Tsallis entropy and entanglement constraints in multi-qubit systems
Abstract
We show that the restricted sharability and distribution of multi-qubit 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 multi-qubit 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.
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