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Acta Innovations

HYBRID QUANTUM-CLASSICAL OPTIMIZATION FOR EFFICIENT AND NOISE-TOLERANT POST-QUANTUM CRYPTOGRAPHIC SYSTEMS

Vikas Sharma, Asha Joseph, Pushpendra Kumar Verma, K K Sharma, Krishanpal Singh

Published Sep 25, 2026• 0 citations
Publisher

Abstract

The rapid advancement of quantum computing poses an existential threat to classical public-key cryptographic systems, necessitating the transition to post-quantum cryptography (PQC). However, the deployment of lattice-based PQC schemes such as CRYSTALS-Kyber and CRYSTALS-Dilithium faces significant challenges including computational complexity, noise sensitivity, resource constraints, and security vulnerabilities. This research presents a comprehensive hybrid quantum-classical optimization framework for efficient and noise-tolerant post-quantum cryptographic systems. The framework addresses three primary objectives: (1) developing a unified hybrid quantum-classical optimization architecture that integrates variational quantum algorithms (VQE, QAOA) and QUBO/Ising formulations with classical PQC primitives based on the Learning With Errors (LWE) and Module-LWE problems; (2) designing noise-tolerant PQC protocols through multi-layer noise modeling that characterizes cryptographic, quantum hardware, and classical implementation noise; and (3) enabling resource-aware deployment on constrained platforms including embedded systems, IoT devices, and edge computing nodes. Experimental evaluation demonstrates that the QUBO formulation achieves coefficient ranges suitable for NISQ devices with 99.2% of coefficients within [-1, 1] after normalization. The adaptive partitioning algorithm achieves time-to-solution improvements of 42% for large problem instances compared to classical-only execution. The noise-aware optimization framework achieves decryption failure rate improvements ranging from 2^10.8 to 2^16.8, with combined noise tolerance success rates exceeding 94.56% under severe conditions. Side-channel countermeasures achieve 82.6% reduction in exploitable information leakage, with power leakage correlation reduced from 0.23 to 0.04. The unified Kyber-Dilithium architecture achieves 21% memory savings and 10-11% performance improvements. Reinforcement learning-based scheduling reduces latency by 37% and energy consumption by 39% compared to static scheduling. End-to-end deployment evaluation across smart home, industrial IoT, healthcare, and autonomous vehicle scenarios demonstrates that the hybrid PQC system meets latency and energy requirements while maintaining target security levels. This research provides a practical pathway toward secure communication in the quantum era, bridging the gap between current classical systems and future quantum-enabled solutions.

