Quantum computing of delocalization in small-world networks

Details Quantum computing of delocalization in small-world networks Quantum computing of delocalization in small-world networks

2005-03-23

arxiv.org/abs/quant-ph/0503188v1

Phys. Rev. E 72, 036203 (2005)

Physics

Quantum Physics

4 pages, 5 figures, research done at http://www.quantware.ups-tlse.fr/

Scientific paper

10.1103/PhysRevE.72.036203

We study a quantum small-world network with disorder and show that the system exhibits a delocalization transition. A quantum algorithm is built up which simulates the evolution operator of the model in a polynomial number of gates for exponential number of vertices in the network. The total computational gain is shown to depend on the parameters of the network and a larger than quadratic speed-up can be reached. We also investigate the robustness of the algorithm in presence of imperfections.

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