In my thesis I study Majorana fermions from three different perspectives. The first one corresponds to non-interacting Majorana fermions that, however, pose non-trivial topological properties. The... Show moreIn my thesis I study Majorana fermions from three different perspectives. The first one corresponds to non-interacting Majorana fermions that, however, pose non-trivial topological properties. The second one corresponds to strongly interacting Majoranas and the third to relic neutrinos. No one knows for sure if they have Dirac or Majorana nature. Show less
The research contained in this thesis lies at the interface between quantum phyiscs, nanotechnology and the theory of computation. Its goal is to design electronic circuits to realize computations... Show moreThe research contained in this thesis lies at the interface between quantum phyiscs, nanotechnology and the theory of computation. Its goal is to design electronic circuits to realize computations that follow the laws of quantum mechanics, and which would allow to execute some algorithms faster than their classical counterparts - for instance, algorithms to solve chemical problems. In particular, these circuits use Majorana modes, very special states which appear in superconductors and are theoretically predicted to protect information from the environment, so that the computation can be executed without errors. The role of my research was to design electronic circuits able to use this fascinating property. Hence, this work is a bridge between some very abstract mathematical ideas and the very concrete world of electronic circuits, made out of inductors and capacitors. Show less
