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A Hierarchical Sorting Oracle


Abstract Classical tree search algorithms mimic the problem solving capabilities traditionally performed by humans. In this work we propose a unitary operator, based on the principles of reversible computation, focusing on hierarchical tree search concepts for sorting purposes. These concepts are then extended in order to build a quantum oracle which, combined with Grover’s quantum algorithm, can be employed as a quantum hierarchical search mechanism whilst taking advantage of a quadratic speedup. Finally, we show how the developed model can be extended in order to perform a N-level depth-limited search.
Year 2011
Keywords quantum search; tree search; artificial intelligence;Miscellaneous;
Authors Luis Tarrataca, Andreas Wichert
Volume 7052
Pages 172-181
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@article { tarrataca11, abstract = {Classical tree search algorithms mimic the problem solving capabilities traditionally performed by humans. In this work we propose a unitary operator, based on the principles of reversible computation, focusing on hierarchical tree search concepts for sorting purposes. These concepts are then extended in order to build a quantum oracle which, combined with Grover’s quantum algorithm, can be employed as a quantum hierarchical search mechanism whilst taking advantage of a quadratic speedup. Finally, we show how the developed model can be extended in order to perform a N-level depth-limited search.}, keywords = {quantum search; tree search; artificial intelligence;Miscellaneous;}, pages = {172-181}, title = {A Hierarchical Sorting Oracle}, volume = {7052}, year = {2011}, author = {Luis Tarrataca and Andreas Wichert} }

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