Tighter monogamy and polygamy inequalities based on the generalized W-class states

Based on the reduced density matrices of a generalized W-class (GW) state with respect to arbitrary partitions, we investigate the monogamy and polygamy inequalities of concurrence and concurrence of assistance (CoA), respectively. For a partially coherent superposition of a GW state and a vacuum under any partitions, we present monogamy and polygamy inequalities of the convex-roof extended negativity and the convex-roof extended negativity of assistance, respectively. We prove that these monogamy and polygamy inequalities are tighter than the existing ones. The finer characterization of the entanglement distribution is illustrated by detailed examples.