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arXiv · 1506.02907

Factoring numbers with a single interferogram

Vincenzo Tamma·Heyi Zhang·Xuehua He·Augusto Garuccio·Wolfgang P. Schleich·Yanhua Shih
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Abstract

We construct an analog computer based on light interference to encode the hyperbolic function f(ζ) = 1/ζ into a sequence of skewed curlicue functions. The resulting interferogram when scaled appropriately allows us to find the prime number decompositions of integers. We implement this idea exploiting polychromatic optical interference in a multipath interferometer and factor seven-digit numbers. We give an estimate for the largest number that can be factored by this scheme.

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Vincenzo Tamma, Heyi Zhang, Xuehua He, Augusto Garuccio, Wolfgang P. Schleich, Yanhua Shih. 2015-06-09. Factoring numbers with a single interferogram. https://doi.org/10.1103/physreva.83.020304

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