  We present finite element method based simulation results for on-chip
controlled photon interference in optical networks based upon interconnected
arrays of primitives comprising a single photon source (SPS) embedded in
lithographically fabricable rectangular dielectric building block (DBB) based
metastructures in which a single collective Mie resonance of the whole circuit
provides the needed light manipulating functions of nanoantenna,
state-preserving-guiding, beam-splitting and beam-combining. Efficient coupling
of the SPSs to the co-designed collective Mie mode of DBBs is achieved. The
findings provide strong incentive for the fabrication and examination of such
optical circuits that underlie on-chip scalable nanophotonic quantum
information processing systems.
