  Experiments involving phase coherent dynamics of networks of spins, such as
echo experiments, will only work if decoherence can be suppressed. We show
here, by analyzing the particular example of a crystalline network of Fe8
molecules, that most decoherence typically comes from pairwise interactions
(particularly dipolar interactions) between the spins, which cause `correlated
errors'. However at very low T these are strongly suppressed. These results
have important implications for the design of quantum information processing
systems using electronic spins.
