A novel SO(3) picture for quantum searching
Quantum Physics
2007-05-23 v1
Abstract
An SO(3) picture of the generalized Grover's quantum searching algorithm,with arbitrary unitary transformation and with arbitrary phase rotations, is constructed. In this picture, any quantum search operation is a rotation in a 3 dimensional space. Exact formulas for the rotation angle and rotational axis are given. The probability of finding the marked state is just , where z is the z-component of the state vector. Exact formulas for this probability is easily obtained. The phase matching requirement and the failure of algorithm when phase mismatches are clearly explained.
Cite
@article{arxiv.quant-ph/9911004,
title = {A novel SO(3) picture for quantum searching},
author = {Gui Lu Long and Chang Cun Tu and Yan Song Li and Wei Lin Zhang and Hai Yang Yan},
journal= {arXiv preprint arXiv:quant-ph/9911004},
year = {2007}
}
Comments
6 pages, 2 eps figures