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I improve the tight bound on quantum searching by Boyer et al.(quant-ph/9605034) to a matching bound, thus showing that for any probabilityof success Grovers quantum searching algorithm is optimal. E.g. for nearcertain success we have to query the oracle pi/4 sqrt{N} times, where N is thesize of the search space. I also show that unfortunately quantum searchingcannot be parallelized better than by assigning different parts of the searchspace to independent quantum computers. Earlier results left open thepossibility of a more efficient parallelization.Comment: 13 pages, LaTeX, essentially published versio

Grover’s quantum searching algorithm is optimal