  Graph states have been used for quantum error correction by Schlingemann et
al. [Physical Review A 65.1 (2001): 012308]. Hypergraph states [Physical Review
A 87.2 (2013): 022311] are generalizations of graph states and they have been
used in quantum algorithms. We for the first time demonstrate how hypergraph
states can be used for quantum error correction. We also point out that they
are more efficient than graph states in the sense that to correct equal number
of errors on the same graph topology, suitably defined hypergraph states
require less number of gate operations than the corresponding graph states.
