Tighter monogamy relations of multiqubit entanglement in terms of Rényi-$\alpha$ entanglement

Abstract

We present a class of tight monogamy relations in terms of Rényi-$\alpha$ entanglement, which are tighter than the monogamy relations of multiqubit entanglement just based on the power of the Rényi-$\alpha$ entanglement for $\alpha \ge 2$ and the power $\eta >1$. For $2>\alpha \ge \frac{\sqrt{7}-1}{2}$ and the power $\eta >2$, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations of multiqubit entanglement.

arXiv comment6 pages

References in corpus (24)

• Distributed Entanglement
• Measuring entanglement entropy through the interference of quantum many-body twins
• 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?
• Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems
• Are general quantum correlations monogamous?
• General monogamy relation for the entanglement of formation in multiqubit systems
• Monogamy inequality for distributed Gaussian entanglement
• On the quantum Renyi relative entropies and related capacity formulas
• Black Hole Entanglement and Quantum Error Correction
• Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer
• 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
• Limitations to sharing entanglement
• Entanglement Rényi $\alpha$-entropy
• Classical information capacity of a class of quantum channels
• Superactivation of monogamy relations for nonadditive quantum correlation measures

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• Monogamy of quantum entanglement
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• Tighter monogamy relations in multiparty quantum systems