Factorization in a single run with an optical interferometer

Vincenzo Tamma, Heyi Zhang, Xuehua He, Augusto Garuccio, Yanhua Shih

Research output: Contribution to conferenceOtherpeer-review


We will describe a new factorization algorithm based on the reproduction of continuous exponential sums, using the interference pattern produced by polychromatic light interacting with an interferometer with variable optical paths. We will describe two possible interferometers: a generalized symmetric Michelson interferometer and a liquid crystal grating. Such an algorithm allows, for the first time, to find all the factors of a number N in a single run without precalculating the ratio N/l, where l are all the possible trial factors. It also allows to solve the problem of ghost factors and to factorize different numbers using the same output interference pattern.
Original languageEnglish
Publication statusPublished - 20 Aug 2009
Externally publishedYes
EventQuantum Communications and Quantum Imaging VII - San Diego, United States
Duration: 2 Aug 2009 → …


ConferenceQuantum Communications and Quantum Imaging VII
Country/TerritoryUnited States
CitySan Diego
Period2/08/09 → …


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