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arxiv: 1108.5198 · v1 · pith:A3FPN3X3new · submitted 2011-08-25 · 🧮 math-ph · math.MP· quant-ph

Limit Theorems for the Fibonacci Quantum Walk

classification 🧮 math-ph math.MPquant-ph
keywords walkfibonacciquantumlimitadditiondiscrete-timedistributiongoverned
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We study the discrete-time quantum walk in one-dimension governed by the Fibonacci transformation .We show localization does not occur for the Fibonacci quantum walk by investigating the stationary distribution of the walk, in addition, we obtain the weak limit theorem.

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