Non-Gaussianity and security of entanglement-based QKD

Fuente: arXiv
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Main Authors: Gumberidze, Mariia, Usenko, Vladyslav C.
Format: Preprint
Published: 2025
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author Gumberidze, Mariia
Usenko, Vladyslav C.
author_facet Gumberidze, Mariia
Usenko, Vladyslav C.
contents We theoretically analyse the relation between non-Gaussianity and security of entanglement-based quantum key distribution (QKD) protocols, namely device-independent (DI) and entanglement-based BB$84$. A similar analysis has already been made for prepare-and-measure (P\&M) protocols \cite{Lasota2017}. In addition, we consider imperfect detection with dark counts and limited efficiency. We assume a perfect source of entangled Bell states as produced by quantum-dot type sources, depolarisation in the channel and different noise statistics, namely thermal and Poissonian. We consider single-photon avalanche photodiodes (SPAD) and photon number resolving detectors (PNRD) and use their respective criteria for non-Gaussianity. The results show cross-regions for both security and non-Gaussianity, hence, the possibility to conclude about the suitability of a given channel for secret key distribution. Our results can be useful as a pre-check for the implementation of QKD protocols.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01761
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Gaussianity and security of entanglement-based QKD
Gumberidze, Mariia
Usenko, Vladyslav C.
Quantum Physics
Optics
We theoretically analyse the relation between non-Gaussianity and security of entanglement-based quantum key distribution (QKD) protocols, namely device-independent (DI) and entanglement-based BB$84$. A similar analysis has already been made for prepare-and-measure (P\&M) protocols \cite{Lasota2017}. In addition, we consider imperfect detection with dark counts and limited efficiency. We assume a perfect source of entangled Bell states as produced by quantum-dot type sources, depolarisation in the channel and different noise statistics, namely thermal and Poissonian. We consider single-photon avalanche photodiodes (SPAD) and photon number resolving detectors (PNRD) and use their respective criteria for non-Gaussianity. The results show cross-regions for both security and non-Gaussianity, hence, the possibility to conclude about the suitability of a given channel for secret key distribution. Our results can be useful as a pre-check for the implementation of QKD protocols.
title Non-Gaussianity and security of entanglement-based QKD
topic Quantum Physics
Optics
url https://arxiv.org/abs/2511.01761