Finer distribution of quantum correlations among multiqubit systems

  • Zhi-Xiang JinEmail author
  • Shao-Ming Fei


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, 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.


Monogamy relation Hamming weight Polygamy inequality Multiqubit systems 



This work is supported by the NSF of China under Grant No. 11675113, and Beijing Municipal Commission of Education under No. KZ201810028042.


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Authors and Affiliations

  1. 1.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  2. 2.School of PhysicsUniversity of Chinese Academy of SciencesBeijingChina
  3. 3.Max-Planck-Institute for Mathematics in the SciencesLeipzigGermany

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