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Wave packet dynamics and factorization of numbers

Holger Mack·Marc Bienert·Florian Haug·Frank S. Straub·Matthias Freyberger·Wolfgang P. Schleich
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Abstract

We connect three phenomena of wave packet dynamics: Talbot images, revivals of a particle in a box and fractional revivals. The physical origin of these effects is deeply rooted in phase factors which are quadratic in the quantum number. We show that the characteristic structures in the time evolution of these systems allow us to factorize large integers.

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Holger Mack, Marc Bienert, Florian Haug, Frank S. Straub, Matthias Freyberger, Wolfgang P. Schleich. 2002-04-08. Wave packet dynamics and factorization of numbers. https://arxiv.org/abs/quant-ph/0204040

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