  We investigate two measures of quantum correlations and entanglement, namely
the violation of the Bell-Mermin-Klyshko inequalities and the quantum discord,
for Dirac fermions in the cosmological de Sitter background of dimension four.
The BMK violation is focussed on the vacuum for two and four mode squeezed
states and it is shown to increase with the number of modes. For the quantum
discord, we investigate a maximally entangled in-vacuum state. Qualitative
similarities as well as differences of our results with that of different
coordinatisations of de Sitter in the context of scalar and fermionic field
theory is discussed.
