Unified entropy, entanglement measures and monogamy of multi-party entanglement

We show that restricted shareability of multi-qubit entanglement can be fully characterized by unified-(q, s) entropy. We provide a two-parameter class of bipartite entanglement measures, namely unified-(q, s) entanglement with its analytic formula in two-qubit systems for q >= 1, 0 <= s <= 1 and qs <= 3. Using unified-(q, s) entanglement, we establish a broad class of the monogamy inequalities of multi-qubit entanglement for q >= 2, 0 <= s <= 1 and qs <= 3.