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 $qs\le 3$.

arXiv comment17 pages, 1 figure

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Cited by in corpus (45)

• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Monogamy of quantum correlations in three qubit pure states using Rajagopal-Rendell (RR) quantum deficit
• General polygamy inequality of multi-party quantum entanglement
• Relations for certain symmetric norms and anti-norms before and after partial trace
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Light Cone-Like Behavior of Quantum Monogamy Score and Multisite Entanglement
• Entanglement polygon inequality in qudit systems
• Bayes' rule, generalized discord, and nonextensive thermodynamics
• Maximum and minimum entropy states yielding local continuity bounds
• Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Complementary Quantum Correlations among Multipartite Systems
• Unification of multi-qubit polygamy inequalities
• Strong monogamy of multi-party quantum entanglement for partially coherently superposed states
• 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
• Shared Purity of Multipartite Quantum States
• Unified-entropy trade-off relations for a single quantum channel
• 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
• Polygamy relations of multipartite systems
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Tighter constraints of multiqubit entanglement in terms of unified entropy
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• Tighter constraints of multiqubit entanglement for negativity
• Tighter generalized monogamy and polygamy relations for multiqubit systems
• What does monogamy in higher powers of a correlation measure mean?
• A new entanglement measure based on the total concurrence
• 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
• Strong polygamy of quantum correlations in multi-party quantum systems
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• Monogamous property of generalized W states in three-qubit systems in terms of relative entropy of entanglement
• Tighter monogamy relations of entanglement measures based on fidelity
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• 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
• Monogamous nature of symmetric multiqubt states with distinct spinors
• Unified monogamy relation of entanglement measures