量子纠错码在安全性证明中的应用研究

Application Analysis of Quantum Error Correcting-Codes in Security Proving

针对BB84协议,简要介绍3类量子密码安全性证明方法,深入研究了基于纠缠提纯和基于量子CSS码的安全性证明方法。重点分析量子纠错码在Lo-Chau和Shor-Preskill两类代表性方案中的应用,同时研究了两类等价性:单向纠缠提纯和量子纠错以及纠相位错和去窃听者纠缠。通过举例具体分析并实现了量子纠错码在安全性证明中的作用,验证了基于纠缠的量子密钥分配协议与标准BB84协议安全性分析之间的等价性,证明了纠比特错和纠相位错的可分离性,充分体现了量子纠错码在安全性证明中的重要作用。

Based on BB84 protocols,three classes of security proving for quantum cryptography are briefly introduced,and a deep research on security proving methods is provided based upon entanglement purification and quantum CSS code. The research mainly analyzes the application of quantum error correcting-codes in two representative schemes called Lo-Chau and Shor-Preskill protocol.Meanwhile,it investigates two classes of equivalence,one is the one-way entanglement purification and quantum error correction,the other is the phase error correction and removing of listener-in entanglement. Through concrete examples,it analyzes and implements the function of quantum error correcting-codes in security proving,validates the equivalence between quantum key distribution protocols based on entanglement and standard BB84 protocols,and testifies the separability between bit error correction and phase error correction,which shows the great importance of quantum error correcting-codes in security proving.