Localization of Discrete Time Quantum Walks on the Glued Trees

Localization of Discrete Time Quantum Walks on the Glued Trees

In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyze the walks on the glued trees, we consider a reduction to the walks on path graphs. Using a spectral analysis of the Jacobi matrices defined by the corresponding random wal...

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Bibliographic Details
Main Authors: Yusuke Ide, Norio Konno, Etsuo Segawa, Xin-Ping Xu
Format: Article
Language:English
Published: MDPI AG 2014-03-01
Series:Entropy
Subjects:
discrete time quantum walks
Localization
glued tree
Jacobi matrix
spectral analysis
Orthogonal Polynomial
Chebyshev polynomial
Online Access:http://www.mdpi.com/1099-4300/16/3/1501

Internet

http://www.mdpi.com/1099-4300/16/3/1501

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