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.

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Cited by in corpus (34)

• Tighter monogamy relations in multipartite systems
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• 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
• Finer Distribution of Quantum Correlations among Multiqubit Systems
• Tighter monogamy relations of quantum entanglement for multiqubit W-class states
• Complementary Quantum Correlations among Multipartite Systems
• Monogamy of quantum entanglement
• Improved monogamy relations with concurrence of assistance and negativity of assistance for multiqubit W-class states
• Monogamy of entanglement for tripartite systems
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• On monogamy and polygamy relations of multipartite systems
• Generalized Entanglement Monogamy and Polygamy Relations for N -Qubit Systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems
• Polygamy relations of multipartite systems
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• 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 generalized monogamy and polygamy relations for multiqubit systems
• Tighter constraints of multiqubit entanglement for negativity
• Tighter monogamy inequalities of multiqubit entanglement
• Polygamy relations of multipartite entanglement beyond qubits
• Tighter parameterized monogamy relations
• Strong polygamy and monogamy relations for multipartite quantum systems
• 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
• Superior monogamy and polygamy relations and estimates of concurrence
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems
• Unified monogamy and polygamy relations for multipartite systems
• Monogamous nature of symmetric multiqubt states with distinct spinors