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Quantum search on graphene lattices

Foulger, Ian; Gnutzmann, Sven; Tanner, Gregor

Authors

Ian Foulger

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GREGOR TANNER gregor.tanner@nottingham.ac.uk
Professor of Applied Mathematics



Abstract

We present a continuous-time quantum search algorithm on a graphene lattice. This provides the sought- after implementation of an efficient continuous-time quantum search on a two-dimensional lattice. The search uses the linearity of the dispersion relation near the Dirac point and can find a marked site on a graphene lattice faster than the corresponding classical search. The algorithm can also be used for state transfer and communication.

Citation

Foulger, I., Gnutzmann, S., & Tanner, G. (2014). Quantum search on graphene lattices. Physical Review Letters, 112, https://doi.org/10.1103/PhysRevLett.112.070504

Journal Article Type Article
Acceptance Date Feb 21, 2014
Publication Date Feb 21, 2014
Deposit Date Sep 27, 2017
Publicly Available Date Sep 27, 2017
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 112
Article Number 070504
DOI https://doi.org/10.1103/PhysRevLett.112.070504
Public URL http://eprints.nottingham.ac.uk/id/eprint/46600
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.070504
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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