Propagating quantum walks: the origin of interference structures
Abstract
We analyse the solution of the coined quantum walk on a line. First, we derive the full solution, for arbitrary unitary transformations, by using a new approach based on the four 'walk fields' which we show determine the dynamics. The particular way of deriving the solution allows a rigorous derivation of a long wavelength approximation. This long wavelength approximation is useful as it provides an approximate analytical expression that captures the basics of the quantum walk and allows us to gain insight into the physics of the process.
- Publication:
-
Journal of Modern Optics
- Pub Date:
- December 2004
- DOI:
- 10.1080/09500340408232489
- arXiv:
- arXiv:quant-ph/0312133
- Bibcode:
- 2004JMOp...51.1761K
- Keywords:
-
- Quantum Physics
- E-Print:
- 17 pages, 3 figures. Submitted to Journal of Modern Optics