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29 pages, 5992 KiB  
Article
Toward Converged Satellite/Fiber 1550 nm DS-BB84 QKD Networks: Feasibility Analysis and System Requirements
by Aristeidis Stathis, Argiris Ntanos, Nikolaos K. Lyras, Giannis Giannoulis, Athanasios D. Panagopoulos and Hercules Avramopoulos
Photonics 2024, 11(7), 609; https://doi.org/10.3390/photonics11070609 - 27 Jun 2024
Cited by 1 | Viewed by 1452
Abstract
Satellite-based QKD is currently being developed to revolutionize global cryptographic key exchange by facilitating secure communication among remote parties at a global scale. By overcoming the exponential loss of fiber transmission, satellite-to-Earth communication can seamlessly interconnect vast distances as the link budget of [...] Read more.
Satellite-based QKD is currently being developed to revolutionize global cryptographic key exchange by facilitating secure communication among remote parties at a global scale. By overcoming the exponential loss of fiber transmission, satellite-to-Earth communication can seamlessly interconnect vast distances as the link budget of such links is sufficient to support QKD links. In terms of this direction, DV-QKD implementations seems to be technologically ahead since key exchange has been experimentally demonstrated to perform much more efficiently by providing key rates that are orders of magnitude higher compared to entanglement-based key exchange. However, the specific requirements to support effectively functional DV-QKD satellite-to-ground links are yet to be defined. This work attempts to define the satellite and ground segment system requirements needed in order to achieve functional QKD service for various satellites orbits (LEO, MEO, and GEO). Finite key size effects are being considered to determine the minimum block sizes that are required for secure key generation between a satellite node and a ground terminal for a single satellite pass. The atmospheric link channel is modeled with consideration of the most important degradation effects such as turbulence and atmospheric and pointing loss. Critical Tx and Rx system parameters, such as the source’s intrinsic Quantum Bit Error Rate (iQBER), the Rx telescope aperture size, and detection efficiency, were investigated in order to define the minimum requirements to establish an operation satellite-to-ground QKD link under specific assumptions. The performance of each downlink scenario was evaluated for the wavelength of 1550 nm in terms of link availability, link budget, and in the distilling of secure key volumes over time. Finally, the feasibility and requirements for distributing the collected space photons via terrestrial telecom fibers was also studied and discussed, leading to the proposal of a more futuristic WDM-enabled satellite QKD architecture. This comprehensive analysis aims to contribute to the advancement and implementation of effective satellite-based QKD systems, which can further exploit the ground fiber segment to realize converged space/terrestrial QKD networks. Full article
(This article belongs to the Section Quantum Photonics and Technologies)
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Figure 1

Figure 1
<p>Schematic of the envisioned architecture integrating urban and terrestrial grid networks across LEO, MEO, and GEO orbits for DS-BB84 QKD downlinks under night-time conditions. The fiber distribution routes from OGS to detection stations are illustrated with yellow lines.</p>
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<p>Flow chart of the satellite-to-ground MATLAB 2020 software calculator.</p>
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<p>End-to-end link loss over time, as well as the expected normalized SKR over time for different transmitted block sizes values, in telescope-to-SMF coupling, all while considering both (<b>a</b>) SNSPD detectors and (<b>b</b>) SPAD detectors.</p>
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<p>End-to-end link loss and normalized SKR over time for different transmitted block size values of (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1 m and SNSPD with SMF coupling, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1.5 m and SNSPD with SMF coupling and (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 2.3 m and SPAD without SMF coupling.</p>
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<p>End-to-end link loss and normalized SKR over time for different transmitted block size values of (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1.5 m and SNSPD with SMF coupling, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 2.3 m and SNSPD with SMF coupling, and (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 2.3 m and SNSPDs without SMF coupling.</p>
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<p>End-to-end link loss and normalized SKR over time for the different i-QBER values of (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1 m and SNSPD with SMF coupling, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1 m and SPAD with SMF coupling, and (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1 m and SPAD without SMF coupling.</p>
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<p>End-to-end link loss and normalized SKR over time for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> = 1 m and SNSPD with SMF coupling.</p>
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<p>SKR over time for a single satellite pass when varying the sky radiance values of (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> and SMF-coupled SNSPD detection, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> and SMF-coupled SPAD detection, and (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> and free-space SPAD detection.</p>
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<p>SKRs over a single MEO satellite pass when varying the sky radiance values of (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> and SMF-coupled SNSPD detection and (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> <mo>=</mo> <mn>2.3</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> and SMF-coupled SNSPD detection.</p>
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<p>Contour plots of the SMF coupling loss (dB) over focal length Fr and receiver aperture diameter Dr for (<b>a</b>) full-AO correction, (<b>b</b>) tip–tilt correction for Cn<sup>2</sup> = 10<sup>−14</sup> m<sup>−2/3</sup>, and (<b>c</b>) tip–tilt correction for Cn<sup>2</sup> = 10<sup>−13</sup> m<sup>−2/3</sup> with an elevation angle of 90°.</p>
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<p>SKR over time for the different <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> values of (<b>a</b>) SNSPD with SMF coupling, (<b>b</b>) SPAD with SMF coupling, and (<b>c</b>) SPAD without SMF coupling.</p>
