  We study the decoherence dynamics of Majorana qubit braiding operations in a
topological superconducting chain (TSC) system, in which the braiding is
performed by controlling the electron-chemical potentials of the TSCs and the
couplings between them. By solving rigorously the Majorana qubit dynamics, we
show how the Majorana qubit coherence is generated through bogoliubon
correlations formed by exchanging Majorana zero modes (MZMs) between two TSCs
in braiding operations. Using the exact master equation, we demonstrate how
MZMs and also the bogoliubon correlations dissipate due to charge fluctuations
of the controlling gates at both the zero and finite temperatures. As a result,
Majorana qubit coherence and the fermion parity conservation cannot be immune
from local perturbations during braiding operations.
