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arXiv · 0708.0184

Non-stationary quantum walks on the cycle

Domenico D'Alessandro·Gianfranco Parlangeli·Francesca Albertini
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Abstract

We consider quantum walks on the cycle in the non-stationary case where the `coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, it is possible to asymnptotically reach a uniform distribution among the nodes of the associated graph.

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Domenico D'Alessandro, Gianfranco Parlangeli, Francesca Albertini. 2008-04-03. Non-stationary quantum walks on the cycle. https://doi.org/10.1088/1751-8113/40/48/010

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