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Open AccessArticle

Improving Parameter Estimation of Entropic Uncertainty Relation in Continuous-Variable Quantum Key Distribution

1
State Key Laboratory of Advanced Optical Communication, Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, China
2
State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 652; https://doi.org/10.3390/e21070652
Received: 19 April 2019 / Revised: 25 June 2019 / Accepted: 1 July 2019 / Published: 2 July 2019
(This article belongs to the Special Issue Entropy in Foundations of Quantum Physics)
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PDF [1061 KB, uploaded 2 July 2019]
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Abstract

The entropic uncertainty relation (EUR) is of significant importance in the security proof of continuous-variable quantum key distribution under coherent attacks. The parameter estimation in the EUR method contains the estimation of the covariance matrix (CM), as well as the max-entropy. The discussions in previous works have not involved the effect of finite-size on estimating the CM, which will further affect the estimation of leakage information. In this work, we address this issue by adapting the parameter estimation technique to the EUR analysis method under composable security frameworks. We also use the double-data modulation method to improve the parameter estimation step, where all the states can be exploited for both parameter estimation and key generation; thus, the statistical fluctuation of estimating the max-entropy disappears. The result shows that the adapted method can effectively estimate parameters in EUR analysis. Moreover, the double-data modulation method can, to a large extent, save the key consumption, which further improves the performance in practical implementations of the EUR. View Full-Text
Keywords: entropic uncertainty relation; continuous-variable quantum key distribution; finite-size effect; composable security; double-data modulation entropic uncertainty relation; continuous-variable quantum key distribution; finite-size effect; composable security; double-data modulation
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Chen, Z.; Zhang, Y.; Wang, X.; Yu, S.; Guo, H. Improving Parameter Estimation of Entropic Uncertainty Relation in Continuous-Variable Quantum Key Distribution. Entropy 2019, 21, 652.

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