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

中文翻译：

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通过过滤操作控制单元映射的量子速度限制时间

系统从初始状态变为最终正交状态所需的最短时间称为量子限速时间。量子限速时间可以用来量化量子演化的速度。如果量子速度限制时间减少，则量子演化的速度将增加。在这项工作中，我们将使用基于相对纯度的界限作为量子速度限制时间。它适用于任何任意初始状态。在这里，我们研究了滤波操作对量子限速时间的影响。将观察到，对于过滤操作参数的某些区间，量子速度限制时间通过增加过滤操作参数而减少，而对于其他一些区间，通过降低过滤操作参数而减少。