  In a generalized framework for the Landauer erasure protocol, we study bounds
on the heat dissipated in typical nonequilibrium quantum processes. In contrast
to thermodynamic processes, quantum fluctuations are not suppressed in the
nonequilibrium regime and cannot be ignored, making such processes difficult to
understand and treat. Here we derive an emergent fluctuation relation that
virtually guarantees the average heat produced to be dissipated into the
reservoir either when the system or reservoir is large (or both) or when the
temperature is high. The implication of our result is that for nonequilibrium
processes, heat fluctuations away from its average value are suppressed
independently of the underlying dynamics exponentially quickly in the dimension
of the larger subsystem and linearly in the inverse temperature. We achieve
these results by generalizing a concentration of measure relation for subsystem
states to the case where the global state is mixed.
