The tightness of the measure-based method to estimate quantum coherence

With the advancement of quantum information science, the understanding of quantum coherence has become increasingly important. In this paper, we investigate the effects of different channels on quantum states and analyze the evolution process of quantum states during channel transmission. Our findings reveal variations in the impact of different channels on quantum coherence. Additionally, we explore the estimation of lower bounds on coherence after passing through these diverse channels. We observe that channel transmission has a certain influence on the tightness of lower bounds on quantum coherence. We conduct a detailed analysis of this influence and propose improvement method to enhance the tightness of the lower bound estimation. Based on our research results, we draw conclusions that unveil the characteristics of quantum coherence under different channel conditions. Furthermore, we provide an effective estimation method and improvement strategies to accurately assess the coherence of quantum states. This research holds significant implications for further advancements in quantum information processing and quantum communication.