At present

the tradeoff between electronic bandwidth in quantum mode extraction and data processing rate create a bottleneck in real-time generation ratio in such serial-type Quantum Random Number Generator（QRNG） scheme. To solve the problem

we investigate parallel Toeplitz-hashing post-processing of multiple quantum sideband modes within one Field Programmable Gate Array（FPGA）. Logic source occupation for different Toeplitz matrices is analyzed and two-layer parallel pipeline algorithm is delicately designed to fully exploit the advantage of parallel algorithm and hardware source of the FPGA. A simulation is conducted to verify the design. This work finally achieves a real-time random number generation rate about 8.24 Gbit/s. The experimental results show that the entropy source of the quantum random number generator has good randomness. After the post-processing

the coefficient of the autocorrelation function of the random numbers remain in the order of 10

-4

and the random numbers can pass the Diehard test. Matching up with integrated circuit for parallel extraction of multiple quantum sideband modes

our demonstration shows a robust

extensible

high-speed and real-time QRNG

which has the potential for commercialization.