Tighter constraints of multiqubit entanglement

Abstract

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, Tsallis-$q$ entanglement and Rényi-$\alpha$ entanglement, respectively. We show that these inequalities are tighter than the existing ones for some classes of quantum states.

arXiv comment14 pages, 5 figures

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Cited by in corpus (18)

• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems
• General Monogamy and polygamy properties of quantum systems
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• Tighter constraints of multiqubit entanglement for negativity
• Tighter monogamy inequalities of multiqubit entanglement
• Tighter parameterized monogamy relations
• Tighter monogamy relations in multiparty quantum systems
• Weighted monogamy and polygamy relations
• Parameterized bipartite entanglement measures and entanglement constraints
• Strong superadditivity relations for multiqubit systems
• Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations
• Superior monogamy and polygamy relations and estimates of concurrence
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems