  In superconductors, vortices induced by a magnetic field are nucleated
randomly due to some random fluctuations or pinned by impurities or boundaries,
impeding the development of vortex based quantum devices. Here, we propose a
superconducting structure which allows to nucleate and control vortices
on-demand by controlling magnetic fields and currents. Using time-dependent
Ginzburg Landau theory, we study a driven vortex motion in two-dimensional
Corbino geometries of superconductor-normal metal-superconductor Josephson
junctions. We remedy the randomness of nucleation by introducing normal
conducting rails to the Corbino disk to guide the nucleation process and motion
of vortices towards the junction. We elaborate on the consequences of
rail-vortex and vortex-vortex interactions to the quantization of resistance
across the junction. Finally, we simulate the nucleations and manipulations of
two and four vortices in Corbino networks, and discuss its application to
Majorana zero mode braiding operations. Our study provides a potential route
towards quantum computation with non-Abelian anyons.
