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.

14 pages, 5 figures

References in corpus (5)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Duality for monogamy of entanglement
• Tighter entanglement monogamy relations of qubit systems
• Estimation on geometric measure of quantum coherence

Cited by in corpus (7)

• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit 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 Constraints of Multipartite Systems in terms of General Quantum Correlations