Spectral analysis of discrete-time quantum walks in the quarter plane
Clement Ampadu
TL;DR
This paper applies the CGMV method to analyze the spectral properties of discrete-time quantum walks in the quarter plane, providing insights into their spectral measures and behavior.
Contribution
It introduces a spectral analysis approach for quantum walks in the quarter plane using the CGMV method, advancing understanding of their spectral characteristics.
Findings
Spectral measure derived for quantum walks in the quarter plane
Enhanced understanding of quantum walk spectral properties
Methodology applicable to other quantum walk configurations
Abstract
Using the Cantero-Grunbaum-Moral-Velazquez (CGMV) method, we obtain the spectral measure for the quantum walk.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum and electron transport phenomena