At present, decoherence continuous-time quantum walks are only based on measurement decoherence, but a new broken-line noise model for continuous-time quantum walks on the cycle is proposed. In this scheme, we first construct the Hamiltonian H according to four cases including no broken links, the link to the left of the node is broken, the link to the right of the node is broken, and both links are broken, and then, the probability of a walker is reconstructed. We analyze the probability distribution, mixing time, diffusion and localization, quantum coherence, and non-Markovian properties under different transition rates and broken-line probabilities. We observe that walkers exhibit different dynamics for two transition rates (slow transition rate and fast transition rate), the slow transition rate localizes the walker near the initial position, while the fast transition rate exhibits a shift to classical diffusion behavior. In particular, we use negentropy to evaluate the degree of classicization. Research has shown that a greater broken-line probability induces a transition to classicization. Our results contribute to a deeper understanding of the effects of broken-line noise and decoherence on continuous-time quantum walks and provide some reference value for the application research of broken-line decoherence continuous-time quantum walking in other fields.

目前，退相干连续时间量子行走仅基于测量退相干，但提出了一种新的循环上连续时间量子行走的折线噪声模型。在该方案中，我们首先根据无断开链接、节点左侧链接断开、节点右侧链接断开、两个链接均断开四种情况构造哈密顿量H，然后，重建步行者的概率。我们分析了不同转移率和折线概率下的概率分布、混合时间、扩散和局域化、量子相干性和非马尔可夫特性。我们观察到步行者对于两种转换率（慢速转换率和快速转换率）表现出不同的动态，慢速转换率将步行者定位在初始位置附近，而快速转换率则表现出向经典扩散行为的转变。特别地，我们使用负熵来评估经典化程度。研究表明，更大的折线概率会导致向经典化的过渡。我们的研究结果有助于更深入地理解折线噪声和退相干对连续时间量子行走的影响，并为折线退相干连续时间量子行走在其他领域的应用研究提供一定的参考价值。