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arxiv: 0802.2289 · v1 · pith:HHS355ZJnew · submitted 2008-02-15 · 🪐 quant-ph

The Fibonacci quantum walk and its cassical trace map

classification 🪐 quant-ph
keywords quantumtracewalkfibonacciarrangedbehaviorbuildcassical
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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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