  Photon loss is the biggest enemy for scalable photonic quantum information
processing. This problem can be tackled by using quantum error correction,
provided that the overall photon loss is below a threshold of 1/3. However, all
reported on-demand and indistinguishable single-photon sources still fall short
of this threshold. Here, by using tailor shaped laser pulse excitation on a
high-quantum efficiency single quantum dot deterministically coupled to a
tunable open microcavity, we demonstrate a high-performance source with a
single-photon purity of 0.9795(6), photon indistinguishability of 0.9856(13),
and an overall system efficiency of 0.712(18), simultaneously. This source for
the first time reaches the efficiency threshold for scalable photonic quantum
computing. With this source, we further demonstrate 1.89(14) dB intensity
squeezing, and consecutive 40-photon events with 1.67 mHz count rate.
