  The non-Abelian braiding of Majorana fermions is one of the most promising
operations providing a key building block for the realization of topological
quantum computation. Recently, the chiral Majorana fermions were observed in a
hybrid junction btween a quantum anomalous Hall insulator and an s-wave
superconductor. Here we show that if a quantum dot or Majorana zero mode
couples to the chiral Majorana fermions, the resulting resonant exchange of
chiral Majorana fermions can lead to the non-Abelian braiding. Remarkably, any
operation in the braid group can be achieved by this scheme. We further propose
electrical transport experiments to observe the braiding of four chiral
Majorana fermions and demonstrate the non-Abelian braiding statistics in
four-terminal devices of the hybrid junctions. Both a conductance peak due to
the braiding and the braiding-order dependent conductance are predicted. These
findings pave a way to perform any braiding operation of chiral Majorana
fermions by electrically controllable quantum dots.
