  Photonic quantum technology relies on efficient sources of coherent single
photons, the ideal carriers of quantum information. Heralded single photons
from parametric down-conversion can approximate on-demand single photons to a
desired degree, with high spectral purities achieved through group-velocity
matching and tailored crystal nonlinearities.
  Here we propose crystal nonlinearity engineering techniques with
sub-coherence-length domains. We first introduce a combination of two existing
methods: a deterministic approach with coherence-length domains and
probabilistic domain-width annealing. We then show how the same deterministic
domain-flip approach can be implemented with sub-coherence length domains. Both
of these complementary techniques create highly pure photons, outperforming
previous methods, in particular for short nonlinear crystals matched to
femtosecond lasers.
