Abstract
The possibility of using the twofold 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.
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