One-dimensional discrete-time quantum walks on random environments
Abstract
We consider discrete-time nearest-neighbor quantum walks on random environments in one dimension. Using the method based on a path counting, we present both quenched and annealed weak limit theorems for the quantum walk.
- Publication:
-
Quantum Information Processing
- Pub Date:
- October 2009
- DOI:
- 10.1007/s11128-009-0116-y
- arXiv:
- arXiv:0904.0392
- Bibcode:
- 2009QuIP....8..387K
- Keywords:
-
- Quantum walk;
- Random environment;
- Limit theorem;
- Hadamard walk;
- 03.67.Lx;
- 05.40.Fb;
- 02.50.Cw;
- 60F05;
- 60G50;
- 82B41;
- 81Q99;
- Quantum Physics
- E-Print:
- 12 pages, minor corrections, Journal-ref added