We isolate and generalize a technique implicit in many quantum algorithms, including Shor's algorithms for factoring and discrete log. In particular, we show that the distribution sampled after a Fourier transform over Zp can be efficiently approximated by transforming over Zq for any q in a large range. Our result places no restrictions on the superposition to be transformed, generalizing previous applications. In addition, our proof easily generalizes to multi-dimensional transforms for any constant number of dimensions.
|Original language||English (US)|
|Number of pages||9|
|Journal||Conference Proceedings of the Annual ACM Symposium on Theory of Computing|
|State||Published - Jan 1 1999|
|Event||Proceedings of the 1999 31st Annual ACM Symposium on Theory of Computing - FCRC '99 - Atlanta, GA, USA|
Duration: May 1 1999 → May 4 1999
All Science Journal Classification (ASJC) codes