Magic in Fermionic System

I would like to put things short. Magic, in the context of quantum computation, is to describe how far a quantum system is from a stablizer state, and stablizer state is a state that can be prepared by Clifford gates.

However, this definition seems untractable for me to extend to Fermionic systems. As stated in the main paper, Free Fermionic states(Fermion Gaussian States) are classically simulatable and thus not magic. If this is the starting point, then it seems to me that the word "magic" is abused.

From now on I would like to state that we are trying to understand the non-Gaussian-ness of a Fermionic state