DOI
10.62441/actainnovations.v63i1s.1440

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The rapid advancement of quantum computing poses an existential threat to classical public-key cryptographic systems, necessitating the transition to post-quantum cryptography (PQC). However, the deployment of lattice-based PQC schemes such as CRYSTALS-Kyber and CRYSTALS-Dilithium faces significant challenges including computational complexity, noise sensitivity, resource constraints, and security vulnerabilities. This research presents a comprehensive hybrid quantum-classical optimization framework for efficient and noise-tolerant post-quantum cryptographic systems. The framework addresses three primary objectives: (1) developing a unified hybrid quantum-classical optimization architecture that integrates variational quantum algorithms (VQE, QAOA) and QUBO/Ising formulations with classical PQC primitives based on the Learning With Errors (LWE) and Module-LWE problems; (2) designing noise-tolerant PQC protocols through multi-layer noise modeling that characterizes cryptographic, quantum hardware, and classical implementation noise; and (3) enabling resource-aware deployment on constrained platforms including embedded systems, IoT devices, and edge computing nodes. Experimental evaluation demonstrates that the QUBO formulation achieves coefficient ranges suitable for NISQ devices with 99.2% of coefficients within [-1, 1] after normalization. The adaptive partitioning algorithm achieves time-to-solution improvements of 42% for large problem instances compared to classical-only execution. The noise-aware optimization framework achieves decryption failure rate improvements ranging from 2^10.8 to 2^16.8, with combined noise tolerance success rates exceeding 94.56% under severe conditions. Side-channel countermeasures achieve 82.6% reduction in exploitable information leakage, with power leakage correlation reduced from 0.23 to 0.04. The unified Kyber-Dilithium architecture achieves 21% memory savings and 10-11% performance improvements. Reinforcement learning-based scheduling reduces latency by 37% and energy consumption by 39% compared to static scheduling. End-to-end deployment evaluation across smart home, industrial IoT, healthcare, and autonomous vehicle scenarios demonstrates that the hybrid PQC system meets latency and energy requirements while maintaining target security levels. This research provides a practical pathway toward secure communication in the quantum era, bridging the gap between current classical systems and future quantum-enabled solutions.
The rise of quantum computing threatens traditional cryptographic systems, driving the urgent adoption of PQC algorithms for securing IoT and edge computing environments. However, selecting an optimal PQC scheme remains challenging due to trade-offs between security strength, computational efficiency, and scalability in real-world deployments. While algorithms like CRYSTALS-Kyber, CRYSTALS-Dilithium, and SPHINCS+ offer quantum resilience. These suffer from processing overhead, high energy consumption, and limited adaptability, hindering their seamless integration into latency-sensitive and resource-constrained IoT networks. In this study, we conduct a comprehensive and systematic performance evaluation of these PQC algorithms within the context of IoT-based cryptographic scheduling workflows, assessing critical efficiency parameters such as encryption/decryption time, execution speed, system latency, energy efficiency, and scalability under varying processing loads and batch sizes. Our analysis reveals that CRYSTALS-Kyber consistently outperforms its counterparts, demonstrating superior computational efficiency, minimal processing delays, and lower power consumption while maintaining high-security resilience against quantum adversaries. Additionally, we propose a dynamic cryptographic scheduling approach, optimizing the balance between security levels and computational resource allocation, ensuring efficient cryptographic task management in large-scale IoT networks. This research provides a foundation for the practical deployment and standardization of PQC in next-generation cryptographic architectures, enabling the seamless transition from classical to quantum-secure cryptographic frameworks. The insights gained from this study are pivotal for advancing cryptographic scheduling models, enhancing security efficiency in real-time IoT operations, and driving the global adoption of PQC algorithms for future-proof digital security infrastructures.
The rapid advancement of quantum computing poses a critical threat to classical public-key cryptographic systems widely used in defense communication infrastructures, while the practical deployment of post-quantum cryptography (PQC) remains constrained by excessive key sizes, computational overhead, and energy consumption in bandwidth- and latency-sensitive military environments. This study aims to develop and evaluate a quantum-inspired multi-objective optimization framework to enhance the operational feasibility of standardized PQC schemes without compromising cryptographic security. The proposed method applies a Quantum Genetic Algorithm (QGA) to optimize configuration parameters of CRYSTALS-Kyber and CRYSTALS-Dilithium by simultaneously balancing security strength, computational performance, resource efficiency, and deployability. Experiments were conducted using official NIST test vectors and defense-oriented communication scenarios, with performance evaluated across encryption and signature latency, throughput, key and signature sizes, memory footprint, and energy consumption, while security was validated against classical and quantum attack models. The results demonstrate that the optimized configurations achieve key and signature size reductions of up to 10.3%, throughput improvements of up to 15.5%, and energy consumption reductions of up to 12.5% compared to baseline NIST implementations, while fully maintaining NIST security levels and robust resistance to quantum adversaries. These improvements significantly enhance the suitability of PQC for tactical radios, satellite communications, and resource-constrained defense platforms. The findings indicate that quantum-inspired multi-objective optimization is a critical enabler for transitioning post-quantum cryptography from theoretical security constructs to deployable, mission-ready solutions in real-world defense systems.
