Limit Distribution for a Time-Inhomogeneous 2-State Quantum Walk
被引:4
作者:
Machida, Takuya
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机构:
Meiji Univ, Japan Soc Promot Sci, Meiji Inst Adv Study Math Sci, Tama Ku, Kawasaki, Kanagawa 2148571, JapanMeiji Univ, Japan Soc Promot Sci, Meiji Inst Adv Study Math Sci, Tama Ku, Kawasaki, Kanagawa 2148571, Japan
Machida, Takuya
[1
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机构:
[1] Meiji Univ, Japan Soc Promot Sci, Meiji Inst Adv Study Math Sci, Tama Ku, Kawasaki, Kanagawa 2148571, Japan
We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk in certain intervals. In the usual QWs starting from the origin, localization does not occur at all. However, our walk can be localized around the origin. In this paper, we present some limit distributions for the walk.
机构:
Univ Republica, Inst Fis, Montevideo, Uruguay
Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, BrazilUniv Republica, Inst Fis, Montevideo, Uruguay
机构:
Univ Republica, Inst Fis, Montevideo, Uruguay
Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, BrazilUniv Republica, Inst Fis, Montevideo, Uruguay