Tighter monogamy relations in multipartite systems

Abstract

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C, the entanglement of formation E, negativity Nc and Tsallis-q entanglement Tq. Monogamy relations for the $\alpha$th power of entanglement have been derived, which are tighter than the existing entanglement monogamy relations for some classes of quantum states. Detailed examples are presented.

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Cited by in corpus (42)

• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Finer Distribution of Quantum Correlations among Multiqubit Systems
• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Complementary Quantum Correlations among Multipartite Systems
• Monogamy of quantum entanglement
• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• Improved monogamy relations with concurrence of assistance and negativity of assistance for multiqubit W-class states
• Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
• Monogamy properties of qubit systems
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Tighter monogamy relations of multiqubit entanglement in terms of Rényi-$\alpha$ entanglement
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• On monogamy and polygamy relations of multipartite systems
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems
• Polygamy relations of multipartite systems
• Multi-linear Monogamy Relations for Three Qubit States
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• General Monogamy and polygamy properties of quantum systems
• Tighter monogamy inequalities of multiqubit entanglement
• Tighter constraints of multiqubit entanglement for negativity
• Polygamy relations of multipartite entanglement beyond qubits
• Tighter generalized monogamy and polygamy relations for multiqubit systems
• Tighter monogamy relations in multiparty quantum systems
• Note on Product-Form Monogamy Relations for Nonlocality and Other Correlation Measures
• Tighter parameterized monogamy relations
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Strong polygamy and monogamy relations for multipartite quantum systems
• Weighted monogamy and polygamy relations
• Polygamy Inequalities for Qubit Systems
• Generalized product-form monogamy relations in multi-qubit systems
• Superior monogamy and polygamy relations and estimates of concurrence
• Emergence of Monogamy under Static and Dynamic Scenarios
• Monogamous nature of symmetric multiqubt states with distinct spinors
• Tighter bounds for generalized monogamy and polygamy relations
• Unified monogamy and polygamy relations for multipartite systems
• Tighter monogamy relations for the Tsallis-q and Rényi-$\alpha$ entanglement in multiqubit systems
• Tighter monogamy and polygamy relations using Rényi-$\alpha$ entropy
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems
• Unified monogamy relation of entanglement measures