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arXiv:2411.07803 · International Journal of Quantum Information

Tighter superadditivity relations for l1-norm coherence measure

Kang-Kang Yang, Zhong‐Xi Shen, Zhi-Xi Wang, Shao-Ming Fei

Published May 10, 2024• 1 citation

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 [Formula: see text]-norm coherence measure for arbitrary multiqubit states. We present a category of superadditivity relations related to the [Formula: see text]th [Formula: see text] power of [Formula: see text]-norm coherence [Formula: see text] under certain conditions. Our results are better than the existing ones and are illustrated in detail with examples.

DOI: 10.1142/s0219749924500266

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