Deutsch's algorithm is the simplest quantum algorithm which shows the acceleration of quantum computer. In this paper, we theoretically advance a scheme to implement quantum Deutsch's algorithm in spin-orbital angular momentum space. Our scheme exploits a newly developed optical device called "q-plate", which can couple and manipulate the spin-orbital angular momentum simultaneously. This experimental setup is of high stability and efficiency theoretically for there is no interferometer in it.
@article{arxiv.1207.5505,
title = {Implementing the Deutsch's algorithm with spin-orbital angular momentum of photon without interferometer},
author = {Pei Zhang and Yan Jiang and Rui-Feng Liu and Hong Gao and Hong-Rong Li and Fu-Li Li},
journal= {arXiv preprint arXiv:1207.5505},
year = {2012}
}