Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1108.6110

Limit Theorems for the Disordered Quantum Walk

Clement Boateng Ampadu

Published Aug 31, 2011• 0 citations
arXivHTMLPDF

Abstract

We study the disordered quantum walk in one dimension, and obtain the weak limit theorem.
DOI
10.48550/arxiv.1108.6110

Related papers

Weak limit theorem for a one-dimensional split-step quantum walk

Toru Fuda, Daiju Funakawa, Akito Suzuki

This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between two Konno's functions appears.

arXiv:1804.05125•Apr 13, 2018•14 citations

A weak limit theorem for anisotropic quantum walks on lattices

Ippei Mimura

•Mar 25, 2022•0 citations

A weak limit theorem for anisotropic quantum walks on lattices

Ippei Mimura

•Mar 25, 2022•0 citations

A weak limit theorem for a class of long-range-type quantum walks in 1d

Kazuyuki Wada

arXiv:1901.10362•Quantum Information Processing•Nov 13, 2019•11 citations

Weak limit theorem for a nonlinear quantum walk

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2 more

arXiv:1801.06625•Quantum Information Processing•Jul 17, 2018•17 citations

Limit Theorems and Absorption Problems for One-Dimensional Correlated Random Walks

Norio Konno

There has recently been considerable interest in quantum walks in connection with quantum computing. The walk can be considered as a quantum version of the so-called correlated random walk. We clarify a strong structural similarity between both walks and study limit theorems and absorption problems for correlated random walks by our PQRS method, which was used in our analysis of quantum walks.

arXiv:quant-ph/0310191•Stochastic Models•Feb 12, 2009•44 citations