Driven Quantum Walks

TL;DR

This paper introduces driven quantum walks, a new type of quantum walk influenced by external driving, demonstrating their unique dynamics, controllability, and potential for faster quantum search algorithms.

Contribution

The paper presents the concept of driven quantum walks, relating them to traditional quantum walks, and explores their controllability and application in quantum search.

Findings

Driven quantum walks exhibit distinct dynamics from standard quantum walks.

Control over walks is achieved through pump configurations and phase matching.

Proposed driven quantum walk-based search algorithm outperforms classical search methods.

Abstract

In this letter 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 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.