Quantum search on graphene lattices
Quantum Physics
2015-06-18 v1 Other Condensed Matter
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.
Keywords
Cite
@article{arxiv.1312.3852,
title = {Quantum search on graphene lattices},
author = {Iain Foulger and Sven Gnutzmann and Gregor Tanner},
journal= {arXiv preprint arXiv:1312.3852},
year = {2015}
}
Comments
8 pages including supplement