  Integrated photonic circuits are an integral part of all-optical and on-chip
quantum information processing and quantum computer. Deterministically
integrated single-photon sources in nanoplasmonic circuits lead to densely
packed scalable quantum logic circuits operating beyond the diffraction limit.
Here, we report the coupling efficiency of single-photon sources to the
plasmonic waveguide, characteristic transmission spectrum, propagation length,
decay length, and plasmonic Purcell factor. We simulated the transmission
spectrum to find the appropriate wavelength for various width of the dielectric
in the metal-dielectric-metal waveguide. We find the maximum propagation length
of 3.98 $\mu$m for Al$_{2}$O$_{3}$ dielectric-width equal to 140 nm and
coupling efficiency to be greater than 82 \%. The plasmonic Purcell factor was
found to be inversely proportional to dielectric-width (w), reaching as high as
31974 for w equal to 1 nm. We also calculated quantum properties of the photons
like indistinguishability and found that it can be enhanced by
plasmonic-nanocavity if single-photon sources are deterministically coupled. We
further, propose a scalable metal-dielectric-metal waveguide based quantum
logic circuits using the plasmonic circuit and Mach-Zehnder interferometer.
