We investigate the distribution of errors on a computationally useful
entangled state generated via the repeated emission from an emitter undergoing
strongly non-Markovian evolution. For emitter-environment coupling of
pure-dephasing form, we show that the probability that a particular patten of
errors occurs has a bound of Markovian form, and thus accuracy threshold
theorems based on Markovian models should be just as effective. This is the
case, for example, for a charged quantum dot emitter in a moderate to strong
magnetic field. Beyond the pure-dephasing assumption, though complicated error
structures can arise, they can still be qualitatively bounded by a Markovian
error model.Comment: Close to published versio