  We evaluate the degree of quantum correlation between two fermions (bosons)
subject to continuous time quantum walks in a one-dimensional ring lattice with
periodic boundary conditions. In our approach, no particle-particle interaction
is considered. We show that the interference effects due to exchange symmetry
can result into the appearance of non-classical correlations. The role played
onto the appearance of quantum correlations by the quantum statistics of the
particles, the boundary conditions, and the partition of the system is widely
investigated. Quantum correlations also been investigated in a model mimicking
the ballistic evolution of two indistinguishable particles in a 1D continuous
space structure. Our results are consistent with recent quantum optics and
electron quantum optics experiments where the showing up of two-particle
non-classical correlations has been observed even in the absence of mutual
interaction between the particles.
