{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T11:10:14Z","timestamp":1763464214552,"version":"3.45.0"},"reference-count":35,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T00:00:00Z","timestamp":1763424000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Thales Alenia Space internal funds"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Recent developments have reported on the feasibility of interconnecting small quantum registers in a quantum information network of a few meter-scale for distributed quantum computing purposes. Small quantum processors in a network represent a promising solution to the scalability problem of manipulating more than thousands of noise-free qubits. Here, we propose and assess a satellite-enabled distributed quantum computing system at the French national scale based on existing infrastructures in Paris and Nice. We consider a system composed of both a ground and a Space segment, allowing for the distribution of end-to-end entanglement between Alice in Paris and Bob in Nice, each owning a few-qubit processor composed of trapped ions. In the context of quantum computing, this entanglement resource can be used for the teleportation of a qubit state or for gate teleportation. After having developed a model, we numerically assess the entanglement distribution rate and fidelity generated by this space-based quantum information network and discuss concrete use cases and service performance levels in the framework of distributed quantum computing. We obtain 90 end-to-end entangled photon pairs distributed over a satellite pass of 331 s that can perform a teleportation-based controlled-Z operation with a fidelity of at most 82%.<\/jats:p>","DOI":"10.3390\/e27111166","type":"journal-article","created":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T11:05:31Z","timestamp":1763463931000},"page":"1166","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Towards a Global Scale Quantum Information Network: A Study Applied to Satellite-Enabled Distributed Quantum Computing"],"prefix":"10.3390","volume":"27","author":[{"given":"Laurent","family":"de Forges de Parny","sequence":"first","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Luca","family":"Paccard","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Mathieu","family":"Bertrand","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Luca","family":"Lazzarini","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Valentin","family":"Leloup","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Raphael","family":"Aymeric","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Agathe","family":"Blaise","sequence":"additional","affiliation":[{"name":"Thales SIX GTS, 4 Avenue des Louvresses, 92230 Gennevilliers, France"}]},{"given":"St\u00e9phanie","family":"Molin","sequence":"additional","affiliation":[{"name":"Thales SIX GTS, 4 Avenue des Louvresses, 92230 Gennevilliers, France"}]},{"given":"Pierre","family":"Besancenot","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Cyrille","family":"Laborde","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]},{"given":"Mathias","family":"van den Bossche","sequence":"additional","affiliation":[{"name":"Thales Alenia Space, 26, Avenue J-F Champollion, 31037 Toulouse, France"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1103\/PhysRev.47.777","article-title":"Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?","volume":"47","author":"Einstein","year":"1935","journal-title":"Phys. Rev."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1088\/0034-4885\/61\/2\/002","article-title":"Quantum computing","volume":"61","author":"Steane","year":"1998","journal-title":"Rept. Prog. Phys."},{"key":"ref_3","unstructured":"Nielsen, M., and Chuang, I. (2000). Quantum Computation and Quantum Information, Cambridge University Press."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"062323","DOI":"10.1103\/PhysRevA.76.062323","article-title":"Distributed quantum computation based on small quantum registers. Satellite-to-ground quantum key distribution","volume":"76","author":"Jiang","year":"2007","journal-title":"Phys. Rev. A"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"912","DOI":"10.1038\/s41586-024-08406-9","article-title":"Scaling and networking a modular photonic quantum computer","volume":"638","author":"Rad","year":"2025","journal-title":"Nature"},{"key":"ref_6","unstructured":"(2025, November 01). Available online: https:\/\/www.ibm.com\/roadmaps\/quantum\/2025\/."},{"key":"ref_7","unstructured":"(2025, February 27). Available online: https:\/\/spectrum.ieee.org\/quantum-computers."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1038\/s41586-024-08404-x","article-title":"Distributed quantum computing across an optical network link","volume":"638","author":"Main","year":"2025","journal-title":"Nature"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1038\/s41586-024-07308-0","article-title":"A multinode quantum network over a metropolitan area","volume":"629","author":"Liu","year":"2024","journal-title":"Nature"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"010510","DOI":"10.1103\/PhysRevLett.124.010510","article-title":"Long-distance distribution of atom-photon entanglement at telecom wavelength","volume":"124","author":"Bock","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ref_11","unstructured":"(2025, November 02). Quantum Internet Alliance, Technologies Quantiques|Thales Group, Thales Alenia Space and Partners Sign Contract with ESA for TeQuantS Quantum Satellite Communications Project|Thales Alenia Space, Consortium\u2013LaiQa Project, Quantum Internet-QuTech, TNO Launches Qu-STAR to Pioneer Quantum Internet via Space, Science and Technology-Q-NEXT. Available online: https:\/\/www.thalesaleniaspace.com\/en\/press-releases\/thales-alenia-space-and-partners-sign-contract-european-space-agency-tequants."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1038\/s42005-022-01123-7","article-title":"Satellite-based quantum information networks: Use cases, architecture, and roadmap","volume":"6","author":"Alibart","year":"2023","journal-title":"Commun. Phys."