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

\begin{document}
\LargeState

\begin{VCPicture}{(0,-2)(10,2)}
    \State[1]{(0,0)}{one}
    \State[2]{(4,0)}{two}
    \State[3]{(8,0)}{three}
    
    \ArcL[0.5]{one}{two}{A_{12}}
    \ArcL[0.5]{two}{three}{A_{23}}
    
    \LoopN[0.5]{one}{A_{11}}
    \LoopN[0.5]{two}{A_{22}}
    \LoopN[0.5]{three}{A_{33}}
\end{VCPicture}

\end{document}