Monogamy of αth power entanglement measurement in qubit systems

Abstract In this paper, we study the α th power monogamy properties related to the entanglement measure in bipartite states. The monogamy relations related to the α th 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 α th power of the concurrence for 0 α 2 and the α th power of the entanglement of formation for 0 α ≤ 1 2 . Furthermore, we compare concurrence with negativity in terms of monogamy property and investigate the difference between them.

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