量子LDPC码在量子密钥分配中的应用  

Application of quantum LDPC codes to quantum key distribution

作　　者：肖鹤玲[1] 蔡宁[1] 王骁[1] 

机构地区：[1]西安电子科技大学综合业务网理论及关键技术国家重点实验室,陕西西安710071

出　　处：《西安电子科技大学学报》2012年第2期8-11,23,共5页Journal of Xidian University

基　　金：国家自然科学基金资助项目(60832001);国家重点实验室资助项目(ISN01080202)

摘　　要：首先将BB84密钥分配协议等价成一个特殊的Wire-tap信道模型,即主信道是比特翻转率为0.25ε的二进制对称信道,窃听信道是删除概率为(1-ε)的二进制删除信道;然后利用量子LDPC码CSS(C1,C2)的编码方法和性质实现BB84协议下的Wire-tap信道的安全通信,同时证明了BB84协议的安全性;最后,通过计算该特殊的Wire-tap信道的安全容量,得到了基于量子LDPC码的BB84协议的可容忍误码率.In this paper,the security of BB84 key distribution protocol is considered.We assume that in the protocol the eavesdropper Eve intercepts/resends photons transmitted between Alice and Bob with probability ε.First,the BB84 key distribution protocol will be made equivalent to a special Wire-tap channel model,where the main channel is a binary symmetric channel with probability of flipping bits 0.25ε and the eavesdropper＇s channel is a binary erasure channel with probability of erasure 1-ε.Using the coding method and properties of quantum LDPC codes CSS（C1,C2） for secure communication across the Wire-tap channel in the BB84 protocol is an equivalent proof of the security of BB84 protocol.Finally,the tolerable error rate of the BB84 protocol based on quantum LDPC codes can be obtained by calculating the secrecy capacity of this special Wire-tap channel.

关 键 词：信息安全 量子密钥分配协议 量子LDPC码 Wire-tap信道 

分 类 号：TN918[电子电信—通信与信息系统]