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arXiv:2505.13095

Superadditivity of Convex Roof Coherence Measures in Multipartite System

Ren, Honglin, Chen, Lin

Published May 19, 2025• 0 citations
arXivHTMLPDF

Abstract

In this paper, we investigate the convex roof measure of quantum coherence, with a focus on their superadditive properties. We propose sufficient conditions and establish a framework for coherence superadditivity in tripartite and multipartite systems. Through theoretical derivation, the relevant theorems are given. These results not only expand our understanding of the superadditivity of pure and mixed states but also characterize the conditions under which the superadditivity relations reach equality. Finally, the proposed methods and conclusions are verified through representative examples, providing new theoretical insights into the distribution of quantum coherence in multi-part systems.

DOI
10.48550/arxiv.2505.13095

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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.
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