Factorizing numbers with the Gauss sum technique
No Thumbnail Available
Date
2007-06-04
Journal Title
Journal ISSN
Volume Title
Publisher
The American Physical Society
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.
Description
Table of contents
Keywords
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.