  The quest to identify and observe Majorana fermions in physics and
condensed-matter systems remains an important challenge. Here, we introduce a
qubit (spin-$1/2$) from the occurrence of two delocalized zero-energy Majorana
fermions in a model of two spins-$1/2$ on the Bloch sphere within the
fractional one-half topological state. We address specific protocols in time
with circularly polarized light and the protection of this delocalized
spin-$1/2$ state related to quantum information protocols. We also show how
disorder can play a positive and important role allowing singlet-triplet
transitions and resulting in an additional elongated region for the fractional
phase, demonstrating the potential of this platform related to applications in
topologically protected quantum information. We generalize our approach with an
array and Majorana fermions at the edges in a ring geometry.
