In the direct search for signals from the scattering of a dark matter particle candidate off standard model particles, the region of dark matter candidates with masses below 1 GeV/c$^2$ remains mainly unexplored. We are preparing an experiment using a low-noise silicon detector as the sensitive target to search for signals from the inelastic scattering between a sub-GeV/c$^2$ dark matter candidate and a bound electron in silicon. When such a scattering happens, energy deposit inside the silicon sensor of a few eV in the form of ionization can be identified using the low noise silicon detector applying the non-destructive repetitive readout method, which can be used to achieve an ENC of 0.2 $e^{−}$ rms and below.