Skip to main content

Research Repository

Advanced Search

Quantum walks and quantum search on graphene lattices

Foulger, Iain; Gnutzmann, Sven; Tanner, Gregor

Authors

Iain Foulger iain.foulger2004@gmail.com

GREGOR TANNER GREGOR.TANNER@NOTTINGHAM.AC.UK
Professor of Applied Mathematics



Abstract

Quantum walks have been very useful in developing search algorithms in quantum information, in particular for devising of spatial search algorithms. However, the construction of continuous-time quantum search algorithms in two-dimensional lattices has proved difficult, requiring additional degrees of freedom. Here, we demonstrate that a continuous-time quantum walk search is possible in two dimensions by changing the search topology to a graphene lattice, utilizing the Dirac point in the energy spectrum. This is made possible by making a change to standard methods of marking a particular site in the lattice. Various ways of marking a site are shown to result in successful search protocols. We further establish that the search can be adapted to transfer probability amplitude across the lattice between specific lattice sites thus establishing a line of communication between these sites.

Journal Article Type Article
Publication Date Jun 18, 2015
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 91
Issue 6
Article Number 062323
APA6 Citation Foulger, I., Gnutzmann, S., & Tanner, G. (2015). Quantum walks and quantum search on graphene lattices. Physical Review A, 91(6), https://doi.org/10.1103/PhysRevA.91.062323
DOI https://doi.org/10.1103/PhysRevA.91.062323
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.062323
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2015 American Physical Society

Files

PhysRevA15-Foulger.pdf (2.3 Mb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





You might also like



Downloadable Citations

;