Finer Distribution of Quantum Correlations among Multiqubit Systems

Abstract

We study the distribution of quantum correlations characterized by monogamy relations in multipartite systems. By using the Hamming weight of the binary vectors associated with the subsystems, we establish a class of monogamy inequalities for multiqubit entanglement based on the $\alpha$th ($\alpha \ge 2$) power of concurrence, and a class of polygamy inequalities for multiqubit entanglement in terms of the $\beta$th ($0\le \beta \le 2$) power of concurrence and concurrence of assistance. Moveover, we give the monogamy and polygamy inequalities for general quantum correlations. Application of these results to quantum correlations like squared convex-roof extended negativity (SCREN), entanglement of formation and Tsallis-$q$ entanglement gives rise to either tighter inequalities than the existing ones for some classes of quantum states or less restrictions on the quantum states. Detailed examples are presented.

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Cited by in corpus (12)

• Complementary Quantum Correlations among Multipartite Systems
• Monogamy of quantum entanglement
• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• On monogamy and polygamy relations of multipartite systems
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• General Monogamy and polygamy properties of quantum systems
• Tighter generalized monogamy and polygamy relations for multiqubit systems
• Note on Product-Form Monogamy Relations for Nonlocality and Other Correlation Measures
• Tighter monogamy relations in multiparty quantum systems
• Quantum walk-based protocol for secure communication between any two directly connected nodes on a network
• Strong polygamy and monogamy relations for multipartite quantum systems
• Polygamy relation of quantum correlations with equality