of bipartite entanglement measures named Tsallis-q entanglement, and provide its analytic formula in two-qubit systems for 1 <= q <= 4. For 2 <= q <= 3, we show a monogamy inequality of multiqubit entanglement in terms of Tsallis-q entanglement, and we also provide a polygamy inequality using Tsallis-q entropy for 1 <= q <= 2 and 3 <= q <= 4.