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:0904.0392 · Quantum Information Processing

One-dimensional discrete-time quantum walks on random environments

Norio Konno

Published May 26, 2009• 63 citations
arXivHTMLPDF
DOI
10.1007/s11128-009-0116-y

Related papers

Discrete-time quantum walks on one-dimensional lattices

X.-P. Xu

arXiv:1003.1822•The European Physical Journal B•Sep 16, 2010•16 citations

The envelope of one-dimensional discrete-time quantum walk

Yunguo Lin, Shuiying Cai

Information Sciences•Sep 30, 2025•0 citations

From Discrete Time Quantum Walk to Continuous Time Quantum Walk in Limit Distribution

Yutaka Shikano

The discrete time quantum walk defined as a quantum-mechanical analogue of the discrete time random walk have recently been attracted from various and interdisciplinary fields. In this review, the weak limit theorem, that is, the asymptotic behavior, of the one-dimensional discrete time quantum walk is analytically shown. From the limit distribution of the discrete time quantum walk, the discrete time quantum walk can be taken as the quantum dynamical simulator of some physical systems.

arXiv:1307.3384•Journal of Computational and Theoretical Nanoscience•Jun 20, 2013•51 citations

Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Ide, Yusuke, Norio Konno, Takuya Machida +1 more

We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.

arXiv:1103.1180•Mar 7, 2011•2 citations

Quantum Random Walks in One Dimension

Norio Konno

arXiv:quant-ph/0206053•Quantum Information Processing•Oct 1, 2002•301 citations

Discrete-Time Quantum Walks of the One-Dimensional Dirac Oscillator

Siyong Jia, Delong Jia, Ziteng Song +1 more

Journal of Low Temperature Physics•Aug 10, 2022•0 citations