Dynamics of Quantum Speed Limit Time for Correlated and Uncorrelated Noise Channels

We investigate the dynamics of quantum speed limit time under the effect of Markovian and non-Markovian dynamics. Memory effect plays a fundamental role in the dynamics of open quantum system. In the first case quantum channel has memory there exist correlations between sucessive uses of channels. Such type of channel called correalted channel.We study quantum speed limit time for Markovian and non-Markovian dynamics. We discuss measure of QSL, how correlations affect the rate of quantum speed limit. In this work find one connection between non-Markovianty and quantum speed limit. We show that the non Markovian evolution can speed up quantum evolution, therefore lead to smaller quantum speed limit time. We establish connection between information loss, quantum speed limit time that might be helpful for further investigation in quantum processing theoretical task.