  Landauer's principle shows that the minimum energy cost to reset a classical
bit in a bath with temperature $T$ is $k_{B}T\ln2$ in the infinite time.
However, the task to reset the bit in finite time has posted a new challenge,
especially for quantum bit (qubit) where both the operation time and
controllability are limited. We design a shortcut-to-isothermal scheme to reset
a qubit in finite time $\tau$ with limited controllability. The energy cost is
minimized with the optimal control scheme with and without nonholonomic
constraint. This optimal control scheme can provide a reference to realize
qubit reset with minimum energy cost for the limited time.
