title: A one-dimensional quantum walk with multiple-rotation on the coin.
abstract: We introduce and analyze a one-dimensional quantum walk with two time-independent rotations on the coin. We study the influence on the property of quantum walk due to the second rotation on the coin. Based on the asymptotic solution in the long time limit, a ballistic behaviour of this walk is observed. This quantum walk retains the quadratic growth of the variance if the combined operator of the coin rotations is unitary. That confirms no localization exhibits in this walk. This result can be extended to the walk with multiple time-independent rotations on the coin.
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Peng
authors.initials: P
authors.lastname: Xue
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Rong
authors.initials: R
authors.lastname: Zhang
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Hao
authors.initials: H
authors.lastname: Qin
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Xiang
authors.initials: X
authors.lastname: Zhan
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Zhihao
authors.initials: Z
authors.lastname: Bian
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Jian
authors.initials: J
authors.lastname: Li
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