Quantum speed limit time: role of coherence

The minimum evolution time between multi-qubit quantum states is estimated for non-Markovian channels. We consider the maximally coherent pure and mixed as well $X$ initial discuss impact of coherence behaviour on their speed both dephasing dissipative processes. role non-zero value under information backflow conditions non-unital process revealed by flow limit ($\tau_{QSL}$). trade-off mixedness reveals nature undergo. complementarity effect more prominent in dissipation process. parametric trajectory vividly depicts difference states, this could be used to distinguish unital channels studied work. Our investigation entangled that $\tau_{QSL}$ can identified a potential dynamical witness course evolution.