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arXiv · 1205.0529

Quantum Search Algorithms on Hierarchical Networks

F. L. Marquezino·R. Portugal·S. Boettcher
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Abstract

The "abstract search algorithm" is a well known quantum method to find a marked vertex in a graph. It has been applied with success to searching algorithms for the hypercube and the two-dimensional grid. In this work we provide an example for which that method fails to provide the best algorithm in terms of time complexity. We analyze search algorithms in degree-3 hierarchical networks using quantum walks driven by non-groverian coins. Our conclusions are based on numerical simulations, but the hierarchical structures of the graphs seems to allow analytical results.

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BibTeXRIS

F. L. Marquezino, R. Portugal, S. Boettcher. 2012-05-02. Quantum Search Algorithms on Hierarchical Networks. https://doi.org/10.1109/itw.2011.6089429

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