Unified monogamy relations for the generalized W-class states beyond qubits

The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems. We study monogamy relations with respect to any partitions for the generalized W-class（GW） states based on the unified-（q, s） entanglement（UE）. We provide the monogamy relation based on the squared UE for a reduced density matrix of a qudit GW state, as well as tighter monogamy relations based on the αth（α ≥ 2） power of UE. Furthermore, for an n-qudit system ABC1...Cn-2, a generalized monogamy relation and an upper bound satisfied by the βth（0 ≤ β ≤ 1） power of the UE for the GW states under the partition AB and C1...Cn-2 are established. In particular, two partition-dependent residual entanglements for the GW states are analyzed in detail.