ELFT HÍRADÓ

[tcsaba <tcsaba AT eik.bme.hu>]

                   M E G H Í V Ó - I N V I T A T I O N

    Seminar Series of the Department of Theoretical Physics at the
           Budapest University of Technology and Economics


                          Péter Vrana
          (Budapest University of Technology and Economics,
                    Department of Geometry)

              Homological codes and abelian anyons


We study a generalization of Kitaev's abelian toric code model defined 
on CW complexes. In this model two-level systems are attached to n 
dimensional cells and the interaction is given by generalized star and 
plaquette operators. We find that the set of energy-minimizing ground 
states and the types of charges carried by certain localized excitations 
depends only on the proper homotopy type of the CW complex. As an 
application we show that the homological product of a CSS code with the 
infinite toric code has excitations with abelian anyonic statistics.



Időpont: 2016. április 22. péntek, 10:15
Helyszín: BME Fizikai Intézet, Elméleti Fizika Tanszék,
Budafoki út 8. F-épület, III lépcsőház, szemináriumi szoba