2017年12月
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice
QUANTUM INFORMATION PROCESSING
- ,
- 巻
- 16
- 号
- 12
- 開始ページ
- 291
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s11128-017-1737-1
- 出版者・発行元
- SPRINGER
Stationary measures of quantum walks on the one-dimensional integer lattice are well studied. However, the stationary measure for the higher-dimensional case has not been clarified. In this paper, we give the stationary amplitude for quantum walks on the d-dimensional integer lattice with a finite support by solving the corresponding eigenvalue problem. As a corollary, we can obtain the stationary measures of the Grover walks. In fact, the amplitude for the stationary measure is an eigenfunction with eigenvalue 1.
- リンク情報
- ID情報
-
- DOI : 10.1007/s11128-017-1737-1
- ISSN : 1570-0755
- eISSN : 1573-1332
- Web of Science ID : WOS:000414231200007