The phase retrieval problem is a fundamental problem in many fields, which is
appealing for investigation. It is to recover the signal vector
$\tilde{x}\in\mathbb{C}^d$ from a set of $N$ measurements
$b_n=|f^*_n\tilde{x}|^2,\ n=1,\cdots, N$, where $\{f_n\}_{n=1}^N$ forms a frame
of $\m