  We study the recovery conditions of weighted $\ell_1$ minimization for
real-valued signal reconstruction from phaseless compressive sensing
measurements when partial support information is available. A strong restricted
isometry property condition is provided to ensure the stable recovery.
Moreover, we present the weighted null space property as the sufficient and
necessary condition for the success of $k$-sparse phaseless recovery via
weighted $\ell_1$ minimization. Numerical experiments are conducted to
illustrate our results.