The emergence of large-scale quantum computing presents an imminent threat to contemporary public-key cryptosystems, with quantum algorithms such as Shor’s algorithm capable of efficiently breaking RSA and elliptic curve cryptography (ECC). This vulnerability has catalyzed accelerated standardization efforts for post-quantum cryptography (PQC) by the U.S. National Institute of Standards and Technology (NIST) and global security stakeholders. While theoretical security analysis of these quantum-resistant algorithms has advanced considerably, comprehensive real-world performance benchmarks spanning diverse computing environments—from high-performance cloud infrastructure to severely resource-constrained IoT devices—remain insufficient for informed deployment planning. This paper presents the most extensive cross-platform empirical evaluation to date of NIST-selected PQC algorithms, including CRYSTALS-Kyber and NTRU for key encapsulation mechanisms (KEMs), alongside BIKE as a code-based alternative, and CRYSTALS-Dilithium and Falcon for digital signatures. Our systematic benchmarking framework measures computational latency, memory utilization, key sizes, and protocol overhead across multiple security levels (NIST Levels 1, 3, and 5) in three distinct hardware environments and various network conditions. Results demonstrate that contemporary server architectures can implement these algorithms with negligible performance impact (<5% additional latency), making immediate adoption feasible for cloud services. In contrast, resource-constrained devices experience more significant overhead, with computational demands varying by up to 12× between algorithms at equivalent security levels, highlighting the importance of algorithm selection for edge deployments. Beyond standalone algorithm performance, we analyze integration challenges within existing security protocols, revealing that naive implementation of PQC in TLS 1.3 can increase handshake size by up to 7× compared to classical approaches. To address this, we propose and evaluate three optimization strategies that reduce bandwidth requirements by 40–60% without compromising security guarantees. Our investigation further encompasses memory-constrained implementation techniques, side-channel resistance measures, and hybrid classical-quantum approaches for transitional deployments. Based on these comprehensive findings, we present a risk-based migration framework and algorithm selection guidelines tailored to specific use cases, including financial transactions, secure firmware updates, vehicle-to-infrastructure communications, and IoT fleet management. This practical roadmap enables organizations to strategically prioritize systems for quantum-resistant upgrades based on data sensitivity, resource constraints, and technical feasibility. Our results conclusively demonstrate that PQC is deployment-ready for most applications, provided that implementations are carefully optimized for the specific performance characteristics and security requirements of target environments. We also identify several remaining research challenges for the community, including further optimization for ultra-constrained devices, standardization of hybrid schemes, and hardware acceleration opportunities.
As the advent of quantum computing threatens traditional cryptographic protocols, hybrid classical-quantum secure communication infrastructures have emerged as a critical frontier in cybersecurity. This paper explores the integration of post-quantum cryptographic algorithms—specifically CRYSTALS-Kyber for key encapsulation and CRYSTALS-Dilithium for digital signatures—into hybrid communication architectures designed to resist quantum-level attacks. Leveraging lattice-based cryptographic primitives, both algorithms have been selected for standardization by NIST due to their robust security and performance characteristics. This study evaluates their implementation in real-world communication stacks, assesses latency and throughput under hybrid channel configurations, and proposes a layered security architecture combining classical and quantum-resilient mechanisms. Furthermore, it examines key management, digital trust, and infrastructure scalability in a post-quantum context. Simulation results and hardware-based validations are used to determine practical deployment feasibility in critical sectors such as finance, defense, and healthcare. The findings offer a comprehensive framework for securing data in transitional computing eras, ensuring forward secrecy, and maintaining operational integrity against future adversarial quantum threats.
The imminent threat posed by the realization of large-scale, fault-tolerant quantum computers (QCs), capable of leveraging Shor's algorithm to break foundational classical public-key cryptosystems like RSA and ECC, necessitates an immediate and comprehensive shift to Post-Quantum Cryptography (PQC). This urgency is intensified by the "Harvest Now, Decrypt Later" (HNDL) threat, which compromises long-term data confidentiality. The NIST PQC Standardization process has established Lattice-Based Cryptography as the leading family for new standards. This paper presents a comprehensive comparative analysis of major PQC schemes built upon the foundational mathematical problem, Learning with Errors (LWE). We systematically evaluate these LWE-based schemes (CRYSTALS-Kyber, CRYSTALS-Dilithium) by balancing three critical dimensions: cryptographic security (against classical and quantum attacks), efficiency metrics (key size, signature size, and operational speed), and implementation feasibility across diverse hardware environments. Our findings provide essential insights and a structured framework to guide engineers, policy-makers, and organizations in making informed decisions for the strategic and secure migration to quantum-resistant standards in the post-quantum transition era.
the rapid advancement of quantum computing introduces substantial risks to classical cryptographic algorithms that rely on number-theoretic problems, such as the Rivest–Shamir–Adleman algorithm and elliptic curve cryptography. These cryptographic primitives are susceptible to polynomial-time quantum algorithms like those proposed by Shor and Grover, thereby endangering the security of contemporary digital infrastructures. In light of these emerging threats, the global cryptographic community is prioritizing the development and deployment of quantum-resistant cryptographic techniques. These include diverse algorithmic families such as those based on lattices, hash functions, error-correcting codes, and multivariate polynomials. Each approach exhibits distinct trade-offs in terms of computational performance, key length, signature size, and long-term resilience. This paper introduces a hybrid cryptographic framework optimized for specific application domains, particularly those with limited computational and energy resources. The proposed architecture strategically combines lattice-based encryption, hash-based digital signatures, and code-based key encapsulation mechanisms to form a unified model for secure data transmission. The architecture is implemented and evaluated across heterogeneous computing environments, including low-power embedded systems and Field-Programmable Gate Arrays. Experimental metrics such as execution latency, computational overhead, memory consumption, and energy efficiency are assessed and benchmarked against traditional single-algorithm deployments. The findings demonstrate that the hybrid approach maintains strong quantum resistance while significantly reducing performance penalties, making it suitable for mobile platforms, Internet of Things environments, and real-time communication systems. Future work should emphasize further fine-tuning for specific industrial domains, standardization of hybrid cryptographic protocols, and integration with artificial intelligence-based adaptive security layers to ensure sustainability in the approaching quantum era.