Special Session 99: Recent Advances in Mathematical Physics: A focus on (many-body) quantum systems and spectral theory.

A weak limit theorem for quantum walks in 1-dimension

Kazuyuki Wada
Hokkaido University of Education
Japan
Co-Author(s):    Masaya Maeda, Akito Suzuki
Abstract:
We consider the weak limit theorem for discrete-time quantum walks corresponding to the central limit theorem for classical random walks. The first result of this theorem was derived by Konno. After that, Suzuki extended this result to short-range cases. The next step is whether we can extend this result to long-range cases. In this talk, we will report some results in this direction.