  An interesting concept in quantum computation is that of global control (GC),
where there is no need to manipulate qubits individually. One can implement a
universal set of quantum gates on a one-dimensional array purely via signals
that target the entire structure indiscriminately. But large-scale quantum
computation imposes several requirements in terms of noise level, time, space
(scaling) and in particular parallelism. Keeping in mind these requirements, we
prove GC can support error-correction, by implementing two simple codes. This
opens the way to fault-tolerant computation with this type of architecture.
