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Bibliographic Details
Main Authors: Castillo-Celeita, Miguel, Schiavon, Matteo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.12721
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author Castillo-Celeita, Miguel
Schiavon, Matteo
author_facet Castillo-Celeita, Miguel
Schiavon, Matteo
contents This work presents a study of continuous-variable quantum key distribution (CV-QKD) protocols over fast-fading channels, typically found in free-space communication links. Two eavesdropping models are considered to evaluate their security under collective attacks: \textit{Holevo bound average} (HBA) and \textit{covariance matrix average} (CMA). In the HBA approach, the Holevo bound is averaged over the channel transmittance. In contrast, the CMA method calculates the Holevo bound from the average covariance matrix. Analytical expressions are developed for both strategies. The two methods also differ in how they calculate the mutual information between the legitimate parties. The results demonstrate that the SKR is significantly influenced by how you treat channel fluctuations, highlighting the importance of choosing the model that better describes the actual implementation of the protocol.
format Preprint
id arxiv_https___arxiv_org_abs_2511_12721
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The role of averages in CV-QKD over fast fading channels
Castillo-Celeita, Miguel
Schiavon, Matteo
Quantum Physics
This work presents a study of continuous-variable quantum key distribution (CV-QKD) protocols over fast-fading channels, typically found in free-space communication links. Two eavesdropping models are considered to evaluate their security under collective attacks: \textit{Holevo bound average} (HBA) and \textit{covariance matrix average} (CMA). In the HBA approach, the Holevo bound is averaged over the channel transmittance. In contrast, the CMA method calculates the Holevo bound from the average covariance matrix. Analytical expressions are developed for both strategies. The two methods also differ in how they calculate the mutual information between the legitimate parties. The results demonstrate that the SKR is significantly influenced by how you treat channel fluctuations, highlighting the importance of choosing the model that better describes the actual implementation of the protocol.
title The role of averages in CV-QKD over fast fading channels
topic Quantum Physics
url https://arxiv.org/abs/2511.12721