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Article Dans Une Revue Physical Review Letters Année : 2015

Experiments on 'quantum' search and directed transport in microwave artificial graphene

Résumé

A series of quantum search algorithms has been proposed recently providing an algebraic speed-up compared to classical search algorithms from N to N where N is the number of items in the search space. In particular, devising searches on regular lattices have become popular extending Grover's original algorithm to spatial searching. Working in a tight-binding setup, it could be demonstrated theoretically, that a search is possible in the physically relevant dimensions 2 and 3 if the lattice spectrum possess Dirac points. We present here a proof of principle experiment implementing wave search algorithms and directed wave transport in a graphene lattice arrangement. The idea is based on bringing localized search states in resonance with an extended lattice state in an energy region of low spectral density - namely at or near the Dirac point. The experiment is implemented using classical waves in a microwave setup containing weakly coupled dielectric resonators placed in a honeycomb arrangement, i.e. artificial graphene. We furthermore investigate the scaling behavior experimentally using linear chains.
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Dates et versions

hal-01070322 , version 1 (01-10-2014)

Identifiants

  • HAL Id : hal-01070322 , version 1

Citer

Julian Böhm, Matthieu Bellec, Fabrice Mortessagne, Ulrich Kuhl, Sonja Barkhofen, et al.. Experiments on 'quantum' search and directed transport in microwave artificial graphene. Physical Review Letters, 2015, 114, pp.110501. ⟨hal-01070322⟩
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