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arXiv · 0802.2289

The Fibonacci quantum walk and its cassical trace map

Alejandro Romanelli
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Abstract

We study the quantum walk in momentum space using a coin arranged in quasi-periodic sequences following a Fibonacci prescription. We build for this system a classical map based on the trace of the evolution operator. The sub-ballistic behavior of this quantum walk is connected with the power-law decay of the time correlations of the trace map.

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Alejandro Romanelli. 2008-02-15. The Fibonacci quantum walk and its cassical trace map. https://doi.org/10.1016/j.physa.2009.06.022

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