Coined quantum walks on the line: Disorder, entanglement, and localization

Louie Hong Yao, Sascha Wald

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Disorder in coined quantum walks generally leads to localization. We investigate the influence of the localization on the entanglement properties of coined quantum walks. Specifically, we consider quantum walks on the line and explore the effects of quenched disorder in the coin operations. After confirming that our choice of disorder localizes the walker, we study how the localization affects the properties of the coined quantum walk. We find that the mixing properties of the walk are altered nontrivially with mixing being improved at short time scales. Special focus is given to the influence of coin disorder on the properties of the quantum state and the coin-walker entanglement. We find that disorder alters the quantum state significantly even when the walker probability distribution is still close to the nondisordered case. We observe that, generically, coin disorder decreases the coin-walker entanglement and that the localization leaves distinct traces in the entanglement entropy and the entanglement negativity of the coined quantum walk.
Original languageEnglish
Article number 024139
Number of pages11
JournalPhysical Review E
Issue number2
Publication statusPublished - 24 Aug 2023

Bibliographical note

Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. (CC BY 4.0) Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.


  • Anderson localization
  • Localization
  • Nonequilibrium statistical mechanics
  • Quantum simulation
  • Quantum transport
  • Transport phenomena
  • Statistical Physics
  • Quantum Information


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