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Symmetry of distribution for the one-dimensional Hadamard walk

Quantum Physics 2007-05-23 v4

Abstract

In this paper we study a one-dimensional quantum random walk with the Hadamard transformation which is often called the Hadamard walk. We construct the Hadamard walk using a transition matrix on probability amplitude and give some results on symmetry of probability distributions for the Hadamard walk.

Keywords

Cite

@article{arxiv.quant-ph/0205065,
  title  = {Symmetry of distribution for the one-dimensional Hadamard walk},
  author = {Norio Konno and Takao Namiki and Takahiro Soshi},
  journal= {arXiv preprint arXiv:quant-ph/0205065},
  year   = {2007}
}

Comments

17 pages, revised version, Journal-ref added