We show that discrete-time quantum walks on the line, Z, behave as “the quantum tunneling”. In particular, quantum walkers can tunnel through a double-well with the transmission probability 1 under a mild condition. This is a property of quantum walks which cannot be seen on classical random walks, and is different from both linear spreadings and localizations.
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Mathematical Physics