Continuous variable quantum key distribution data error correction method based on fountain codes

Abstract

The invention relates to a continuous variable quantum key distribution data error correction method based on fountain codes. The method comprises the following specific implementation steps: step 1,generating a certain number of binary true random numbers as original code words by a data coordination initiating end, and continuously carrying out fountain code coding on the group of random numbers; step 2, calculating a mapping relation between the coded code word and the original data, and sending the mapping relation to the other end; step 3, after the other end receives the mapping relation, executing the same mapping operation on the original data of the other end, and then obtaining error-corrected data through fountain code decoding; and step 4, if the decoding fails, repeating thestep 2 and the step 3 until the decoding is successful, otherwise, performing the next group of key error correction. Based on the characteristic that fountain codes have no fixed code rate, the difficulty of check matrix construction is reduced, error correction under various signal to noise ratio conditions can be realized, and higher coordination efficiency can be obtained.

Description

technical field [0001] The invention relates to the key technical field of continuous variable quantum key distribution post-processing, and mainly relates to a fountain code-based data error correction method applied to continuous variable quantum key distribution post-processing. This method is especially suitable for the continuous variable quantum key distribution system under the condition of low signal-to-noise ratio, which can obtain high coordination efficiency, and does not need to construct a complex check matrix in the process, thereby reducing the complexity of the post-processing process. Background technique [0002] Information security is an important means to protect personal and property safety. With the development of high-performance computers, especially the possible realization of quantum supremacy in the near future, traditional classical ciphers based on mathematical computational complexity have been greatly challenged. Quantum cryptography is based...

AI Technical Summary

Problems solved by technology

At present, the most widely used post-processing coding and decoding scheme is LDPC coding, which can achieve high coordination efficiency error correction under low SNR, but it must design a check matrix with good performance under a fixed SNR in advance, which is not only complicated High degree, and the performance drops sharply when the signal-to-noise ratio changes slightly, so it is necessary to introduce low-complexity error-correcting codes with high coordination efficiency

[0004] The fountain code itself has the characteristics of no fixed code rate. The code rate of the code before the information transmission is uncertain, and the coded information at the sending end is randomly generated. The receiving end does not know the coding structure at first, and there is no need to design a highly complex calibration code. However, how to effectively apply the fountain code to the actual continuous variable quantum key distribution system without affecting the security of the system is a main problem solved by the present invention. A continuous variable quantum key distribution system based on the fountain code is designed. Key distribution data error correction method

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