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  • Letter

Topological sensing in the dynamics of quantum walks with defects

Xiaowei Tong1,2, Xingze Qiu3, Xiang Zhan1,2, Quan Lin1,2, Kunkun Wang4,*, Franco Nori5,6,†, and Peng Xue1,‡,§

  • *Contact author: kunkunwang@126.com
  • †Contact author: fnori@riken.jp
  • ‡Contact author: gnep.eux@gmail.com
  • §Present address: Beijing Computational Science Research Center, Beijing 100193, China.

Phys. Rev. B 112, L241116 – Published 26 December, 2025

DOI: https://doi.org/10.1103/3jtm-nxt4

Abstract

Topological quantum sensing leverages unique topological features to suppress noise and improve the precision of parameter estimation, emerging as a promising tool in both fundamental research and practical application. In this Letter, we propose a sensing protocol that exploits the dynamics of topological quantum walks incorporating localized defects. Unlike conventional schemes that rely on topological protection to suppress disorder and defects, our protocol harnesses the evolution time as a resource to enable precise estimation of the defect parameter. By utilizing topologically nontrivial properties of the quantum walks, the sensing precision can approach the Heisenberg limit. We further demonstrate the performance and robustness of the protocol through Bayesian estimation. Our results show that this approach maintains high precision over a broad range of parameters and exhibits strong robustness against disorder, offering a practical pathway for topologically enhanced quantum metrology.

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