Recently, within the field of the AdS/CFT correspondence, the idea of a bulk space time emerging from entanglement data localized on its boundary has appeared. Frequent elaborations of this idea are employing the language of quantum error correcting codes. Such efforts are usually encapsulated under the phrase of "space time as a quantum error correcting" code. These investigations basically boil down to elaborations on relating the observables of a quantum field theory of the bulk to the observables of a quantum field theory of the boundary, by employing some method of encoding. However, due to the presence of an infinite number of degrees of freedom these approaches are not particularly enlightening . Luckily, recently geometric models of space time structures with a finite number of degrees of freedom have also appeared. In these toy models finite geometric structures are combined with the techniques of error correcting (subspace) codes.The aim of these efforts is to understand bulk/boundary like correspondences in a much simpler scenario. The hope is that such models will give useful hints for further research. The PhD topic provides an opportunity to embark on this interesting new research area, lying in the overlap of the fields of error correcting codes and finite geometry.
Az elméleti fizika alapos ismerete. Érdeklődés a matematikai fizika iránt.