paper

Grover's quantum searching algorithm is optimal

arXiv:quant-ph/9711070 · doi:10.1103/PhysRevA.60.2746

Abstract

I improve the tight bound on quantum searching by Boyer et al. (quant-ph/9605034) to a matching bound, thus showing that for any probability of success Grovers quantum searching algorithm is optimal. E.g. for near certain success we have to query the oracle pi/4 sqrt{N} times, where N is the size of the search space. I also show that unfortunately quantum searching cannot be parallelized better than by assigning different parts of the search space to independent quantum computers. Earlier results left open the possibility of a more efficient parallelization.

13 pages, LaTeX, essentially published version

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