Monogamy relations for the generalized W -class states beyond qubits

In this article, we consider the monogamy relations for the generalized W-class states. Here we first present an analytical formula on Tsallis-q entanglement (TqEE) and Tsallis-q entanglement of assistance (TqEEoA) of a reduced density matrix for a generalized W-class state. By using the analytical formula, we present a monogamy relation in terms of the squared TqEE for a generalized W-class state. Then we present generalized monogamy relations in terms of TqEE for a generalized W-class state. We also present a monogamy relation in terms of an arbitrary power of TqEE for a generalized W-class state. Last, we apply our results to quantum games and present the bound of the nonclassicality of the quantum games when restricting to the generalized W-class states.