  Reliable single photon sources constitute the basis of schemes for quantum
communication and measurement based quantum computing. Solid state single
photon sources based on quantum dots are convenient and versatile but the
electronic transitions that generate the photons are subject to interactions
with lattice vibrations. Using a microscopic model of electron-phonon
interactions and a quantum master equation, we here examine phonon-induced
decoherence and assess its impact on the rate of production, and
indistinguishability, of single photons emitted from an optically driven
quantum dot system. We find that, above a certain threshold of desired
indistinguishability, it is possible to mitigate the deleterious effects of
phonons by exploiting a three-level Raman process for photon production.
