  The possibility of using the two-fold topological degeneracy of spin-1/2
chiral spin liquid states on the torus to construct quantum error correcting
codes is investigated. It is shown that codes constructed using these states on
finite periodic lattices do not meet the necessary and sufficient conditions
for correcting even a single qubit error with perfect fidelity. However, for
large enough lattice sizes these conditions are approximately satisfied, and
the resulting codes may therefore be viewed as approximate quantum error
correcting codes.
