Quantum search on graphene lattices

Foulger, Ian and Gnutzmann, Sven and Tanner, Gregor (2014) Quantum search on graphene lattices. Physical Review Letters, 112 . 070504/1-070504/5. ISSN 1079-7114

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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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1103/PhysRevLett.112.070504
Depositing User: Tanner, Prof Gregor
Date Deposited: 27 Sep 2017 11:53
Last Modified: 26 Jun 2018 12:42
URI: http://eprints.nottingham.ac.uk/id/eprint/46600

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