  Integrated sources of indistinguishable photons have attracted a lot of
attention because of their applications in quantum communication and optical
quantum computing. Here, we demonstrate an ultra-compact quantum splitter for
degenerate single photons based on a monolithic chip incorporating Sagnac loop
and a micro-ring resonator with a footprint of 0.011 mm2, generating and
deterministically splitting indistinguishable photon pairs using time-reversed
Hong-Ou-Mandel interference. The ring resonator provides enhanced photon
generation rate, and the Sagnac loop ensures the photons travel through equal
path lengths and interfere with the correct phase to enable the reversed HOM
effect to take place. In the experiment, we observed a HOM dip visibility of
94.5 +- 3.3 %, indicating the photons generated by the degenerate single photon
source are in a suitable state for further integration with other components
for quantum applications, such as controlled-NOT gates.
