“…A tight QSL is given on the basis of the unified bound of MT and ML bounds [10,28]. Then, the QSLs of MT and ML bounds have been broadly used to characterize quantum dynamics in closed systems [29,30], many-body systems [31,32], time-dependent driven systems [33,34], time-dependent non-Hermitian systems [35,36], thermodynamic system [37,38], others open quantum systems [39,40], and see more in the review papers [14,41].Recently, QSLs from the point of view of the total system consisting of the open system and its environment have been proposed, and its relationship with entanglement has been widely studied [42][43][44]. Meanwhile,the recent advancements in QSLs extensions to How quickly an observable change, or a finite speed that is constrained by the topological structure of the underlying dynamics [28,37,[45][46][47][48][49][50]].…”