Monogamy of αth power entanglement measurement in qubit systems

In this paper, we study the alpha th power monogamy properties related to the entanglement measure in bipartite states. The monogamy relations related to the ath power of negativity and the Convex-Roof Extended Negativity are obtained for N-qubit states. We also give a tighter bound of hierarchical monogamy inequality for the entanglement of formation. We find that the GHZ state and W state can be used to distinguish both the alpha th power of the concurrence for 0 < alpha < 2 and the ath power of the entanglement of formation for 0 < alpha <= 1\2 Furthermore, we compare concurrence with negativity in terms of monogamy property and investigate the difference between them. (C) 2015 Elsevier Inc. All rights reserved.