Title: Finer Distribution of Quantum Correlations among Multiqubit Systems Show Chinese title

Title: 多量子比特系统中量子关联的更细致分布

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 ($\alpha\geq 2$) power of concurrence, and a class of polygamy inequalities for multiqubit entanglement in terms of the $\beta$th ($0\leq \beta\leq2$) 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. Show Chinese abstract

Abstract: 我们研究由单态关系表征的多体系统中量子关联的分布。 通过使用与子系统相关的二进制向量的汉明重量，我们建立了一类基于concurrence的$\alpha$次（$\alpha\geq 2$）幂的多量子比特纠缠的单态不等式，以及一类基于concurrence的$\beta$次（$0\leq \beta\leq2$）幂和辅助concurrence的多量子比特纠缠的多态不等式。 此外，我们给出了普遍量子关联的单态和多态不等式。 将这些结果应用于平方凸包扩展负性(SCREN)、形成纠缠和Tsallis-$q$纠缠等量子关联，对于某些类别的量子态，可以得到比现有不等式更紧的不等式，或者对量子态的限制更少。 给出了详细的例子。