Influence of superpositional wave function oscillations on Shor's quantum algorithm

We investigate the influence of superpositional wave function oscillations on the performance of Shor's quantum algorithm for factorization of integers. It is shown that wave function oscillations can modify the required quantum interference. This undesirable effect can be routinely eliminated using a resonant pulse implementation of quantum computation, but requires special analysis for nonresonant implementations. We also discuss the influence of this effect on implementation of other quantum algorithms.