Monogamy relations for the generalized W -class states beyond qubits
Xian Shi, Lin Chen · Physical Review A · 2020
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 ($\mathrm{T}q\mathrm{EE}$) and Tsallis-$q$ entanglement of assistance ($\mathrm{T}q\mathrm{EEoA}$) 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 $\mathrm{T}q\mathrm{EE}$ for a generalized $W$-class state. Then we present generalized monogamy relations in terms of $\mathrm{T}q\mathrm{EE}$ for a generalized $W$-class state. We also present a monogamy relation in terms of an arbitrary power of $\mathrm{T}q\mathrm{EE}$ 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.