Tight finite-key analysis for quantum cryptography.

Tight finite-key analysis for quantum cryptography.
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DOI:
10.1038/ncomms1631
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发表时间:
2012-01-17
影响因子:
16.6
通讯作者:
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中科院分区:
综合性期刊1区
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尽管量子密码学在理论和实验方面取得了巨大的进展,但目前大多数量子密钥分发实现的安全性仍然没有得到严格的建立。一个重要的问题是,最终密钥的安全性很大程度上取决于合法各方之间交换的信号的数量M。然而,现有的安全证明往往只是渐近有效的,对于不切实际的大m值。另一个挑战是,大多数安全证明对协议使用的物理设备和用于描述它们的理论模型之间的微小差异非常敏感。在这里,我们表明,这些理论和实验之间的差距可以同时克服使用基于光滑熵的不确定性关系的最新开发的证明技术。虽然它们提供了重要的承诺,但量子密钥分发的实际实现通常不像理论预测的那样严格。本研究展示了如何利用不确定性原理的熵变公式来解决这种差异的两个实例。
Despite enormous theoretical and experimental progress in quantum cryptography, the security of most current implementations of quantum key distribution is still not rigorously established. One significant problem is that the security of the final key strongly depends on the number, M, of signals exchanged between the legitimate parties. Yet, existing security proofs are often only valid asymptotically, for unrealistically large values of M. Another challenge is that most security proofs are very sensitive to small differences between the physical devices used by the protocol and the theoretical model used to describe them. Here we show that these gaps between theory and experiment can be simultaneously overcome by using a recently developed proof technique based on the uncertainty relation for smooth entropies. Although they offer significant promise, practical implementations of quantum key distribution are often not as rigorous as theory predicts. This study demonstrates how two instances of such discrepancies can be resolved by taking advantage of an enotropic formulation of the uncertainty principle.
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