Finite-Key Analysis of Quantum Key Distribution with Characterized Devices Using Entropy Accumulation

• URL: http://arxiv.org/abs/2203.06554v1
• Date: Sun, 13 Mar 2022 03:00:41 GMT
• Title: Finite-Key Analysis of Quantum Key Distribution with Characterized Devices Using Entropy Accumulation
• Authors: Ian George, Jie Lin, Thomas van Himbeeck, Kun Fang, Norbert L\"utkenhaus
• Abstract summary: The Entropy Accumulation Theorem (EAT) was introduced to significantly improve the finite-size rates for device-independent quantum information processing tasks. We present new tools for applying the EAT in the device-dependent setting.
• Score: 9.316071675613738
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Entropy Accumulation Theorem (EAT) was introduced to significantly improve the finite-size rates for device-independent quantum information processing tasks such as device-independent quantum key distribution (QKD). A natural question would be whether it also improves the rates for device-dependent QKD. In this work, we provide an affirmative answer to this question. We present new tools for applying the EAT in the device-dependent setting. We present sufficient conditions for the Markov chain conditions to hold as well as general algorithms for constructing the needed min-tradeoff function. Utilizing Dupuis' recent privacy amplification without smoothing result, we improve the key rate by optimizing the sandwiched R\'{e}nyi entropy directly rather than considering the traditional smooth min-entropy. We exemplify these new tools by considering several examples including the BB84 protocol with the qubit-based version and with a realistic parametric downconversion source, the six-state four-state protocol and a high-dimensional analog of the BB84 protocol.

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