  We develop a thermally tunable hybrid photonic platform comprising gallium
arsenide (GaAs) photonic crystal cavities, silicon nitride (SiN$_x$) grating
couplers and waveguides, and chromium (Cr) microheaters on an integrated
photonic chip. The GaAs photonic crystal cavities are evanescently connected to
a common bus waveguide, separating the computation and communication layers.
The microheaters are designed to continuously and reversibly tune distant
photonic crystal cavities to a common resonance. This architecture can be
implemented in a coherent optical network for dedicated optical computing and
machine learning.
