Entanglement monogamy relations of qubit systems

Abstract

We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the αth power of concurrence and entanglement of formation are presented for N-qubit states. The monogamy relation for entanglement of assistance is also established. Based on these general monogamy relations, the residual entanglement of concurrence and entanglement of formation are studied. Some relations among the residual entanglement, entanglement of assistance, and three tangle are also presented.

5 pages, 2 figures

References in corpus (10)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Duality for monogamy of entanglement
• Lower bounds on concurrence and separability conditions
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Optimal entanglement witnesses based on local orthogonal observables
• Separability criteria and bounds for entanglement measures
• Entanglement Monogamy of Tripartite Quantum States
• Measurable entanglement for tripartite quantum pure states of qubits

Cited by in corpus (30)

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• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• Monogamy of entanglement for tripartite systems
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Monogamy relations of concurrence for any dimensional quantum systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Polygamy relations of multipartite systems
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems
• Trade-off relations of l_1-norm coherence for multipartite systems
• General Monogamy and polygamy properties of quantum systems
• Tighter constraints of multiqubit entanglement for negativity
• Tighter parameterized monogamy relations
• Polygamy relation of quantum correlations with equality
• Weighted monogamy and polygamy relations
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Tighter monogamy relations of entanglement measures based on fidelity
• Parameterized bipartite entanglement measures and entanglement constraints
• Generalized product-form monogamy relations in multi-qubit systems
• Superior monogamy and polygamy relations and estimates of concurrence
• Monogamy inequalities of entanglement of assistance in $2\otimes 2\otimes d$ systems
• Unified monogamy relations for the generalized $W$-class states beyond qubits
• Maximum residual strong monogamy inequality for multiqubit entanglement
• Monogamy inequalities for entanglement using continuous variable measurements
• Unified monogamy and polygamy relations for multipartite systems
• Tighter bounds for generalized monogamy and polygamy relations