Majorana Zero Modes and Quantum Algorithms in Topological Superconductors
Prof. Dirk Morr
University of Illinois, Chicago
Majorana zero modes (MZMs) that emerge in topological superconductors possess a non-Abelian braiding statistics and robustness against decoherene and disorder effects that provide an intriguing path for the implementation of topologically protected quantum algorithms. In this talk, I will review recent progress in the theoretical prediction and experimental realization of material platforms – ranging from the iron-chalcogenide superconductor FeSe1-xTex to magnet-superconductor hybrid structures – in which topological superconducting phases can be realized. Moreover, I will discuss different protocols for the implementation of quantum algorithms employing MZMs located in MSH networks, inside vortex cores, or along interfaces. Finally, I will demonstrate the successful real-time simulation of the Bernstein-Vazirani algorithm from initialization to the read-out of the final qubit state.