Generalized monogamy inequalities of convex-roof extended negativity in $N$-qubit systems

Abstract

In this paper, we present some generalized monogamy inequalities based on negativity and convex-roof extended negativity (CREN). These monogamy relations are satisfied by the negativity of $N$-qubit quantum systems $AB{C}_1\cdots C_{N-2}$, under the partitions $AB|C_1\cdots C_{N-2}$ and $AB{C}_1|C_2\cdots C_{N-2}$. Furthermore, the $W$-class states are used to test these generalized monogamy inequalities.

10 pages, two figures. The paper has been rewriteen and one auther is added. We add 2 examples to show the two conclusions in the reference [29] is not correct. And we modify our previous conclusions. These make our paper more complete