教師資料查詢 | 類別: 期刊論文 | 教師: 何俊麟 HO, CHOON-LIN (瀏覽個人網頁)

標題: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
語言英文
ISSN
期刊性質國外
收錄於SCI;
產學合作
通訊作者
審稿制度
國別瑞士
公開徵稿
出版型式,電子版,紙本
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