\documentclass{article}
\usepackage{Vaucanson-g}

\begin{document}
\LargeState

\begin{VCPicture}{(0,-2)(6,2)}
    \State[1]{(0,0)}{one}
    \State[2]{(4,0)}{two}
    \LArcL[0.5]{one}{two}{\alpha}
    \LArcL[0.5]{two}{one}{\beta}
    \LoopN{one}{1-\alpha}
    \LoopN[0.8]{two}{1-\beta}
\end{VCPicture}

\end{document}
