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Quantum search on graphene lattices

Foulger, Ian; Gnutzmann, Sven; Tanner, Gregor

Authors

Ian Foulger

Sven Gnutzmann sven.gnutzmann@nottingham.ac.uk

Gregor Tanner gregor.tanner@nottingham.ac.uk



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.

Journal Article Type Article
Publication Date Feb 21, 2014
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
APA6 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
DOI https://doi.org/10.1103/PhysRevLett.112.070504
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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