Tighter monogamy and polygamy relations for a superposition of the generalized W-class state and vacuum

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy with respect to any partitions for a superposition generalized $W$-class state vacuum terms Tsallis-$q$ R\'enyi-$\alpha$ entanglement. By using Hamming weight binary vectors related subsystems, new classes inequalities are derived, which shown be tighter than existing ones. Detailed examples presented illustrate finer characterization distributions.