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arXiv · 1704.07328

Resolvent Methods for Quantum Walks with an Application to a Thue-Morse Quantum Walk

Jake Fillman
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Abstract

In this expository note, we discuss spatially inhomogeneous quantum walks in one dimension and describe a genre of mathematical methods that enables one to translate information about the time-independent eigenvalue equation for the unitary generator into dynamical estimates for the corresponding quantum walk. To illustrate the general methods, we show how to apply them to a 1D coined quantum walk whose coins are distributed according to an element of the Thue--Morse subshift.

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BibTeXRIS

Jake Fillman. 2017-04-24. Resolvent Methods for Quantum Walks with an Application to a Thue-Morse Quantum Walk. https://doi.org/10.4036/iis.2017.a.04

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