This paper proposed a novel scheme of silicon photonic quantum circuits to overcome the impact of noise photons introduced by pump lights. This scheme utilizes two types of silicon waveguides, strip waveguide and shallow-ridge waveguide. The strip waveguides are used as nonlinear media for FWM quantum light sources, the shallow-ridge waveguides are used to realize the circuits for pump light distribution and photonic quantum state manipulation. The impact of noise photons generated by the pump lights out of the quantum light sources can be overcome utilizing the spectral difference of spontaneous FWMs in these two waveguides, which is due to the difference of their dispersion characteristics. In this work, the principle of this scheme is demonstrated theoretically and experimentally. And its potential is shown by the theoretical analysis on two silicon photonic quantum circuit designs. The proposed scheme overcomes the impact of noise photons introduced by pump lights without optical filters/resonators and their control units. It greatly simplifies the design and application of photonic quantum circuits, and provides a simple way to develop circuits with large scale and complicated quantum information functions. At present, this scheme has been applied to our several photonic quantum circuit designs. This paper was published at Photonics Research, Volume 8, Issue 3, 2020 (L. Yu, et al., Hybrid waveguide scheme for silicon-based quantum photonic circuits with quantum light sources). It is selected as a Spotlight paper of PR. the The first author and corresponding author of this paper are Ph. D candidate Lingjie Yu and A/Prof. Wei Zhang, respectively.