An algebraic structure for one-dimensional quantum walks and a new proof of the weak limit theorem

研究成果: Article査読

1 被引用数 (Scopus)

抄録

An algebraic structure for one-dimensional quantum walks is introduced. This structure characterizes, in some sense, one-dimensional quantum walks. A natural computation using this algebraic structure leads us to obtain an effective formula for the characteristic function of the transition probability. Then, the weak limit theorem for the transition probability of quantum walks is deduced by using simple properties of the Chebyshev polynomials.

本文言語English
論文番号1350018
ジャーナルInfinite Dimensional Analysis, Quantum Probability and Related Topics
16
2
DOI
出版ステータスPublished - 2013 6 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Applied Mathematics

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