  The Macroscopic Fluctuation Theory is an effective framework to describe
transports and their fluctuations in classical out-of-equilibrium diffusive
systems. Whether the Macroscopic Fluctuation Theory may be extended to the
quantum realm and which form this extension may take is yet terra incognita but
is a timely question. In this short introductory review, I discuss possible
questions that a quantum version of the Macroscopic Fluctuation Theory could
address and how analysing Quantum Simple Exclusion Processes yields pieces of
answers to these questions.