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<p>SKR over time accounting for the additional fiber distribution losses of (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> with SNSPD detection, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2.3</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> telescope receiver with SNSPD detection, and (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> telescope receiver with SPAD detection.</p>
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<p>SKR over time accounting for the additional fiber distribution losses of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>D</mi> </mrow> <mrow> <mi>r</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2.3</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> with SNSPD detection and full-AO correction for (<b>a</b>) LEO, (<b>b</b>) MEO, and (<b>c</b>) GEO cases.</p>
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<p>Yearly distilled key bit volume bar plot for LEO, MEO, and GEO.</p>
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<p>Multiple WDM-assisted, on-board QKD source architecture. The centralized SNSPD stations allowed for a significant boost in SKR.</p>
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24 pages, 2188 KiB  
Article
Service for Deploying Digital Twins of QKD Networks
by Raul Martin, Blanca Lopez, Ivan Vidal, Francisco Valera and Borja Nogales
Appl. Sci. 2024, 14(3), 1018; https://doi.org/10.3390/app14031018 - 25 Jan 2024
Cited by 3 | Viewed by 1554
Abstract
Quantum technologies promise major advances in different areas. From computation to sensing or telecommunications, quantum implementations could bring significant improvements to these fields, arousing the interest of researchers, companies, and governments. In particular, the deployment of Quantum Key Distribution (QKD) networks, which enable [...] Read more.
Quantum technologies promise major advances in different areas. From computation to sensing or telecommunications, quantum implementations could bring significant improvements to these fields, arousing the interest of researchers, companies, and governments. In particular, the deployment of Quantum Key Distribution (QKD) networks, which enable the secure dissemination of cryptographic keys to remote application entities following Quantum Mechanics Principles, appears to be one of the most attractive and relevant use cases. Quantum devices and equipment are still in a development phase, making their availability low and their price high, hindering the deployment of physical QKD networks and, therefore, the research and experimentation activities related to this field. In this context, this paper focuses on providing research stakeholders with an open-access testbed where it is feasible to emulate the deployment of QKD networks, thus enabling the execution of experiments and trials, where even potential network attacks can be analyzed, without the quantum physical equipment requirement, nor compromising the integrity of an already built QKD network. The designed solution allows users to automatically deploy, configure, and run a digital twin environment of a QKD network, offering cost-effectiveness and great flexibility in the study of the integration of quantum communications in the current network infrastructures. This solution is aligned with the European Telecommunications Standard Institute (ETSI) standardized application interface for QKD, and is built upon open-source technologies. The feasibility of this solution has been validated throughout several functional trials carried out in the 5G Telefónica Open Network Innovation Centre (5TONIC), verifying the service performance in terms of speed and discarded qubits when generating the quantum keys. Full article
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Figure 1
<p>General example of two sites in a QKD network by ETSI [<a href="#B27-applsci-14-01018" class="html-bibr">27</a>].</p>
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<p>Outline of how the QKD network digital twin orchestrator service works. The numbers indicate the order in which the steps are carried out.</p>
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<p>Functional architecture of the QKD network digital twin sites. Components along with their interfaces are shown.</p>
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<p>Left, steps followed by the QKD Network Digital Twin orchestrator application when a pre-deployed machines pool exists. Right, steps followed when the OSM is used to deploy the QKD network machines.</p>
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<p>Overview of the software architecture of a quantum node. Layers can be identified by sections and colours.</p>
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<p>YAML configuration file describing the scenario.</p>
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<p>YAML inventory file describing the scenario.</p>
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<p>Scenario scheme of the functional validation and the tests regarding key exchange time and discarded qubits.</p>
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<p>Sequence diagram of the steps followed in the functional validation.</p>
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<p>Performance evaluation results. (<b>a</b>) Time spent in the exchange of one key as a function of the key size. For each key size, the distribution of the 20 exchanged keys is shown. (<b>b</b>) Qubits discarded when exchanging a key as a function of the key size. For each key size, the distribution of the 20 exchanged keys is shown.</p>
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<p>Performance evaluation results. (<b>a</b>) Time spent in the exchange of one key as a function of the key size. For each key size, the distribution of the 20 exchanged keys is shown. (<b>b</b>) Qubits discarded when exchanging a key as a function of the key size. For each key size, the distribution of the 20 exchanged keys is shown.</p>
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<p>Scenario scheme of the experiment regarding the performance of orchestration actions.</p>
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<p>Deployment evaluation results. (<b>a</b>) Deployment time as a function of the network node number. For each network, the distribution of the 20 deployments is shown. (<b>b</b>) Average percentage that each process represents in a deployment.</p>
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13 pages, 6525 KiB  
Article
Quantum Communications Feasibility Tests over a UK-Ireland 224 km Undersea Link
by Ben Amies-King, Karolina P. Schatz, Haofan Duan, Ayan Biswas, Jack Bailey, Adrian Felvinti, Jaimes Winward, Mike Dixon, Mariella Minder, Rupesh Kumar, Sophie Albosh and Marco Lucamarini
Entropy 2023, 25(12), 1572; https://doi.org/10.3390/e25121572 - 22 Nov 2023
Cited by 3 | Viewed by 1714
Abstract
The future quantum internet will leverage existing communication infrastructures, including deployed optical fibre networks, to enable novel applications that outperform current information technology. In this scenario, we perform a feasibility study of quantum communications over an industrial 224 km submarine optical fibre link [...] Read more.
