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The uniform measure for discrete-time quantum walks in one dimension

Mathematical Physics 2014-10-28 v3 math.MP Quantum Physics

Abstract

We obtain the uniform measure as a stationary measure of the one-dimensional discrete-time quantum walks by solving the corresponding eigenvalue problem. As an application, the uniform probability measure on a finite interval at a time can be given.

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Cite

@article{arxiv.1311.0427,
  title  = {The uniform measure for discrete-time quantum walks in one dimension},
  author = {Norio Konno},
  journal= {arXiv preprint arXiv:1311.0427},
  year   = {2014}
}

Comments

21 pages, revised version, Quantum Information Processing (in press)