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arXiv 2201.10530quant-ph
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基于随机对的量子数字签名

Quantum Digital Signatures with Random Pairing

Ji-Qian Qin, Cong Jiang, Yun-Long Yu, Xiang-Bin Wang

摘要:

数字签名可以保证消息的不可伪造性和可传递性。与经典数字签名的安全性依赖于计算复杂度不同,量子数字签名具有信息论安全性。我们提出了一种通用的随机配对QDS方法(RP-QDS),它可以大大提高QDS的效率。在某种程度上,我们的随机配对方法提供了一个收紧的结果的安全级别的量子点。在该方法中,每对的奇偶校验值被用于结果比特值。我们提出了一般公式的分数未标记的位和错误率的结果位。随机配对可以作为提高现有量子密钥分发(QKD)协议QDS效率的基本方法。我们以发送或不发送(SNS)量子点和无侧信道(SCF)量子点为例,通过数值模拟来证明随机配对的优势。随机配对的类似优点也被发现与诱饵状态MDIQKD和诱饵状态BB84协议。我们通过新的优化研究了有限数据量的RP-SNS-QDS。数值仿真结果表明,在噪声信道下,使用随机配对方法可以使签名率提高100%以上。

英文摘要:

Digital signatures can guarantee the unforgeability and transferability of the message. Different from classical digital signatures, whose security depends on computational complexity, quantum digital signatures (QDS) can provide information-theoretic security. We propose a general method of random pairing QDS (RP-QDS), which can drastically improve QDS efficiency. In a way, our random pairing method provide a tightened result of security level of QDS. In the method, the parity value of each pair is used for the outcome bit value. We present general formulas for fraction of untagged bits and error rates of the outcome bits. Random pairing can be applied as a fundamental method to improve the QDS efficiency for all existing quantum key distribution (QKD) protocols. We take sending-or-not-sending (SNS) QDS and side-channel-free (SCF) QDS as examples to demonstrate the advantage of random pairing through numerical simulation. Similar advantage with random pairing is also founded with decoy-state MDIQKD and also decoy-state BB84 protocol. We study the RP-SNS-QDS with finite data size through novel optimization. The numerical simulation results show that the signature rate can be increased by more than 100% under noisy channel using our random pairing method.

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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