Can the macroscopic fluctuation theory be quantized?

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