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Perfect Reconciliation in Quantum Key Distribution with Order-Two Frames

Dirección de Investigación, Innovación y Posgrado, Universidad Politécnica de Pachuca, Ex-Hacienda de Santa Bárbara, Zempoala 43830, Mexico
Cinvestav Querétaro, Libramiento Norponiente 2000, Real de Juriquilla, Santiago de Querétaro 76230, Mexico
Author to whom correspondence should be addressed.
Academic Editors: Nadir Murru, Alessio Meneghetti, Danilo Bazzanella and Stefano Barbero
Symmetry 2021, 13(9), 1672;
Received: 10 August 2021 / Revised: 3 September 2021 / Accepted: 7 September 2021 / Published: 10 September 2021
(This article belongs to the Special Issue The Advances in Algebraic Coding Theory)
We present an error reconciliation method for Quantum Key Distribution (QKD) that corrects 100% of errors generated in regular binary frames transmitted over a noisy quantum channel regardless of the quantum channel error rate. In a previous investigation, we introduced a novel distillation QKD algorithm whose secret key rate descends linearly with respect to the channel error rate. Now, as the main achievement of this work, we demonstrate an improved algorithm capable of retaining almost all the secret information enclosed in the regular binary frames. Remarkably, this technique increases quadratically the secret key rate as a function of the double matching detection events and doubly quadratically in the number of the quantum pulses. Furthermore, this reconciliation method opens up the opportunity to use less attenuated quantum pulses, would allow greater QKD distances at drastically increased secret key rate. Since our method can be implemented as a software update, we hope that quantum key distribution technology would be fast deployed over global data networks in the quantum era. View Full-Text
Keywords: QKD; distillation; reconciliation QKD; distillation; reconciliation
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MDPI and ACS Style

Lizama-Pérez, L.A.; López-Romero, J.M. Perfect Reconciliation in Quantum Key Distribution with Order-Two Frames. Symmetry 2021, 13, 1672.

AMA Style

Lizama-Pérez LA, López-Romero JM. Perfect Reconciliation in Quantum Key Distribution with Order-Two Frames. Symmetry. 2021; 13(9):1672.

Chicago/Turabian Style

Lizama-Pérez, Luis A., and José M. López-Romero. 2021. "Perfect Reconciliation in Quantum Key Distribution with Order-Two Frames" Symmetry 13, no. 9: 1672.

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