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DOE OSTI · 21537092

Factoring numbers with a single interferogram

Tamma, Vincenzo·Heyi, Zhang·Xuehua, He·Yanhua, Shih·Garuccio, Augusto·INFN-Sezione di Bari, Bari·Schleich, Wolfgang P
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Abstract

We construct an analog computer based on light interference to encode the hyperbolic function f({zeta}){identical_to}1/{zeta} 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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46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSANALOG COMPUTERSCHEMICAL REACTIONSCOMPUTERSDECOMPOSITIONELECTROMAGNETIC RADIATIONFACTORIZATIONINTERFERENCEINTERFEROMETERSMEASURING INSTRUMENTSRADIATIONSVISIBLE RADIATION

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Tamma, Vincenzo, Heyi, Zhang, Xuehua, He, Yanhua, Shih, Garuccio, Augusto, INFN-Sezione di Bari, Bari, Schleich, Wolfgang P. 2011-02-15. Factoring numbers with a single interferogram. https://doi.org/10.1103/physreva.83.020304

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