The Rayleigh–Taylor instability appears at the boundary between fluids of different densities, especially when the denser fluid is subjected to acceleration by the less dense fluid. An important aspect of this phenomenon is the investigation of the stability conditions governing such systems. Several parameters, including the density difference between the two fluids, the length scale of the density inhomogeneity, the initial velocity difference between the two fluids, magnetic fields, viscosity, and collision rate, can significantly affect the stability or instability of the system. To date, several of these factors have been investigated in classical and quantum physics. This phenomenon has been analyzed in both its linear and nonlinear forms. This study considers a collisional magnetic inhomogeneous quantum plasma if the two fluids have inhomogeneous initial velocities. For the velocity inhomogeneity profile modeled in two cases, a linear profile, and a parabolic profile, we have obtained the second ordinary differential equation related to the turbulent velocity. Since the differential equation has no analytical solution, we have used numerical methods to calculate the growth rate curve and obtain the turbulent velocity characteristics in the discontinuity. Then, we investigate the effect of various parameters, such as collision interactions, magnetic fields, quantum effects, and density differences between the two fluids, on the stabilization of the system. In addition, we additionally try to investigate the effect of the two initial fluid velocity profiles on the stabilization of this discontinuity.