Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses

Details Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses

2007-09-12

arxiv.org/abs/0709.1906v2

Physical Review Letters 100, 03 (2008) 030202

Physics

Optics

Scientific paper

10.1103/PhysRevLett.100.030202

We report on the successful operation of an analogue computer designed to factor numbers. Our device relies solely on the interference of classical light and brings together the field of ultrashort laser pulses with number theory. Indeed, the frequency component of the electric field corresponding to a sequence of appropriately shaped femtosecond pulses is determined by a Gauss sum which allows us to find the factors of a number.

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