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Phys Rev Lett. 2014 Aug 22;113(8):083602. Epub 2014 Aug 21.

Driven quantum walks.

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FNSPE, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic.
Applied Physics, University of Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany.


We introduce the concept of a driven quantum walk. This work is motivated by recent theoretical and experimental progress that combines quantum walks and parametric down-conversion, leading to fundamentally different phenomena. We compare these striking differences by relating the driven quantum walks to the original quantum walk. Next, we illustrate typical dynamics of such systems and show that these walks can be controlled by various pump configurations and phase matchings. Finally, we end by proposing an application of this process based on a quantum search algorithm that performs faster than a classical search.

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