  Recent studies of globally controlled structures have culminated in a
theoretical demonstration that fault-tolerant quantum computation can be
carried out on a one--dimensional chain with control over two global fields
only. This required some patterns of classical states to localise operations,
which were stabilised with the Zeno effect. However, it is impossible to
achieve perfect stabilisation using this method, so error correction of these
states is desirable, and is the focus this paper.
