Application of the Generation of Gaussian Random Number in Quantum Cryptography

With the development of the information time, the security of the information system is more and more important. Having well known on the study of the current situation about quantum cryptographic key, Reverse Reconciliation Gaussian-moduled quantum key distributed Protocol (Abr. RR) is concerned in this paper. A design scheme of cryptogram transmission system based on FPGA is presented, which is used to implement the simulation of the Quantum Key Distributed. To simulate the preparation of the secret-key, a Gaussian random number generator in FPGA is designed, which based on the analysis of Ziggurat algorithm. The period length of generated Gaussian random secret-key is longer than 288, and its precision is high (achieve 26 fractional bits). Furthermore, the generated Gaussian random number has passed the normal test. It provides a new method to prove the correction of RR protocol and study of QKD.