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.

arXiv comment10 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

References in corpus (28)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Introducing Quantum Discord
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Convex-roof extended negativity as an entanglement measure for bipartite quantum systems
• Are general quantum correlations monogamous?
• General monogamy relation for the entanglement of formation in multiqubit systems
• Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations
• Entanglement monogamy relations of qubit systems
• Duality for monogamy of entanglement
• Monogamy of entanglement of formation
• Entanglement monogamy and entanglement evolution in multipartite systems
• Exploring multipartite quantum correlations with the square of quantum discord
• Disentangling Theorem and Monogamy for Entanglement Negativity
• Entanglement Monogamy of Tripartite Quantum States
• Roofs and Convexity
• Generalized W-Class State and its Monogamy Relation
• Observable estimation of entanglement for arbitrary finite-dimensional mixed states
• Generalized Monogamy Relations of Concurrence for N-qubit Systems
• Monogamy of $\alpha$th Power Entanglement Measurement in Qubit Systems
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• Multipartite monogamy of the concurrence
• Partial transpose as a direct link between concurrence and negativity
• Generalised monogamy relation of convex-roof extended negativity in multi-level systems

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• Polygamy relation for the Rényi-$\alpha$ entanglement of assistance in multi-qubit systems
• Tighter generalized monogamy and polygamy relations for multiqubit systems
• Superior monogamy and polygamy relations and estimates of concurrence
• Tighter bounds for generalized monogamy and polygamy relations