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Staggered quantum walks with superconducting microwave resonators

The staggered quantum walk is a model defined by the product of local operators associated with two or more independent graph tessellations. This model is versatile, encompasses several well-known discrete-time quantum walks, and inherits interesting features of the continuous-time quantum walk. We...

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Bibliographic Details
Published in:Physical review. B 2017-04, Vol.95 (14), p.144506, Article 144506
Main Authors: Khatibi Moqadam, J., de Oliveira, M. C., Portugal, R.
Format: Article
Language:English
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Summary:The staggered quantum walk is a model defined by the product of local operators associated with two or more independent graph tessellations. This model is versatile, encompasses several well-known discrete-time quantum walks, and inherits interesting features of the continuous-time quantum walk. We propose an implementation of the staggered quantum walk model with superconducting microwave resonators, where the required local operations are provided by the nearest neighbor interaction of the resonators coupled through superconducting quantum interference devices. The tunability of the interactions makes this system an excellent toolbox for this class of quantum walks. We focus on the one-dimensional case and discuss its generalization to a more general class known as triangle-free graphs.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.95.144506