\documentclass[border=2pt]{standalone}

\usepackage[dvipsnames]{xcolor}
\input{kvmacros}

\usepackage{tikz}
\usetikzlibrary{calc}%
\newcommand{\tikzmark}[1]{%
    \tikz[overlay, remember picture, baseline] \node (#1) {};%
}

\newcommand{\DrawArrow}[3][]{%
    \begin{tikzpicture}[overlay,remember picture]
        \draw[
                ->, thick,% distance=\ArcDistance,
                %shorten <=\ShortenBegin, shorten >=\ShortenEnd,
                %out=\OutAngle, in=\InAngle, Arrow Style, #2
                #1
            ] 
                ($(#2)+(-0.50em,3.5ex)$) to 
                ($(#3)+(1.5em,0.0ex)$);
    \end{tikzpicture}% <-- important
}

\begin{document}
    \karnaughmap{4}{$f(w,x,y,z)$}{{$w$}{$x$}{$y$}{$z$}}%
    {
        1100
        1100
        0011
        0101
    }
    {
        \textcolor{Blue}{
            \put(2,3.5){\oval(3.9,0.9)[]}
        }
        \textcolor{WildStrawberry}{
            \put(0.9,3.5){\oval(1.7,0.8)[]}
        }
        \textcolor{Green}{
            \put(0.7,1.5){\tikzmark{11}\oval(1.9,0.9)}
        }
        \textcolor{Sepia}{
            \put(1.5,1.5){\oval(1.6,0.7)}
        }
        \textcolor{Red}{
            \put(1.92,1){\oval(0.9,1.9)}
        }
        \textcolor{LimeGreen}{
            \put(1.76,-0.2){\tikzmark{13}\oval(0.9,2.1)[t]}
            \put(1.76,4.2){\oval(0.9,2.1)[b]}
        }
    }
\DrawArrow[red, ultra thick, out=-180, in=-90, distance=1.5em, shorten >= -4.5ex]{13}{11}
\end{document}
