Tighter constraints of multiqubit entanglement in terms of unified entropy

Abstract

We present classes of monogamy inequalities related to the $\alpha$-th ($\alpha \ge 1$) power of the entanglement measure based on the unified-($q,s$) entropy, and polygamy inequalities related to the $\beta$-th ($0\le \beta \le 1$) power of the unified-($q,s$) entanglement of assistance by using Hamming weight. We show that these monogamy and polygamy inequalities are tighter than the existing ones. Detailed examples are given for illustrating the advantages.

13 pages, 2 figures. arXiv admin note: text overlap with arXiv:1801.09882 by other authors

References in corpus (25)

• Distributed Entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• Concurrence of arbitrary dimensional bipartite quantum states
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Concurrence of mixed bipartite quantum states in arbitrary dimensions
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Optimal entanglement criterion for mixed quantum states
• Entanglement monogamy relations of qubit systems
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Optimal entanglement witnesses based on local orthogonal observables
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
• Separability criteria and bounds for entanglement measures
• Tighter monogamy relations in multipartite systems
• Some general properties of unified entropies
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Polygamy of Distributed Entanglement
• Tighter entanglement monogamy relations of qubit systems
• Limitations to sharing entanglement
• Generalized decoding, effective channels, and simplified security proofs in quantum key distribution
• General polygamy inequality of multi-party quantum entanglement
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Unification of multi-qubit polygamy inequalities

Cited by in corpus (4)

• Unified entropies and quantum speed limits for nonunitary dynamics
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• On monogamy and polygamy relations of multipartite systems
• Tighter monogamy relations in multiparty quantum systems