The Fibonacci quantum walk and its classical trace map

A. Romanelli

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 18, 3985-3990

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.

Keywords: Quantum walk; Fibonacci (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:18:p:3985-3990

DOI: 10.1016/j.physa.2009.06.022

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