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arXiv 1109.2675quant-ph
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迹距准则在量子密钥分发中的安全意义

Security Significance of the Trace Distance Criterion in Quantum Key Distribution

Horace P. Yuen

摘要:

分析了迹距离安全准则$d$的安全意义,即在密钥生成过程中以及在已知明文攻击下,密钥用于一次性密码本数据加密时,攻击者成功识别所生成密钥的不同子集的操作概率。指出了Eve序列误码率与比特误码率的区别。通过反例说明了文献中所主张的强安全性是不正确的。除了可以在比$d$本身差得多的水平d^{1/3}和d^{1/4}处量化的整个密钥错误率之外,如果可能的话,攻击者在估计密钥的各个子集和在已知明文攻击中的成功概率还有待于从$d$量化。它是在现实的具体协议的数值例子表明,严重违反安全还不能排除。

英文摘要:

The security significance of the trace distance security criterion $d$ is analyzed in terms of operational probabilities of an attacker's success in identifying different subsets of the generated key, both during the key generation process and when the key is used in one-time pad data encryption under known-plaintext attacks. The difference between Eve's sequence error rate and bit error rate is brought out. It is shown with counter-examples that the strong security claim maintained in the literature is incorrect. Other than the whole key error rates that can be quantified at the levels d^{1/3} and d^{1/4} which are much worse than $d$ itself, the attacker's success probabilities in estimating various subsets of the key and in known-plaintext attacks are yet to be quantified from $d$ if possible. It is demonstrated in realistic numerical examples of concrete protocols that drastic breach of security cannot yet be ruled out.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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