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.
- Received 18 April 2013
DOI:https://doi.org/10.1103/PhysRevLett.112.070504
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Published by the American Physical Society