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The Fibonacci quantum walk and its cassical trace map

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.

preprint2008arXivOpen access
Alejandro Romanelli
quant-ph
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Alejandro Romanelli

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