Quantum Walk with a time-dependent coin

Details Quantum Walk with a time-dependent coin Quantum Walk with a time-dependent coin

2005-10-06

arxiv.org/abs/quant-ph/0510046v2

Physics

Quantum Physics

18 pages, 6 figures Revised version

Scientific paper

10.1103/PhysRevA.73.062304

We introduce quantum walks with a time-dependent coin, and show how they include, as a particular case, the generalized quantum walk recently studied by Wojcik et al. {[}Phys. Rev. Lett. \textbf{93}, 180601(2004){]} which exhibits interesting dynamical localization and quasiperiodic dynamics. Our proposal allows for a much easier implementation of this particular rich dynamics than the original one. Moreover, it allows for an additional control on the walk, which can be used to compensate for phases appearing due to external interactions. To illustrate its feasibility, we discuss an example using an optical cavity. We also derive an approximated solution in the continuous limit (long--wavelength approximation) which provides physical insight about the process.

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