  The quantum speed limit indicates the maximal evolution speed of the quantum
system. In this work, we determine speed limits on the informational measures,
namely the von Neumann entropy, maximal information, and coherence of quantum
systems evolving under dynamical processes. These speed limits ascertain the
fundamental limitations on the evolution time required by the quantum systems
for the changes in their informational measures. Erasing of quantum information
to reset the memory for future use is crucial for quantum computing devices. We
use the speed limit on the maximal information to obtain the minimum time
required to erase the information of quantum systems via some quantum processes
of interest.
