Quantum walks on simplicial complexes

Kaname Matsue, Osamu Ogurisu, Etsuo Segawa

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1865-1896
Number of pages32
JournalQuantum Information Processing
Volume15
Issue number5
DOIs
Publication statusPublished - May 1 2016

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Quantum Walk
Simplicial Complex
Walk
Computer simulation
Geometric Structure
Natural Extension
Graph in graph theory
simulation
Numerical Simulation

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering

Cite this

Quantum walks on simplicial complexes. / Matsue, Kaname; Ogurisu, Osamu; Segawa, Etsuo.

In: Quantum Information Processing, Vol. 15, No. 5, 01.05.2016, p. 1865-1896.

Research output: Contribution to journalArticle

Matsue, Kaname ; Ogurisu, Osamu ; Segawa, Etsuo. / Quantum walks on simplicial complexes. In: Quantum Information Processing. 2016 ; Vol. 15, No. 5. pp. 1865-1896.
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