},{"key":"ref_13","unstructured":"Du, D., Castillo-Veneros, L., Cottrill, D., Cui, G.D., Stankus, P., Katramatos, D., Mart\u00ednez-Rinc\u00f3n, J., and Figueroa, E. (2024). A long-distance quantum-capable internet testbed. arXiv."},{"key":"ref_14","unstructured":"(2025, November 01). Available online: https:\/\/www.stonybrook.edu\/commcms\/CDQP-Inaugural-Workshop\/About_the_Center\/Testbed.php."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Craddock, A.N., Lazenby, A., Portmann, G.B., Sekelsky, R., Flament, M., and Namazi, M. (2024). Automated distribution of high-rate, high-fidelity polarization entangled photons using deployed metropolitan fibers. arXiv.","DOI":"10.1103\/PRXQuantum.5.030330"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1038\/s41586-024-07252-z","article-title":"Entanglement of nanophotonic quantum memory nodes in a telecom network","volume":"629","author":"Knaut","year":"2024","journal-title":"Nature"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1038\/s41586-021-03481-8","article-title":"Telecom-heralded entanglement between multimode solid-state quantum memories","volume":"594","author":"Grandi","year":"2021","journal-title":"Nature"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1364\/OPTICAQ.501048","article-title":"Transmission of light\u2013matter entanglement over a metropolitan network","volume":"1","author":"Rakonjac","year":"2023","journal-title":"Opt. Quantum"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1038\/s41586-024-07308-0","article-title":"Creation of memory\u2013memory entanglement in a metropolitan quantum network","volume":"629","author":"Liu","year":"2024","journal-title":"Nature"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Pelet, Y., Sauder, G., Cohen, M., Labont\u00e9, L., Alibart, O., Martin, A., and Tanzilli, S. (2023). Operational entanglement-based quantum key distribution over 50 km of real-field optical fibres. arXiv.","DOI":"10.1103\/PhysRevApplied.20.044006"},{"key":"ref_21","unstructured":"(2025, November 01). Available online: https:\/\/www.welinq.fr\/."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1140","DOI":"10.1126\/science.aan3211","article-title":"Satellite-based entanglement distribution over 1200 kilometers","volume":"356","author":"Yin","year":"2017","journal-title":"Science"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"045006","DOI":"10.1103\/RevModPhys.95.045006","article-title":"Quantum repeaters: From quantum networks to the quantum internet","volume":"95","author":"Azuma","year":"2023","journal-title":"Rev. Mod. Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1038\/s41566-017-0032-0","article-title":"Towards a global quantum network","volume":"11","author":"Simon","year":"2017","journal-title":"Nat. Photon"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1038\/s41534-019-0139-x","article-title":"Routing entanglement in the quantum internet","volume":"5","author":"Pant","year":"2019","journal-title":"Npj Quantum Inf."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Floyd, J.C., and Kwiat, P. (2025, January 25\u201331). Toward entanglement swapping between moving platforms. Proceedings of the Quantum Computing, Communication, and Simulation V, San Francisco, CA, USA.","DOI":"10.1117\/12.3042318"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Bakker, D.L., Jong, Y., Dirks, B.P., and Amaral, G.C. (2024). A Best-Path Approach to the Design of a Hybrid Space-Ground Quantum Network with Dynamic Constraints. Photonics, 11.","DOI":"10.20944\/preprints202402.1515.v1"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1038\/37539","article-title":"Experimental quantum teleportation","volume":"390","author":"Bouwmeester","year":"1997","journal-title":"Nature"},{"key":"ref_29","unstructured":"Yehia, R., Neves, S., Diamanti, E., and Kerenidis, I. (2022). Quantum City: Simulation of a practical near-term metropolitan quantum network. arXiv."},{"key":"ref_30","unstructured":"(2021, September 01). Available online: https:\/\/en.institutparisregion.fr\/fileadmin\/NewEtudes\/000pack2\/Etude_2682\/NR__49_web.pdf."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Pelet, Y., Sauder, G., Tanzilli, S., Alibart, O., and Martin, A. (2025). Entanglement-based clock syntonization for quantum key distribution networks. Demonstration over a 50 km-long link. arXiv.","DOI":"10.1063\/5.0256758"},{"key":"ref_32","unstructured":"(2016, June 09). Coupole du T\u00e9lescope M\u00e9O, sur le Plateau de Calern|CNRS Images. Available online: https:\/\/www.oca.eu\/fr\/instruments-et-stations\/station-de-metrologie-optique-meo."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"4277","DOI":"10.1103\/PhysRevA.40.4277","article-title":"Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model","volume":"40","author":"Werner","year":"1989","journal-title":"Phys. Rev. A"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Brand, S., Coopmans, T., and Elkouss, D. (2020). Efficient Computation of the Waiting Time and Fidelity in Quantum Repeater Chains, Optica Publishing Group. OSA Quantum 2.0 Conference QTh7A.11.","DOI":"10.1364\/QUANTUM.2020.QTh7A.11"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1038\/s41534-017-0025-3","article-title":"Private quantum computation: An introduction to blind quantum computing and related protocols","volume":"3","author":"Fitzsimons","year":"2017","journal-title":"npj Quantum Inf."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/27\/11\/1166\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T11:06:58Z","timestamp":1763464018000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/27\/11\/1166"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,18]]},"references-count":35,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2025,11]]}},"alternative-id":["e27111166"],"URL":"https:\/\/doi.org\/10.3390\/e27111166","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,18]]}}}