Unified entropy, entanglement measures and monogamy of multi-party entanglement

Abstract

We show that restricted shareability of multi-qubit entanglement can be fully characterized by unified-$(q,s)$ entropy. We provide a two-parameter class of bipartite entanglement measures, namely unified-$(q,s)$ entanglement with its analytic formula in two-qubit systems for $q\ge 1$, $0\le s\le 1$ and $qs\le 3$. Using unified-$(q,s)$ entanglement, we establish a broad class of the monogamy inequalities of multi-qubit entanglement for $q\ge 2$, $0\le s\le 1$ and $qs\le 3$.

17 pages, 1 figure

References in corpus (7)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Duality for monogamy of entanglement
• Polygamy of Distributed Entanglement
• Generalized W-Class State and its Monogamy Relation
• Polygamy of Entanglement in Multipartite Quantum Systems

Cited by in corpus (27)

• General polygamy inequality of multi-party quantum entanglement
• Entanglement polygon inequality in qudit systems
• Unification of multi-qubit polygamy inequalities
• Monogamy of quantum entanglement
• Unified entropies and quantum speed limits for nonunitary dynamics
• Monogamy relations and upper bounds for the generalized $W$-class states using Rényi-$\alpha$ entropy
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• On monogamy and polygamy relations of multipartite systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Entanglement of formation and monogamy of multi-party quantum entanglement
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Polygamy relations of multipartite systems
• What does monogamy in higher powers of a correlation measure mean?
• Tighter constraints of multiqubit entanglement for negativity
• Tighter monogamy relations in multiparty quantum systems
• Polygamy of multi-party $q$-expected quantum entanglement
• Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems
• A new entanglement measure based on the total concurrence
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Tighter monogamy relations of entanglement measures based on fidelity
• Multipartite entanglement measures based on the thermodynamic framework
• Family of two-parameter multipartite entanglement measures
• Unified monogamy relations for the generalized $W$-class states beyond qubits
• Unified monogamy relation of entanglement measures