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arXiv · 1312.3852

Quantum search on graphene lattices

Iain Foulger·Sven Gnutzmann·Gregor Tanner
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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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Iain Foulger, Sven Gnutzmann, Gregor Tanner. 2013-12-13. Quantum search on graphene lattices. https://doi.org/10.1103/physrevlett.112.070504

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