A processor uses the same virtual address space for heterogeneous processing units of the processor. The processor employs different sets of page tables for different types of processing units, such as a CPU and a GPU, wherein a memory management unit uses each set of page tables to translate virtual addresses of the virtual address space to corresponding physical addresses of memory modules associated with the processor. As data is migrated between memory modules, the physical addresses in the page tables can be updated to reflect the physical location of the data for each processing unit.