  Quantum speed limit time defines the limit on the minimum time required for a
quantum system to evolve between two states. Investigation of bounds on speed
limit time of quantum system under non-unitary evolution is of fundamental
interest, as it reveals interesting connections to quantum (non-)Markovianity.
Here, we discuss the characteristics of quantum speed limit time as a function
of quantum memory, quantified as the deviation from temporal self-similarity of
quantum dynamical maps for CP-divisible as well as indivisible maps, and show
that the presence of quantum memory can speed up quantum evolution. This
demonstrates the enhancement of the speed of quantum evolution in the presence
of quantum memory for a wider class of channels than indicated by the
CP-indivisibility criterion.
