\documentclass[varwidth=true, border=0pt]{standalone}
% Source: http://tex.stackexchange.com/a/15278/5645

\usepackage{chessboard}
\storechessboardstyle{4x4}{maxfield=d4}

\begin{document}
% showmover shows which player is to move
\chessboard[style=4x4, setwhite={Qa1,Qd2}, showmover=false]
\end{document}