PROTECTION AND RESILIENCE MODEL FOR QUANTUM REPEATERS

Modern quantum networks necessitate high levels of reliability and data security. Quantum repeaters are pivotal for enabling network scalability and maintaining quantum state coherence over significant distances. Simultaneously, repeaters represent critical network nodes that may be vulnerable to physical noise, technical malfunctions, and node-level cyberattacks. Consequently, there is an urgent need to develop systemic models capable of assessing the resilience of repeaters and ensuring their protection within scalable quantum network architectures. This paper proposes a mathematical-cybernetic model for the protection and resilience of quantum repeaters. The model incorporates physical processes, noise effects, and potential cyber threats, integrating static approaches for vulnerability assessment with dynamic-adaptive mechanisms for automated response to external influences. Furthermore, it is highlighted that contemporary hybrid models synergize quantum algorithms with classical security protocols. This integration enables a systematic evaluation of the trade-off between computational fidelity, resource efficiency, and attack resilience. The analyzed objective functions facilitate the quantitative assessment of protection mechanism effectiveness and quantum repeater resilience across various operational scenarios, including active interference and infrastructure scaling. The study introduces systemic criteria for evaluating node reliability and cybersecurity, representing a critical component for the integration and operation of quantum communication technologies. The findings establish a methodological framework for enhancing cyber defense strategies in quantum networks, with a primary focus on bolstering the resilience of critical infrastructure components. The proposed model optimizes repeater protection mechanisms within scalable network topologies and provides an analytical foundation for investigating adaptive control algorithms. This ensures reliable transmission and the seamless integration of quantum communications into next-generation systems.