Skip to main content

Research Repository

Advanced Search

Microwave experiments simulating quantum search and directed transport in artificial graphene

B�hm, Julian; Bellec, Matthieu; Mortessagne, Fabrice; Kuhl, Ulrich; Barkhofen, Sonja; Gehler, Stefan; St�ckmann, Hans-J�rgen; Foulger, Iain; Gnutzmann, Sven; Tanner, Gregor

Microwave experiments simulating quantum search and directed transport in artificial graphene Thumbnail


Authors

Julian B�hm

Matthieu Bellec

Fabrice Mortessagne

Ulrich Kuhl

Sonja Barkhofen

Stefan Gehler

Hans-J�rgen St�ckmann

Iain Foulger

Profile image of GREGOR TANNER

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



Abstract

A series of quantum search algorithms have been proposed recently providing an algebraic speedup compared to classical search algorithms from N to \sqrt{N}, where N is the number of items in the search space. In particular, devising searches on regular lattices has become popular in extending Grover’s original algorithm to spatial searching. Working in a tight-binding setup, it could be demonstrated, theoretically, that a search is possible in the physically relevant dimensions 2 and 3 if the lattice spectrum possesses Dirac points. We present here a proof of principle experiment implementing wave search algorithms and directed wave transport in a graphene lattice arrangement. The idea is based on bringing localized search states into resonance with an extended lattice state in an energy region of low spectral density—namely, at or near the Dirac point. The experiment is implemented using classical waves in a microwave setup containing weakly coupled dielectric resonators placed in a honeycomb arrangement, i.e., artificial graphene. Furthermore, we investigate the scaling behavior experimentally using linear chains.

Citation

Böhm, J., Bellec, M., Mortessagne, F., Kuhl, U., Barkhofen, S., Gehler, S., …Tanner, G. (2015). Microwave experiments simulating quantum search and directed transport in artificial graphene. Physical Review Letters, 114(11), Article 110501. https://doi.org/10.1103/PhysRevLett.114.110501

Journal Article Type Article
Acceptance Date Sep 8, 2014
Publication Date Mar 17, 2015
Deposit Date Sep 25, 2017
Publicly Available Date Sep 25, 2017
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 114
Issue 11
Article Number 110501
DOI https://doi.org/10.1103/PhysRevLett.114.110501
Public URL https://nottingham-repository.worktribe.com/output/747462
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.110501
Additional Information ©2015 American Physical Society.
Contract Date Sep 25, 2017

Files





You might also like



Downloadable Citations