Wave-particle duality

Today I (also) have some musings on the wave-particle duality for you, and its effect on factorization.
Clearly there is a mapping (according to QT), from the wave-to-particle domains, or very equivalently, the time-to-space domains.
As integers get larger, the required precision to express that integer increases - leading to a more efficient representation/manipulation in the wave domain, rather than the particle. Hence FFT-methods for eg Large-integer-multiplication (more on that some other time hopefully).
Note that a so-called quantum computer, would also be operating naturally largely in the wave-domain.
This leads me to the suggestion, that maybe a QC would operate best on native representations of FFTs...