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arXiv · 1301.2905

Quantum walks with memory on cycles

Michael Mc Gettrick·Jarosław Adam Miszczak
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Abstract

We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probability distribution of the introduced quantum walk. Using the obtained results, we discuss the properties of the introduced model and the difference in comparison to the memoryless model.

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Michael Mc Gettrick, Jarosław Adam Miszczak. 2014-02-06. Quantum walks with memory on cycles. https://doi.org/10.1016/j.physa.2014.01.002

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