Tighter monogamy relations for the Tsallis-q and Rényi-$\alpha$ entanglement in multiqubit systems

Abstract

Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and Rényi-$\alpha$ entanglement in multipartite systems. We show that these new monogamy relations of multipartite entanglement with tighter lower bounds than the existing ones. Furthermore, three examples are given to illustrate the tightness.

arXiv comment17pages, 3figures

References in corpus (17)

• 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
• Fidelity and Concurrence of conjugated states
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• A Note on Invariants and Entanglements
• Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems
• General monogamy relation for the entanglement of formation in multiqubit systems
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Monogamy of Correlations vs. Monogamy of Entanglement
• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Tighter monogamy relations in multipartite systems
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
• Topological Rényi entropy after a quantum quench
• Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement
• Local response of topological order to an external perturbation