  We consider models of open quantum spin systems with irreversible dynamics
and show that general quasi-locality results for long-range models, e.g. as
proven for the Heisenberg dynamics associated to quantum systems in [27],
naturally extend to this setting. Given these bounds, we provide two
applications. First, we use these results to obtain estimates on a strictly
local approximation of these finite-volume, irreversible dynamics. Next, we
show how these bounds can be used to estimate correlation decay in various
states.