The future quantum internet will leverage existing communication infrastructures, including deployed optical fibre networks, to enable novel applications that outperform current information technology. In this scenario, we perform a feasibility study of quantum communications over an industrial 224 km submarine optical fibre link deployed between Southport in the United Kingdom (UK) and Portrane in the Republic of Ireland (IE). With a characterisation of phase drift, polarisation stability and the arrival time of entangled photons, we demonstrate the suitability of the link to enable international UK–IE quantum communications for the first time. Full article
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Figure 1
<p>Field trial and experimental setup. (<b>a</b>) Geographic representation and (<b>b</b>) satellite image of the field trial. The ‘Rockabill’ link deployed by the company euNetworks [<a href="#B33-entropy-25-01572" class="html-bibr">33</a>] is drawn as an orange line with endpoints in the cable landing stations (CLSs) of Portrane, IE, and Southport, UK. The blue dot in the top panel denotes the University of York (UoY). The whole experimental setup and its subsystems, including the SNSPDs, were moved from the UoY to the two CLSs to perform the feasibility tests. (<b>c</b>–<b>e</b>) Subsystems of the experimental setup to characterise the optical phase (top), polarisation (middle), and entangled photon pair distribution (bottom) across the UK–IE link. Map data courtesy of GHSSG, Esri, Maxar, Earthstar Geographics, and the GIS User Community.</p>
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<p>Relative phase drift of the fibre pair 39 and 40 of the Rockabill link: (<b>a</b>) <math display="inline"><semantics> <mrow> <mn>0.5</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">s</mi> </semantics></math> of the phase drift of the channel; and (<b>b</b>) power spectral density (PSD) of the phase noise of the channel (blue), with detector noise (orange) plotted for comparison.</p>
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<p>The long-term polarisation drift of the channel over 14 <math display="inline"><semantics> <mi mathvariant="normal">h</mi> </semantics></math> overnight.</p>
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<p>Total count rates (blue) and QBER (red) for different quantum states prepared in Portrane, as measured in Southport. Plots (<b>a</b>,<b>c</b>,<b>e</b>,<b>g</b>) correspond to a preparation of the state <math display="inline"><semantics> <mrow> <mo>|</mo> <mi>H</mi> <mo>〉</mo> </mrow> </semantics></math> measured in the rectilinear basis <math display="inline"><semantics> <mrow> <mi>H</mi> <mo>/</mo> <mi>V</mi> </mrow> </semantics></math>; plots (<b>b</b>,<b>d</b>,<b>f</b>,<b>h</b>) are similar, but for the state <math display="inline"><semantics> <mrow> <mo>|</mo> <mi>V</mi> <mo>〉</mo> </mrow> </semantics></math>. Plots (<b>i</b>,<b>j</b>) correspond to the states <span class="html-italic">D</span> and <span class="html-italic">A</span> prepared, respectively, measured in the rectilinear basis <math display="inline"><semantics> <mrow> <mi>H</mi> <mo>/</mo> <mi>V</mi> </mrow> </semantics></math>. The first and last columns were generated with photon flux <math display="inline"><semantics> <mrow> <mi>μ</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, whereas columns 2–4 depict the states at <math display="inline"><semantics> <mi>μ</mi> </semantics></math> equal to 0.6, 0.5, and 0.4, respectively.</p>
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<p>Simulation of the secret key rate (SKR, blue solid line) with the parameters of the UK–IE field trial (inset) and our experimental point (orange empty diamond). The distance of the field trial between Alice, in the Portrane CLS, and Bob, in the Southport CLS, is 224 km, which is only 9 km shorter than the maximum distance providing a positive SKR (233 km). Parameters—<math display="inline"><semantics> <msub> <mi>η</mi> <mrow> <mi>d</mi> <mi>e</mi> <mi>t</mi> </mrow> </msub> </semantics></math>: detection efficiency (SNSPD); <math display="inline"><semantics> <msub> <mi>η</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>c</mi> </mrow> </msub> </semantics></math>: efficiency of the receiver; <math display="inline"><semantics> <msub> <mi>p</mi> <mrow> <mi>d</mi> <mi>a</mi> <mi>r</mi> <mi>k</mi> </mrow> </msub> </semantics></math>: dark counts; <math display="inline"><semantics> <msub> <mi>p</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>r</mi> <mi>a</mi> <mi>y</mi> </mrow> </msub> </semantics></math>: background photons from the channel; <math display="inline"><semantics> <msub> <mi>e</mi> <mrow> <mi>o</mi> <mi>p</mi> <mi>t</mi> </mrow> </msub> </semantics></math>: optical noise; <math display="inline"><semantics> <mi>μ</mi> </semantics></math>: mean photon number; <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>l</mi> <mi>o</mi> <mi>c</mi> <mi>k</mi> </mrow> </msub> </semantics></math>: clock rate of the simulated system.</p>
