  In the present paper, quantum speed limit (QSL) time of a bipartite V-type
three-level atomic system under the effect of two-qutrit entanglement is
investigated. Each party interacts with own independent reservoir. By
considering two local unitarily equivalent Wener states and the Horodecki PPT
state, as initial states, the QSL time is evaluated for each of them in the
respective entangled regions. It is counterintu-itively observe that the effect
of entanglement on the QSL time driven from each of the initial Werner states
are completely different when the degree of non-Markovianity is considerable.
In addition, it is interesting that the effect of entanglement of the
non-equivalent Horodecki state on the calculated QSL time displays an
intermediate behavior relative to the cases obtained for the Werner states.
