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4-Dimensional Quantum Key Distribution Protocol over 52-km Deployed Multicore Fibre

Mujtaba Zahidy, Domenico Ribezzo, Claudia De Lazzari, Ilaria Vagniluca, Nicola Biagi, Tommaso Occhipinti, Leif Katsuo Oxenløwe, Galili M., Hayashi T., Antonelli C., Antonio Mecozzi, Zavatta A., Bacco D.

Published Jan 1, 2022• 0 citations
OpenAlex

Abstract

We demonstrate a 4-dimensional path-encoded QKD system over a 52-km multi-core fieldinstalled fibre. The 4D-QKD has a 68.5 kbit/s secret key rate, which is 118% higher than the equivalent 2D-QKD over the same link, owing to the higher dimensionality and greater noise resilience.

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By exploiting the core aspects of quantum mechanics, quantum key distribution (QKD) offers a solution to the critical challenge of secure communication, facilitating the exchange of a provably secure secret key between remote parties. Despite its potential, QKD faces challenges such as low secret key rates, short propagation distances, and low noise tolerance; however, high-dimensional QKD is a promising strategy to mitigate these constraints. High-dimensional QKD extends the Hilbert space dimension beyond two by utilizing multiple degrees of freedom of the electromagnetic field. While several studies address high-dimensional QKD in multicore fibers, which provide degrees of freedom associated with a particular core choice, these works do not consider cases with significant crosstalk between cores. In this work, we present the estimated secret key rate and quantum bit error rate as functions of the parameters of a four-dimensional hybrid time-path QKD system, considering the crosstalk between cores.

International Conference on Transparent Optical Networks•Jul 6, 2025•0 citations
Quantum key distribution (QKD) is a secure communication scheme for sharing symmetric cryptographic keys based on the laws of quantum physics, and is considered a key player in the realm of cyber-security. A critical challenge for QKD systems comes from the fact that the ever-increasing rates at which digital data are transmitted require more and more performing sources of quantum keys, primarily in terms of secret key generation rate. High-dimensional QKD based on path encoding has been proposed as a candidate approach to address this challenge. However, while proof-of-principle demonstrations based on lab experiments have been reported in the literature, demonstrations in realistic environments are still missing. Here we report the generation of secret keys in a 4-dimensional hybrid time-path-encoded QKD system over a 52-km deployed multicore fiber link forming by looping back two cores of a 26-km 4-core optical fiber. Our results indicate that robust high-dimensional QKD can be implemented in a realistic environment by combining standard telecom equipment with emerging multicore fiber technology.
Abstract Quantum key distribution (QKD) protocols based on high-dimensional quantum states have shown the route to increase the key rate generation while benefiting of enhanced error tolerance, thus overcoming the limitations of two-dimensional QKD protocols. Nonetheless, the reliable transmission through fiber links of high-dimensional quantum states remains an open challenge that must be addressed to boost their application. Here, we demonstrate the reliable transmission over a 2-km-long multicore fiber of path-encoded high-dimensional quantum states. Leveraging on a phase-locked loop system, a stable interferometric detection is guaranteed, allowing for low error rates and the generation of 6.3 Mbit/s of a secret key rate.
Quantum key distribution (QKD) provides information-theoretic security rooted in quantum physics, while high-dimensional (HD) encoding increases both noise tolerance and secret-key yield. Multicore fibers (MCFs), a leading platform for next-generation telecom networks, are a natural substrate for HD-QKD. Field demonstrations over deployed MCFs have so far relied on a hybrid qudit encoding strategy that combines two path (core modes) with the time-bin photonic degree of freedom, rather than exploiting the full set of available core modes. Although practical, this approach incurs intrinsic efficiency penalties that grow with dimension. Here we implement a four-dimensional (d=4d=4d=4) QKD protocol that directly exploits the full set of core modes of a four-core MCF, operating over an installed MCF network across the Universidad de Concepción campus under continuous environmental perturbations. We further benchmark the scheme using superconducting nanowire detectors at 10 10\,10dB channel loss, achieving a composable finite-key rate of R=6.19×10−3 R = 6.19\times 10^{-3}\,R=6.19×10−3bits/pulse, the highest per-pulse rate reported to date for HD-QKD at comparable loss. This result establishes core-mode encoding as a viable architecture for realistic, high-rate quantum-secure communications.
Quantum key distribution (QKD) provides information-theoretic security rooted in quantum physics, while high-dimensional (HD) encoding increases both noise tolerance and secret-key yield. Multicore fibers (MCFs), a leading platform for next-generation telecom networks, are a natural substrate for HD-QKD. Field demonstrations over deployed MCFs have so far relied on a hybrid qudit encoding strategy that combines two path (core modes) with the time-bin photonic degree of freedom, rather than exploiting the full set of available core modes. Although practical, this current approach incurs intrinsic efficiency penalties that grow with dimension. Encoding a qudit in the full set of core modes removes these penalties, but it requires the coherent control of all cores at once and has so far been restricted to laboratory settings. Here we implement a four-dimensional ( d = 4 ) QKD protocol that directly exploits the full set of core modes of a four-core MCF, operating over an installed MCF network across the Universidad de Concepción campus under continuous environmental perturbations. We further benchmark the scheme using superconducting nanowire detectors at 10 dB channel loss, achieving a composable finite-key rate of R = 6.19 × 10 − 3 bits / pulse , the highest per-pulse rate reported to date for deployed HD-QKD at comparable loss. This result establishes core-mode encoding as a viable architecture for realistic, high-rate quantum-secure communications.
By exploiting the core aspects of quantum mechanics, quantum key distribution (QKD) offers a solution to the critical challenge of secure communication, facilitating the exchange of a provably secure secret key between remote parties. Despite its potential, QKD faces challenges such as low secret key rates, short propagation distances, and low noise tolerance; however, high-dimensional QKD is a promising strategy to mitigate these constraints. High-dimensional QKD extends the Hilbert space dimension beyond two by utilizing multiple degrees of freedom of the electromagnetic field. While several studies address high-dimensional QKD in multicore fibers, which provide degrees of freedom associated with a particular core choice, these works do not consider cases with significant crosstalk between cores. In this work, we present the estimated secret key rate and quantum bit error rate as functions of the parameters of a four-dimensional hybrid time-path QKD system, considering the crosstalk between cores.