• Open Access

Quantum Search on Graphene Lattices

Iain Foulger, Sven Gnutzmann, and Gregor Tanner
Phys. Rev. Lett. 112, 070504 – Published 21 February 2014
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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.

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  • Received 18 April 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.070504

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Authors & Affiliations

Iain Foulger, Sven Gnutzmann, and Gregor Tanner

  • School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

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Issue

Vol. 112, Iss. 7 — 21 February 2014

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