  We consider the simplest identical-fermion system that exhibits the
phenomenon of entanglement (beyond exchange correlations) to analyze its speed
of evolution towards an orthogonal state, and revisit the relation between this
latter and the amount of fermionic entanglement. A characterization of the
quantum speed limit and the orthogonality times is performed, throwing light
into the general structure of the faster and the slower states. Such
characterization holds not only for fermionic composites, but apply more
generally to a wide family of 6-dimensional states, irrespective of the
specific nature of the system. Further, it is shown that the connection between
speed of evolution and entanglement in the fermionic system, though more subtle
than in composites of distinguishable parties, may indeed manifest for certain
classes of states.

Quantum Physics