  We consider the ground state of the quantum Ising model with transverse field
$h$ in one dimension in a finite volume \[
\Lambda{_{m}:=\{-m,-m+1,\ldots,m+L\}\ .}% \] For $h$ sufficiently large we
prove a bound for the entanglement of the interval $\Lambda_{0}:=\left\{
0,..,L\right\} $ relative to its complement $\Lambda_{m}\backslash\Lambda_{0}$
which is uniform in $m$ and $L$. The bound is established by means of a
suitable cluster expansion.
