E.S. Razdyakonov1
1 Financial University under the Government of the Russian Federation (Moscow, Russia)
1 esrazdyakonov@gmail.com
When designing a quantum key distribution network, an important step is to optimize its topology in terms of cost and performance. However, with a large number of intermediate nodes and connections classical methods can be ineffective. Thus, it is necessary to investigate the possibility of solving this problem with the help of metaheuristic ant colony algorithms. To develop several variations of the ant algorithm to find the optimal topology of a quantum key distribution net-work linking a given set of finite nodes. Two algorithms were implemented, including classical ant algorithm and an elitist ant system. A number of experiments were performed on a randomly generated graph, demonstrating the performance of the methods for two or more finite nodes and comparing these results. Application of metaheuristic algorithms for analysis and optimization of quantum key distribution networks can significantly accelerate the process of their design in case of a large number of nodes and connections, slightly inferior in accuracy to classical optimization methods.
Razdyakonov E.S. Application of ant algorithms for topology optimization of quantum key distribution networks. Neurocomputers. 2024. V. 26. № 6. Р. 135-143. DOI: https://doi.org/10.18127/j19998554-202406-16 (In Russian)
- Bennett C.H., Brassard G. Quantum cryptography: Public key distribution and coin tossing. Theoretical computer science. 2014. V. 560. P. 7–11.
- Rumyantsev K.E., Plenkin A.P. Synchronization of the quantum key distribution system in the mode of single-photon pulse registration to increase security. Radio Engineering. 2015. № 2. P. 125–133. (in Russian)
- Mehic M., Niemiec M., Rass S., Ma J., Peev M., Aguado A., Martin V., Schauer S., Poppe A., Pacher C., Voznak M. Quantum key distribution: a networking perspective. ACM Computing Surveys. 2020. V. 53. №. 5. P. 1–41. DOI 10.1145/3402192.
- Salvail L., Peev M., Länger T., Diamanti E., Alléaume R., Lütkenhaus N. Security of trusted repeater quantum key distribution networks. Journal of Computer Security. 2010. V. 18. № 1. P. 61–87. DOI 10.3233/JCS-2010-0373.
- Peev M., Pacher C., Boxleitner W., Happe A., Hasani Y., Humer G., Länger T., Lieger R., Lorünser T., Matyus T., Maurhart O., Poppe A., Querasser E., Suda M., Tamas C., Themel T., Alléaume R., Diamanti E., Barreiro C., Fasel S., Gautier J.D., Gisin N., Stucki D., Thew R.T., Thoma Y., Vannel F., Walenta N., Zbinden H., Bouda J., Debuisschert T., Fossier S., Lodewyck J., Grangier P., Tualle-Brouri R., Dianati M., Dynes J.F., Sharpe A.W., Shields A.J., Yuan Z.L., Fürst M., Nauerth S., Weier H., Weinfurter H., Gay O., Legré M., Monat L., Page J.B., Ribordy G., Robyr S., Trinkler P., Hentschel M., Zeilinger A., Hübel H., Treiber A., Lütkenhaus N., Marhold A., Salvail L., Wimberger I. The SECOQC quantum key distribution network in Vienna. New Journal of Physics. 2009. V. 11. P. 075001. DOI 10.1088/1367-2630/11/7/075001.
- Aji A., Jain K., Krishnan P. A Survey of Quantum Key Distribution (QKD) Network Simulation Platforms. 2nd Global Conference for Advancement in Technology. Bangalore. 2021. DOI 10.1109/GCAT52182.2021.9587708.
- Razdiakonov E.S. Review of methods for optimizing the topology of quantum distribution networks. Engineering Bulletin of the Don. 2024. № 7(115). P. 29–37. (in Russian)
- Li Q., Wang Y., Mao H., Yao J., Han Q. Mathematical model and topology evaluation of quantum key distribution network. Optics Express. 2020. V. 28. №. 7. P. 9419–9434. DOI 10.1364/OE.387697.
- Wang Y., Li Q., Mao H., Han Q., Xu H., Huang F. Topological optimization of hybrid quantum key distribution networks. Optics Express. 2020. V. 28. № 18. P. 26348–26358. DOI 10.1364/OE.401672.
- Cirigliano L., Brosco V., Castellano C., Conti C., Pilozzi L. Optimal quantum key distribution networks: capacitance versus security. npj Quantum Information. 2024. V. 10. № 1. P. 44. DOI 10.1038/s41534-024-00828-7.
- Garcia-Cobo I., Menéndez H.D. Designing large quantum key distribution networks via medoid-based. Future Generation Computer Systems. 2021. V. 115. P. 814–824. DOI 10.1016/j.future.2020.09.037.
- Blum C., Roli A. Metaheuristics in combinatorial optimization: Overview and conceptual comparison. ACM computing surveys. 2003. V. 35. №. 3. P. 268–308.
- Hao Y., Tang J., Gao W. Quantum key distribution strategy based on ant colony algorithm in Quantum Trusted Relay Network. IEEE 7th Advanced Information Technology, Electronic and Automation Control Conference. 2024. P. 635–639. DOI 10.1109/IAEAC59436. 2024.10503941.
- Fernandez S.A., Juan A.A., de Armas Adrián J., Silva D.G., Terrén D.R. Metaheuristics in Telecommunication Systems: Network Design, Routing, and Allocation Problems. IEEE Systems Journal. 2018. V. 12. № 4. P. 3948–3957. DOI 10.1109/JSYST.2017.2788053.
- Pirandola S., Laurenza R., Ottaviani C., Banchi L. Fundamental limits of repeaterless quantum communications. Nature Communications. 2017. V. 8. P. 15043. DOI 10.1038/ncomms15043.
- Solomons N.R., Fletcher A.I., Pirandola S., Aktas D., Venkatachalam N., Rarity J.G., Joshi S.K., Wengerowsky S., Neumann S.P., Ursin R., Lončarić M., Samec Å., Stipčević M., Liu B. Scalable Authentication and Optimal Flooding in a Quantum Network. PRX Quantum. 2022. V. 3. № 2. P. 020311. DOI 10.1103/PRXQuantum.3.020311.