We investigate the distributions of quantum coherence characterized by superadditivity relations in multipartite quantum systems. General superadditivity inequalities based on the $\alpha$th ($\alpha\geqslant 1$) power of $l_1$ norm of coherence are presented for multiqubit states, which include the existing ones as special cases. Our result is shown to be tighter than the existing one by a specific example.

中文翻译：

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多量子位系统的强超可加性关系

我们研究了在多分量子系统中以超可加性关系为特征的量子相干分布。对于多量子位状态，提出了基于 $\alpha$th ($\alpha\geqslant 1$) 幂的一般超可加性不等式，用于多量子位状态，其中包括作为特殊情况的现有状态。通过一个特定的例子，我们的结果比现有的结果更紧密。