English

A note on quantum black-box complexity of almost all Boolean functions

Quantum Physics 2007-05-23 v1 Computational Complexity

Abstract

We show that, for almost all N-variable Boolean functions f, at least N/4-O(\sqrt{N} log N) queries are required to compute f in quantum black-box model with bounded error.

Cite

@article{arxiv.quant-ph/9811080,
  title  = {A note on quantum black-box complexity of almost all Boolean functions},
  author = {Andris Ambainis},
  journal= {arXiv preprint arXiv:quant-ph/9811080},
  year   = {2007}
}

Comments

4 pages, LaTeX