  In this paper, I derive a closed expression for how precisely a small-scaled
system can follow a pre-defined trajectory, while keeping its dissipation below
a fixed limit. The total amount of dissipation is approximately inversely
proportional to the expected deviation from the pre-defined trajectory. The
optimal driving protocol is derived and it is shown that associated
time-dependent probability distribution conserves its shape throughout the
protocol. Potential applications are discussed in the context of bit erasure
and electronic circuits.
