期刊論文
| 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 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/117057 ) |