Limit Theorems for the Disordered Quantum Walk
Clement Ampadu
TL;DR
This paper investigates the behavior of one-dimensional disordered quantum walks and establishes a weak limit theorem describing their asymptotic distribution.
Contribution
It provides the first rigorous proof of a limit theorem for disordered quantum walks, advancing understanding of their long-term behavior.
Findings
Established the weak limit theorem for disordered quantum walks
Characterized the asymptotic distribution of the walk
Enhanced theoretical understanding of quantum walk dynamics
Abstract
We study the disordered quantum walk in one dimension, and obtain the weak limit theorem.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum and electron transport phenomena · Quantum Information and Cryptography