Limiting distributions of quantum walks on the square lattice
Takashi Komatsu · Institutional Repositories DataBase (IRDB) · 2015
In the study of quantum walks, determining their limit distributions is one of the important issues. In this paper, we propose a model of discretetime quantum walks on the square lattice without localization and give its limit distribution. Based on the argument on G.Grimmett-S.Janson-P.F.Scudo [9]. We also discuss the relationship between our quantum walks and alternate quantum walks. In the last section, we give consideration on the positive-operator-valued measure (POVM) and express our main theorem in the context.