Two bounds on the minimal time of dynamic rotating an initial state by arbitrary angle have been obtained. These bounds have been applied to study the evolutions in the Hadamard-Walsch gate, the Control-NOT quantum gate, and the Grover algorithm.
@article{arxiv.1007.1488,
title = {The minimal time of dynamic evolution to an arbitrary state},
author = {Di Lv and Yan-Song Li and Gui Lu Long},
journal= {arXiv preprint arXiv:1007.1488},
year = {2010}
}