Tighter entanglement monogamy relations of qubit systems

Abstract

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence $C$ and the entanglement of formation $E$. We present new entanglement monogamy relations satisfied by the $\alpha$-th power of concurrence for all $\alpha \ge 2$, and the $\alpha$-th power of the entanglement of formation for all $\alpha \ge \sqrt{2}$. These monogamy relations are shown to be tighter than the existing ones.

References in corpus (7)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Entanglement monogamy relations of qubit systems
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Separability criteria and bounds for entanglement measures

Cited by in corpus (18)

• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Tighter constraints of multiqubit entanglement
• 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 and polygamy relations of quantum correlations for multipartite systems
• Polygamy relations of multipartite systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• 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 parameterized monogamy relations
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Polygamy relation of quantum correlations with equality
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Unified monogamy and polygamy relations for multipartite systems