English

Classical search algorithm with resonances in $\sqrt{N}$ cycles

Quantum Physics 2009-11-13 v1

Abstract

In this work we use the wave equation to obtain a classical analog of the quantum search algorithm and we verify that the essence of search algorithms resides in the establishment of resonances between the initial and the serched states. In particular we show that, within a set of NN vibration modes, it is possible to excite the searched mode in a number of steps proportional to N\sqrt N.

Keywords

Cite

@article{arxiv.quant-ph/0608019,
  title  = {Classical search algorithm with resonances in $\sqrt{N}$ cycles},
  author = {A. Romanelli and R. Donangelo},
  journal= {arXiv preprint arXiv:quant-ph/0608019},
  year   = {2009}
}