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<p>Histogram of the time delays between consecutive photon detections at the end of the two submarine channels. Pair photons from the EPS arrive with a fixed relative delay of 113 <math display="inline"><semantics> <mi mathvariant="normal">n</mi> </semantics></math><math display="inline"><semantics> <mi mathvariant="normal">s</mi> </semantics></math> at a signal-to-noise ratio of 1.92, computed over the indicated red 12 <math display="inline"><semantics> <mi mathvariant="normal">n</mi> </semantics></math><math display="inline"><semantics> <mi mathvariant="normal">s</mi> </semantics></math> coincidence window. The green lines indicates an exemplary coincidence window including only accidentals. The inlay shows the typical spectrum of the stray photon noise present in the channel, with the dashed lines indicating the wavelengths chosen for the EPS measurement.</p>
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15 pages, 3110 KiB  
Article
Quantum Key Distribution Networks: Challenges and Future Research Issues in Security
by Chia-Wei Tsai, Chun-Wei Yang, Jason Lin, Yao-Chung Chang and Ruay-Shiung Chang
Appl. Sci. 2021, 11(9), 3767; https://doi.org/10.3390/app11093767 - 22 Apr 2021
Cited by 25 | Viewed by 9106
Abstract
A quantum key distribution (QKD) network is proposed to allow QKD protocols to be the infrastructure of the Internet for distributing unconditional security keys instead of existing public-key cryptography based on computationally complex mathematical problems. Numerous countries and research institutes have invested enormous [...] Read more.
A quantum key distribution (QKD) network is proposed to allow QKD protocols to be the infrastructure of the Internet for distributing unconditional security keys instead of existing public-key cryptography based on computationally complex mathematical problems. Numerous countries and research institutes have invested enormous resources to execute correlation studies on QKD networks. Thus, in this study, we surveyed existing QKD network studies and practical field experiments to summarize the research results (e.g., type and architecture of QKD networks, key generating rate, maximum communication distance, and routing protocol). Furthermore, we highlight the three challenges and future research issues in the security of QKD networks and then provide some feasible resolution strategies for these challenges. Full article
(This article belongs to the Special Issue Quantum Communications and Quantum Networks)
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Figure 1
<p>Framework of the quantum key distribution (QKD) network.</p>
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<p>Schematic diagram of the quantum link.</p>
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<p>Active optical switch network and trusted node network, in which (<b>a</b>) presents the schematic diagram of active optical switch based QKD network and (<b>b</b>) presents the schematic diagram of a trusted QKD network.</p>
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<p>Schematic diagram of transmitting a session key, in which (<b>a</b>) presents the schematic diagram of transmitting session key in P2P method and (<b>b</b>) the schematic diagram of transmitting session key in point-to-multipoint (P2M) method.</p>
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<p>Session key transmission method in the DARPA QKD network.</p>
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<p>Session key transmission method in the SECOQC QKD network.</p>
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<p>Session key transmission method using the multiple-path strategy.</p>
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<p>Session key transmission method using quantum secret sharing (QSS).</p>
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<p>Security interface between the quantum node and end users/applications.</p>
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