Quantum walks on simplicial complexes

• Matsue, Kaname

• Ogurisu, Osamu

• Segawa, Etsuo

Abstract

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. © 2016 Springer Science+Business Media New York

Embargo Period 12 months

Journal

• Quantum Information Processing

  Quantum Information Processing 15 (5), 1865-1896, 2016-05-01

  Springer Science+Business Media

Keywords

• Quantum walk
• Simplicial complexes
• Tethered and movable quantum walks

Details

• CRID: 1050564285895880320
• NII Article ID: 120005743927
• NII Book ID: AA11856042
• ISSN: 15700755
• ISSN: 15731332
• DOI: 10.1007/s11128-016-1247-6
• Web Site: http://hdl.handle.net/2297/44895
• Web Site: http://link.springer.com/content/pdf/10.1007/s11128-016-1247-6.pdf
• Web Site: http://link.springer.com/article/10.1007/s11128-016-1247-6/fulltext.html
• Web Site: http://link.springer.com/content/pdf/10.1007/s11128-016-1247-6
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN