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This research refines privacy amplification bounds for quantum key distribution, enabling the extraction of higher secret key rates from finite datasets without altering existing protocols. By leveraging sharper mathematical estimates via the leftover hash lemma, the study directly enhances the efficiency of quantum communication systems in practical, non-asymptotic regimes. The work represents a significant theoretical advancement that maximizes usable output from current experimental data.
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Making the most of leftovers: Improved privacy amplification for quantum key distribution

arXiv2 min read

arXiv:2609.38306v1 Announce Type: new Abstract: The amount of secret key that can be obtained from a quantum key distribution run depends on both the physically observed error rates and the mathematical bounds used to certify security. For finite datasets, conservative bounds force users to discard a substantial fraction of the potentially available key. Here we further refine and extend the privacy amplification bounds achievable through the recent leftover hash lemma of Regula and Tomamichel [arXiv:2603.04493] and incorporate them into the security analysis of quantum key distribution based on entropic uncertainty relations. This improves on state-of-the-art key rates in finite-block regimes, certifying more secret key from the same experimental data without changes to the protocol, and outperforming techniques based on entropy accumulation. The results illustrate how sharper mathematical estimates can directly increase the usable output of a quantum communication system.

Abstract:The amount of secret key that can be obtained from a quantum key distribution run depends on both the physically observed error rates and the mathematical bounds used to certify security. For finite datasets, conservative bounds force users to discard a substantial fraction of the potentially available key. Here we further refine and extend the privacy amplification bounds achievable through the recent leftover hash lemma of Regula and Tomamichel [arXiv:2603.04493] and incorporate them into the security analysis of quantum key distribution based on entropic uncertainty relations. This improves on state-of-the-art key rates in finite-block regimes, certifying more secret key from the same experimental data without changes to the protocol, and outperforming techniques based on entropy accumulation. The results illustrate how sharper mathematical estimates can directly increase the usable output of a quantum communication system.

arXiv:2609.38306 [quant-ph]

(or arXiv:2609.38306v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.38306 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 225 words

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