Superadditivity of Convex Roof Coherence Measures in Multipartite System

TL;DR

This paper explores the superadditivity of convex roof quantum coherence measures in multipartite systems, establishing conditions for superadditivity and equality, with theoretical derivations and illustrative examples.

Contribution

It introduces a framework and sufficient conditions for coherence superadditivity in multipartite systems, expanding understanding of quantum coherence distribution.

Findings

Superadditivity conditions for coherence measures derived

Theorems characterizing when superadditivity reaches equality

Examples verifying theoretical results

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.