  We address some theoretical issues of the quantum decoherence phenomenon
within the neutrino oscillation framework and carry out various tests under
DUNE simulated experimental environment. On the theoretical side, we provide a
general expression for an invariant decoherence matrix under a quantum basis
rotation. On the simulated experimental side, considering a rotation invariant
and a non-invariant decoherence matrix, we study the impact on the fitting of
the standard oscillation parameters, the sensitivity in the mass hierarchy and
CP violation, combining the neutrino and antineutrino mode and all available
neutrino oscillation probabilities channels. Furthermore, a sensitivity for the
decoherence parameter of order $10^{-24}\text{GeV}$ at 3$\sigma$, is obtained
for our best case.
