arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2301.08686quant-ph
收藏

离散调制连续变量量子密钥分发协议的有限尺寸安全性

Finite-Size Security for Discrete-Modulated Continuous-Variable Quantum Key Distribution Protocols

Florian Kanitschar, Ian George, Jie Lin, Twesh Upadhyaya, Norbert Lütkenhaus

AI总结:

针对离散调制连续变量量子密钥分发协议,提出可组合有限尺寸安全性证明,引入能量测试定理并数值计算安全密钥率,在72公里内实现实验可行条件下的安全密钥分发。

摘要:

离散调制(DM)连续变量量子密钥分发(CV-QKD)协议因其实验简单性,是量子通信网络商业实现的有前景的候选方案。虽然渐近极限下的严格安全性分析已经存在,但有限尺寸范围内的证明仍是活跃的研究课题。我们针对一般的DM CV-QKD协议,提出了一种针对独立同分布集体攻击的可组合有限尺寸安全性证明。我们引入了一个新的能量测试定理来界定Bob系统的有效维度,并在Renner的ε-安全性框架内严格证明安全性,同时处理了协议中接受集及其安全性证明的问题。我们要强调,我们的方法还允许非唯一的接受统计,这在实践中是必要的。最后,我们扩展并应用了一种数值安全性证明技术,以计算安全密钥率的紧致下界。为了演示我们的方法,我们将其应用于正交相移键控协议,分别针对不可信、理想和可信的非理想探测器。结果表明,我们的安全性证明方法在实验可行的条件下,至少能在72公里的传输距离内产生有限尺寸的安全密钥率。

英文摘要:

Discrete-Modulated (DM) Continuous-Variable Quantum Key Distribution (CV-QKD) protocols are promising candidates for commercial implementations of quantum communication networks due to their experimental simplicity. While tight security analyses in the asymptotic limit exist, proofs in the finite-size regime are still subject to active research. We present a composable finite-size security proof against independently and identically distributed collective attacks for a general DM CV-QKD protocol. We introduce a new energy testing theorem to bound the effective dimension of Bob's system and rigorously prove security within Renner's epsilon-security framework and address the issue of acceptance sets in protocols and their security proof. We want to highlight, that our method also allows for nonunique acceptance statistics, which is necessary in practise. Finally, we extend and apply a numerical security proof technique to calculate tight lower bounds on the secure key rate. To demonstrate our method, we apply it to a quadrature phase-shift keying protocol, both for untrusted, ideal and trusted nonideal detectors. The results show that our security proof method yields secure finite-size key rates under experimentally viable conditions up to at least 72km transmission distance.

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。

↑