English

Localized State in a Two-Dimensional Quantum Walk on a Disordered Lattice

Quantum Physics 2016-04-22 v2

Abstract

We realize a pair of simultaneous ten-step one-dimensional quantum walks with two walkers sharing coins, which we prove is analogous to the ten-step two-dimensional quantum walk with a single walker holding a four-dimensional coin. Our experiment demonstrates a ten-step quantum walk over an 11x11 two-dimensional lattice with a line defect, thereby realizing a localized walker state.

Keywords

Cite

@article{arxiv.1604.05905,
  title  = {Localized State in a Two-Dimensional Quantum Walk on a Disordered Lattice},
  author = {Peng Xue and Rong Zhang and Zhihao Bian and Xian Zhan and Hao Qin and Barry C. Sanders},
  journal= {arXiv preprint arXiv:1604.05905},
  year   = {2016}
}

Comments

8 pages, 5 figures

R2 v1 2026-06-22T13:36:40.596Z