Factorization of numbers with Gauss sums: II. Suggestions for implementations with chirped laser pulses
Quantum Physics
2012-10-25 v1
Abstract
We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series: (i) a two-photon transition in a multi-level ladder system induced by a chirped laser pulse, (ii) a chirped one-photon transition in a two-level atom with a periodically modulated excited state, and (iii) a linearly chirped one-photon transition driven by a sequence of ultrashort pulses. For each of these quantum systems we show that the excitation probability amplitude is given by an appropriate Gauss sum. We provide rules how to encode the number N to be factored in our system and how to identify the factors of N in the fluorescence signal of the excited state.
Keywords
Cite
@article{arxiv.1210.6487,
title = {Factorization of numbers with Gauss sums: II. Suggestions for implementations with chirped laser pulses},
author = {W. Merkel and S. Wölk and W. P. Schleich and I. Sh. Averbukh and B. Girard and G. G. Paulus},
journal= {arXiv preprint arXiv:1210.6487},
year = {2012}
}
Comments
22 pages, 7 figures