English

Grover's quantum searching algorithm is optimal

Quantum Physics 2009-10-30 v2

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.

Keywords

Cite

@article{arxiv.quant-ph/9711070,
  title  = {Grover's quantum searching algorithm is optimal},
  author = {Christof Zalka},
  journal= {arXiv preprint arXiv:quant-ph/9711070},
  year   = {2009}
}

Comments

13 pages, LaTeX, essentially published version