  Quantum engineering of topological superconductors and of the ensuing
Majorana zero modes might hold the key for realizing a new paradigm for the
implementation of topological quantum computing and topology-based devices.
Magnet-superconductor hybrid (MSH) systems have proven to be experimentally
versatile platforms for the creation of topological superconductivity by
custom-designing the complex structure of their magnetic layer. Here, we
demonstrate that higher order topological superconductivity (HOTSC) can be
realized in two-dimensional MSH systems by using stacked magnetic structures.
We show that the sensitivity of the HOTSC to the particular magnetic stacking
opens an unprecedented ability to tune the system between trivial and
topological phases using atomic manipulation techniques. We propose that the
realization of HOTSC in MSH systems, and in particular the existence of the
characteristic Majorana corner modes, allows for the implementation of a
measurement-based protocols for topological quantum computing.
