Exponential Sums Algorithm based on Optical Interference: Factorization of arbitrary large numbers in a single run

Details Exponential Sums Algorithm based on Optical Interference: Factorization of arbitrary large numbers in a single run Exponential Sums Algorithm based on Optical Interference: Factorization of arbitrary large numbers in a single run

2008-11-10

arxiv.org/abs/0811.1595v1

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

This article presents a new factorization algorithm based on the implementation of exponential sums using optical interference and exploiting the spectrum of the light source. Such a goal is achievable with the use of two different kinds of optical interferometers with variable optical paths: a liquid crystal grating and a generalized symmetric Michelson interferometer. This algorithm allows, for the first time, to find, in a single run, all the factors of an arbitrary large number N.

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