Quantum walks are well known for their ballistic dispersion, traveling Θ(t) away in t steps, which is quadratically faster than a classical random walk’s diffusive spreading. In physical implementations of the walk, however, the particle may need to tunnel through a potential barrier to hop, and a naive calculation suggests that this could eliminate the ballistic transport. We show by explicit calculation, however, that such a loss does not occur. Rather, the Θ(t) dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments.
CITATION STYLE
Wong, T. G. (2016). Quantum walk on the line through potential barriers. Quantum Information Processing, 15(2), 675–688. https://doi.org/10.1007/s11128-015-1215-6
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