Authors: Suter, Dieter
Mahesh, T. S.
Rajendran, Nageswaran
Peng, Xinhua
Title: Factorizing numbers with the Gauss sum technique
Other Titles: NMR implementations
Language (ISO): en
Abstract: Several physics-based algorithms for factorizing large numbers were recently presented. A notable recent algorthm by Schleich et al. uses Gauss sums for distinguishing between factors and nonfactors. We demonstrate two NMR techniques that evaluate Gauss sums and thus implement their algorithm. The first one is based on differential excitation of a single spin magnetization by a cascade of rf pulses. The second method is based on spatial averaging and selective refocusing of magnetization for Gauss sums corresponding to factors. All factors of 16 637 and 52 882 363 are successfully obtained.
URI: http://hdl.handle.net/2003/25402
http://dx.doi.org/10.17877/DE290R-3047
Publishers Link: http://e3.physik.tu-dortmund.de/~suter/eprints/Gauss_sum_factorization.pdf
Issue Date: 2007-06-04
Rights: ©2007 The American Physical Society
Publisher: The American Physical Society
URL: http://dx.doi.org/10.1103/PhysRevA.75.062303
Citation: Mahesh, T. S.; Rajendran, N.; Peng, X.; Suter, D.: Factorizing numbers with the Gauß sum technique : NMR implementations. In: Physical Review A Jg. 75(2007), 062303.
Appears in Collections:Suter, Dieter Prof. Dr.

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