2016年5月
Quantum walks on simplicial complexes
QUANTUM INFORMATION PROCESSING
- ,
- ,
- 巻
- 15
- 号
- 5
- 開始ページ
- 1865
- 終了ページ
- 1896
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s11128-016-1247-6
- 出版者・発行元
- SPRINGER
We construct a new type of quantum walks on simplicial complexes as a natural extension of the well-known Szegedy walk on graphs. One can numerically observe that our proposing quantum walks possess linear spreading and localization as in the case of the Grover walk on lattices. Moreover, our numerical simulation suggests that localization of our quantum walks reflects not only topological but also geometric structures. On the other hand, our proposing quantum walk contains an intrinsic problem concerning exhibition of non-trivial behavior, which is not seen in typical quantum walks such as Grover walks on graphs.
- リンク情報
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- DOI
- https://doi.org/10.1007/s11128-016-1247-6
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000374459300003&DestApp=WOS_CPL
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84957609309&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84957609309&origin=inward
- ID情報
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- DOI : 10.1007/s11128-016-1247-6
- ISSN : 1570-0755
- eISSN : 1573-1332
- SCOPUS ID : 84957609309
- Web of Science ID : WOS:000374459300003