Tighter superadditivity relations for $l_1$-norm coherence measure

Abstract

Quantum coherence serves as a crucial physical resource, with its quantification emerging as a focal point in contemporary research. Superadditivity constitutes one of the most fundamental attributes in characterizing the coherence distribution in multipartite quantum systems. In this paper, we provide a way to derive tighter superadditivity inequalities of $l_1$-norm coherence measure for arbitrary multiqubit states. We present a category of superadditivity relations related to the $\alpha$-th ($\alpha ⩾2$) power of $l_1$-norm coherence $C_{l_1}$ under certain conditions. Our results are better than existing ones and are illustrated in detail with examples.

12 pages, 2 figures

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