Limit distribution of a quantum walk driven by a CMV matrix
Machida, Takuya
arXiv, Tome 2019 (2019) no. 0, / Harvested from
Quantum walks with CMV matrices, five-diagonal unitary matrices, started to be studied in 2003 [1]. The spectral analysis for CMV matrices told us that the quantum walks could localize in distribution depending on the Verblunsky parameters of the matrices. In this paper, we work on a quantum walk whose system is manipulated by a CMV matrix with homogeneous Vervlunsky parameters, and present long-time limit distributions. One can understand from the theory that the quantum walk does not localize and how it approximately distributes after the long-time evolution has been executed on the walk.
Publié le : 2019-03-17
Classification:  Quantum Physics,  Mathematics - Probability 
@article{1903.07192,
     author = {Machida, Takuya},
     title = {Limit distribution of a quantum walk driven by a CMV matrix},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1903.07192}
}

Machida, Takuya. Limit distribution of a quantum walk driven by a CMV matrix. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1903.07192/