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Limit Theorems For the Grover Walk Without Memory

Mathematical Physics 2011-08-23 v1 math.MP Quantum Physics

Abstract

We consider the Grover walk as a 4-state quantum walk without memory in one dimension. The walker in our 4-state quantum walk moves to the left or right. We compute the stationary distribution of the walk, in addition, we obtain the weak limit theorem

Keywords

Cite

@article{arxiv.1108.4149,
  title  = {Limit Theorems For the Grover Walk Without Memory},
  author = {Clement Ampadu},
  journal= {arXiv preprint arXiv:1108.4149},
  year   = {2011}
}

Comments

15 pages, contains an extreme open problem

R2 v1 2026-06-21T18:53:14.589Z