Tighter monogamy relations of entanglement measures based on fidelity

Abstract

We study the Bures measure of entanglement and the geometric measure of entanglement as special cases of entanglement measures based on fidelity, and find their tighter monogamy inequalities over tri-qubit systems as well as multi-qubit systems. Furthermore, we derive the monogamy inequality of concurrence for qudit quantum systems by projecting higher-dimensional states to qubit substates.

arXiv comment17pp

References in corpus (26)

• Distributed Entanglement
• Quantifying Entanglement
• Entanglement Measures and Purification Procedures
• Universal state inversion and concurrence in arbitrary dimensions
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Geometric measure of entanglement and applications to bipartite and multipartite quantum 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
• Violation of monogamy inequality for higher-dimensional objects
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
• Linking a distance measure of entanglement to its convex roof
• Disentangling Theorem and Monogamy for Entanglement Negativity
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Generalized W-Class State and its Monogamy Relation
• 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
• Strong superadditivity and monogamy of the Renyi measure of entanglement
• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Monogamy inequality in terms of entanglement measures based on distance for pure multiqubit states
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations