Quantum random number generators based on laser phase noise provide access to truly unpredictable sequences, but the speed and implementation complexity have posed significant challenges, particularly for chip-scale integration. To address these limitations, this work introduces a general physical model based on the Wiener process to clearly explain the performance bottleneck for such a scheme and presents a simple filtering method to significantly boost the bandwidth of the quantum entropy source, achieving an ultra-fast generation rate of 156 Gbps.