Abstract
We introduce a new factorization algorithm, based on the analogue determination of the periodicity of a single generalized continuous truncated exponential sum (CTES) interferogram. We demonstrate that this algorithm allows, in principle, to factorize arbitrary numbers exploiting a remarking rescaling property of the recorded CTES interference pattern. Such an interferogram can be realized taking advantage of multi-path optical interference, using a polychromatic light source and a spectrometer. The resulting interference pattern, when observed as a function of wavelength, contains the information about all factors of any arbitrary number N. This information is encoded in the location of the maxima of the interferogram.
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Tamma, V., Zhang, H., He, X., Garuccio, A., Shih, Y. (2010). CTES Factorization Algorithm. In: Sergienko, A., Pascazio, S., Villoresi, P. (eds) Quantum Communication and Quantum Networking. QuantumComm 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11731-2_37
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DOI: https://doi.org/10.1007/978-3-642-11731-2_37
Publisher Name: Springer, Berlin, Heidelberg
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