English

A nearly optimal discrete query quantum algorithm for evaluating NAND formulas

Quantum Physics 2007-05-23 v1

Abstract

We present an O(\sqrt{N}) discrete query quantum algorithm for evaluating balanced binary NAND formulas and an O(N^{{1/2}+O(\frac{1}{\sqrt{\log N}})}) discrete query quantum algorithm for evaluating arbitrary binary NAND formulas.

Keywords

Cite

@article{arxiv.0704.3628,
  title  = {A nearly optimal discrete query quantum algorithm for evaluating NAND formulas},
  author = {Andris Ambainis},
  journal= {arXiv preprint arXiv:0704.3628},
  year   = {2007}
}
R2 v1 2026-06-21T08:22:49.182Z