A Spectral Analysis of Discrete-Time Quantum Walks Related to the Birth and Death Chains
學年 106
學期 2
出版（發表）日期 2018-03-08
作品名稱 A Spectral Analysis of Discrete-Time Quantum Walks Related to the Birth and Death Chains
作品名稱（其他語言）
著者 Choon-Lin Ho; Yusuke Ide; Norio Konno; Etsuo Segawa; Kentaro Takumi
單位
出版者
著錄名稱、卷期、頁數 Journal of Statistical Physics 171(2), p.207-219
摘要 In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary distributions of the quantum walks are described by the pair of eigenvalues of the coins as well as the eigenvalues and eigenvectors of the corresponding random walks which are usually referred as the birth and death chains. As an example of the results, we derive the time averaged distribution of so-called Szegedy’s walk which is related to the Ehrenfest model. It is represented by Krawtchouk polynomials which is the eigenvectors of the model and includes the arcsine law.
關鍵字 Quantum walk;Birth and death chain;Ehrenfest model;Krawtchouk polynomials
語言 en
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 否
國別 CHE
公開徵稿
出版型式 ,電子版,紙本
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