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

TL;DR

This paper introduces generalized monogamy inequalities for negativity and CREN in multi-qubit systems, expanding understanding of quantum entanglement distribution with theoretical proofs and tests on specific quantum states.

Contribution

It presents new generalized monogamy inequalities based on negativity and CREN for N-qubit systems, extending previous entanglement constraints.

Findings

Monogamy inequalities hold for N-qubit systems under specified partitions.

W-class states satisfy the proposed monogamy inequalities.

The inequalities provide new insights into entanglement sharing constraints.

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 $ABC_1\cdots C_{N-2}$, under the partitions $AB|C_1\cdots C_{N-2}$ and $ABC_1|C_2\cdots C_{N-2}$. Furthermore, the $W$-class states are used to test these generalized monogamy inequalities.