  Motivated by the recent experimental realization of a minimal Kitaev chain in
quantum dot systems, we present our theoretical findings on the dynamics and
  fusion of MZMs at or near the $``$sweet spot" $t_h = \Delta$ (where the
fermionic hopping $t_h$ and superconducting coupling $\Delta$ are equal).
  We investigated the dynamics and fusion of MZMs using time-dependent
real-space local density-of-states methods.
  The movement of Majoranas and the detection of fusion channels are crucial
for topological quantum computations.
  Additionally, we discuss our recent discovery of exotic $``$multi-site" MZMs
in $Y$-shaped Kitaev wires,
  which is important for the potential braiding of Majoranas in $Y$-junctions
formed from arrays of quantum dots.
  Finally, we present results on "non-trivial" fusion using canonical Kitaev
wires at the sweet spot.
