Factorizing Numbers with the Gauss Sum Technique: NMR Implementations

@misc{citeulike:1080832, abstract = {We demonstrate two NMR techniques for factorizing large numbers using the Gauss sum method. 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 16637 and 52882363 are successfully obtained.}, author = {Mahesh, T. S. and Rajendran, Nageswaran and Peng, Xinhua and Suter, Dieter }, citeulike-article-id = {1080832}, eprint = {quant-ph/0701205}, keywords = {factoring, gauss, nmr, sum}, month = {Jan}, posted-at = {2007-01-31 20:51:37}, priority = {0}, title = {Factorizing Numbers with the Gauss Sum Technique: NMR Implementations}, url = {http://arxiv.org/abs/quant-ph/0701205}, year = {2007} }

TY - ELEC ID - citeulike:1080832 L3 - citeulike-article-id:1080832 TI - Factorizing Numbers with the Gauss Sum Technique: NMR Implementations N2 - We demonstrate two NMR techniques for factorizing large numbers using the Gauss sum method. 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 16637 and 52882363 are successfully obtained. KW - factoring KW - gauss KW - nmr KW - sum AU - Mahesh, TS AU - Rajendran, Nageswaran AU - Peng, Xinhua AU - Suter, Dieter PY - 2007/Jan/29/ UR - http://arxiv.org/abs/quant-ph/0701205 ER -