The minimum time a system needs to change from an initial state to a final orthogonal state is called the quantum speed limit time. The quantum speed limit time can be used to quantify the speed of the quantum evolution. The speed of the quantum evolution will increase, if the quantum speed limit time decreases. In this work, we will use a relative purity-based bound for the quantum speed limit time. This work is applicable for any arbitrary initial state. Here, we investigate the effects of a filtering operation on the quantum speed limit time. It will be observed that for some intervals of the filtering operation parameter, the quantum speed limit time is decreased by increasing the filtering operation parameter and for some other intervals it is decreased by decreasing the filtering operation parameter.
