Wave packet dynamics and factorization of numbers

Details Wave packet dynamics and factorization of numbers Wave packet dynamics and factorization of numbers

2002-04-08

arxiv.org/abs/quant-ph/0204040v1

Physics

Quantum Physics

Scientific paper

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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