Quantum walk on the line through potential barriers

Quantum walk on the line through potential barriers Quantum walks are well known for their ballistic dispersion, traveling $$\Theta (t)$$ 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 $$\Theta (t)$$ Θ ( t ) dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Quantum walk on the line through potential barriers

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Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1215-6
Publisher site
See Article on Publisher Site

Abstract

Quantum walks are well known for their ballistic dispersion, traveling $$\Theta (t)$$ 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 $$\Theta (t)$$ Θ ( t ) dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments.

Journal

Quantum Information ProcessingSpringer Journals

Published: Dec 22, 2015

References

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