論文

査読有り
2017年12月

Stationary amplitudes of quantum walks on the higher-dimensional integer lattice

QUANTUM INFORMATION PROCESSING
  • Takashi Komatsu
  • ,
  • Norio Konno

16
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
DOI
https://doi.org/10.1007/s11128-017-1737-1
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000414231200007&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s11128-017-1737-1
  • ISSN : 1570-0755
  • eISSN : 1573-1332
  • Web of Science ID : WOS:000414231200007

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