  Entanglement-breaking channels are quantum channels transforming entangled
states to separable states. Despite a detailed discussion of their operational
structure, to be found in the literature, studies on dynamical characteristics
of this type of maps are yet limited. We consider one of the basic questions:
for Lindblad-type dynamics, when does a given channel break entanglement? We
discuss the finite-dimensional case where the quantification of entanglement
via entanglement witnesses is utilized. For the general setup, we use the
method of quantum speed limit to derive lower bounds on entanglement breaking
times in terms of an input state, the dynamical map and the witness operator.
Then, with a particular choice of the input state and the entanglement witness,
the bounds for the breaking time are turned to solely reflect the
characteristics of the dynamics.
