Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

Abstract

We study the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-$(q,s)$ entanglement for multi-qubit states under arbitrary bipartition, and then obtain the monogamy inequalities of the $\alpha$th ($0\le \alpha \le \frac{r}{2},r\ge \sqrt{2}$) power of entanglement of formation for tripartite states and their generalizations in multi-qubit quantum states. We also generalize the polygamy inequalities of unified-$(q,s)$ entanglement for multi-qubit states under arbitrary bipartition. Moreover, we investigate polygamy inequalities of the $\beta$th ($\beta \ge \max \{1,s\},0\le s\le s_0,0\le s_0\le \sqrt{2}$) power of the entanglement of formation for $2\otimes 2\otimes 2$ and $n$-qubit quantum systems. Finally, using detailed examples, we show that the results are tighter than previous studies.

arXiv comment21 pages

References in corpus (34)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Distributed Entanglement
• Universal state inversion and concurrence in arbitrary dimensions
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• General monogamy relation for the entanglement of formation in multiqubit systems
• Entanglement monogamy relations of qubit systems
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Duality for monogamy of entanglement
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
• Monogamy of entanglement of formation
• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Tighter monogamy relations in multipartite systems
• Some general properties of unified entropies
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Tighter entanglement monogamy relations of qubit systems
• Polygamy of Distributed Entanglement
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• General polygamy inequality of multi-party quantum entanglement
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Tighter constraints of multiqubit entanglement
• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Complementary Quantum Correlations among Multipartite Systems
• Monogamy properties of qubit systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Tighter generalized monogamy and polygamy relations for multiqubit systems
• Tighter constraints of multiqubit entanglement for negativity
• Strong polygamy and monogamy relations for multipartite quantum systems
• Polygamy Inequalities for Qubit Systems

Cited by in corpus (6)

• On monogamy and polygamy relations of multipartite systems
• Tighter parameterized monogamy relations
• Tighter monogamy relations in multiparty quantum systems
• Weighted monogamy and polygamy relations
• Superior monogamy and polygamy relations and estimates of concurrence
• Tighter bounds for generalized monogamy and polygamy relations