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Phys Rev Lett. 2008 Jan 25;100(3):030201. doi: 10.1103/PhysRevLett.100.030201. Epub 2008 Jan 24.

Gauss sum factorization with cold atoms.

Physical review letters

M Gilowski, T Wendrich, T Müller, Ch Jentsch, W Ertmer, E M Rasel, W P Schleich

Affiliations

  1. Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, Hannover, Germany.

PMID: 18232946 DOI: 10.1103/PhysRevLett.100.030201

Abstract

We report the first implementation of a Gauss sum factorization algorithm by an internal state Ramsey interferometer using cold atoms. A sequence of appropriately designed light pulses interacts with an ensemble of cold rubidium atoms. The final population in the involved atomic levels determines a Gauss sum. With this technique we factor the number N=263193.

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