English

Localization of M-Particle Quantum Walks

Quantum Physics 2011-06-28 v1 Mathematical Physics math.MP

Abstract

We study the motion of M particles performing a quantum walk on the line. Under various conditions on the initial coin states for quantum walkers controlled by the Hadamard operator, we give theoretical criterion to observe the quantum walkers at an initial location with high probability.

Keywords

Cite

@article{arxiv.1106.5234,
  title  = {Localization of M-Particle Quantum Walks},
  author = {Clement Ampadu},
  journal= {arXiv preprint arXiv:1106.5234},
  year   = {2011}
}

Comments

To the authors knowledge, this paper appears to be the first to study the localization problem for a general M-Particle quantum walk. Will submit for publication

R2 v1 2026-06-21T18:27:46.957Z