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

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dc.creatorBigourd, Damien
dc.creatorChatel, Béatrice
dc.creatorSchleich, Wolfgang P.
dc.creatorGirard, Bertrand
dc.date2007-09-12
dc.date2007-11-05
dc.date.accessioned2026-07-07T08:56:15Z
dc.date.available2026-07-07T08:56:15Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0709.1906
dc.identifierhttp://arxiv.org/abs/0709.1906
dc.identifierPhysical Review Letters 100, 03 (2008) 030202
dc.identifierdoi:10.1103/PhysRevLett.100.030202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146546
dc.subjectOptics
dc.titleFactorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses
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