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International Journal on Advanced Electrical and Computer Engineering

Quantum Computing for Cryptanalysis: Breaking Modern Cryptographic Protocols

Jessica Roberts, Jennifer Leigh Clarke

Published Apr 15, 2025• 0 citations
Publisher

Abstract

Quantum computing poses a fundamental threat to modern cryptographic protocols by exploiting quantum algorithms that surpass classical computational limits. Shor’s algorithm can efficiently factor large integers, breaking RSA and other public-key cryptosystems, while Grover’s algorithm accelerates brute-force attacks against symmetric encryption. As quantum hardware advances, traditional cryptographic schemes risk obsolescence, necessitating the development of quantum-resistant cryptographic techniques. This paper explores the theoretical foundations of quantum cryptanalysis, examining key algorithms, their implications for cybersecurity, and the current state of post-quantum cryptographic solutions. By analyzing resource estimates for quantum attacks and potential mitigation strategies, this study provides a comprehensive overview of the evolving cryptographic landscape in the quantum era.

DOI
10.65521/ijaece.v13i2.90

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Quantum computing poses a fundamental threat to modern cryptographic protocols by exploiting quantum algorithms that surpass classical computational limits. Shor’s algorithm can efficiently factor large integers, breaking RSA and other public-key cryptosystems, while Grover’s algorithm accelerates brute-force attacks against symmetric encryption. As quantum hardware advances, traditional cryptographic schemes risk obsolescence, necessitating the development of quantum-resistant cryptographic techniques. This paper explores the theoretical foundations of quantum cryptanalysis, examining key algorithms, their implications for cybersecurity, and the current state of post-quantum cryptographic solutions. By analyzing resource estimates for quantum attacks and potential mitigation strategies, this study provides a comprehensive overview of the evolving cryptographic landscape in the quantum era.
This paper investigates the potential impact of quantum computing on the security of currently deployed cryptographic algorithms. The core premise is that the advent of powerful quantum computers, leveraging algorithms like Shor's algorithm and Grover's algorithm, poses a significant threat to widely used public-key cryptosystems and symmetric-key algorithms. We present a theoretical analysis of several key algorithms – RSA, ECC, and AES – examining their vulnerabilities when subjected to quantum attacks. Specifically, we explore the exponential speedup offered by Shor's algorithm for factoring large numbers, the impact on the key size of ECC, and the Grover's algorithm's influence on symmetric key search. Our work highlights the urgency of transitioning to post-quantum cryptography standards to mitigate the risks posed by this technological advancement. The goal is to provide a comprehensive understanding of the landscape of quantum cryptanalysis and its implications for the future of secure communication.
The advent of quantum computing presents a paradigm shift in the field of cryptanalysis, challenging the security of classical encryption schemes that underpin modern digital communications. This study explores the capabilities of quantum algorithms, particularly Shor's algorithm and Grover's algorithm, in undermining widely used cryptographic systems. Shor's algorithm poses a direct threat to publickey cryptosystems such as RSA and ECC by enabling efficient integer factorization and discrete logarithm computation, which are computationally infeasible for classical computers. Meanwhile, Grover's algorithm provides a quadratic speedup for bruteforce attacks on symmetric-key cryptosystems like AES, significantly reducing their effective security. Through theoretical analysis and simulation-based evaluation, this paper highlights the vulnerabilities of classical encryption in the face of quantum advances and underscores the urgent need for post-quantum cryptographic solutions. The findings emphasize the critical importance of transitioning to quantum-resistant algorithms to ensure long-term data confidentiality in a future dominated by quantum technologies.
The advent of quantum computing poses an existential threat to classical cryptographic systems. Shor’s algorithm (1994) can factor large integers and compute discrete logarithms in polynomial time, breaking widely used schemes like RSA, ECC, and Diffie-Hellman. This paper surveys the state-of-the-art in quantum cryptanalysis, examining its impact on symmetric and asymmetric cryptography, recent progress in quantum attacks, and defenses via post-quantum cryptography (PQC). We analyze key quantum algorithms (Shor’s, Grover’s), their real-world feasibility given current hardware (NISQ-era limitations), and emerging PQC standards (NIST’s CRYSTALS-Kyber, Dilithium). We also discuss novel attack vectors (e.g., hybrid quantum-classical cryptanalysis) and future research directions.
The rapid advancement of quantum computing presents a significant challenge to classical cryptographic systems that underpin modern digital security infrastructures. In particular, RSA-2048 encryption, widely deployed in banking and financial institutions for secure transactions, relies on the computational hardness of integer factorization. However, the emergence of quantum algorithms—especially Shor’s algorithm—poses a fundamental threat to RSA security by enabling polynomial-time factorization of large integers on sufficiently powerful quantum computers. This case study investigates the vulnerability of RSA-2048 within a banking environment, analyzing the mathematical foundations of the threat, potential timelines for quantum feasibility, and associated cybersecurity risks. The study further examines the implications for financial data protection, digital signatures, and secure communication channels. In response to these emerging risks, the paper explores post-quantum cryptographic alternatives, including lattice-based, hash-based, and code-based schemes, and evaluates their suitability for banking applications. The findings emphasize the urgency of transitioning toward quantum-resistant cryptographic frameworks and propose strategic recommendations for proactive cryptographic migration to ensure long-term data confidentiality and system resilience.
The rapid advancement of quantum computing poses both transformative opportunities and profound challenges for modern cybersecurity and cryptography. Unlike classical computers, quantum systems leverage the principles of quantum mechanics-superposition, entanglement, and quantum tunneling-to process information in fundamentally new ways, enabling exponentially faster computation for certain problems. This paradigm shift threatens to render many of today's widely adopted cryptographic algorithms obsolete, particularly those relying on the hardness of integer factorization (e.g., RSA) and discrete logarithms (e.g., ECC and DSA). Quantum algorithms, such as Shor's algorithm, have the potential to break these cryptosystems in polynomial time, exposing sensitive data to unprecedented levels of vulnerability. Additionally, Grover's algorithm accelerates brute-force attacks on symmetric encryption schemes, reducing their effective security strength by half. This paper explores the implications of quantum computing on current cryptographic infrastructures, highlighting the urgency for transitioning to quantum-resistant or postquantum cryptographic algorithms. It examines emerging standards from bodies such as NIST, which are fostering the development and evaluation of lattice-based, codebased, multivariate polynomial, and hash-based cryptographic solutions. Furthermore, the study delves into the dual-edged nature of quantum computing in cybersecuritydiscussing its potential not only as a threat but also as a powerful tool for enhancing security through quantum key distribution (QKD), quantum random number generation, and other quantum-enhanced protocols. The work concludes by evaluating the readiness of current systems for the "quantum threat," identifying gaps in awareness, infrastructure, and policy, and proposing a strategic roadmap for a secure transition into the post-quantum era. As the quantum revolution accelerates, understanding and preparing for its cybersecurity ramifications is not merely a technical necessity but a cornerstone of global digital resilience.
Quantum computing is one of the shifts in paradigm with the potential to break most cryptographic systems. Quantum computers will run complex problems with superposition and entanglement much faster exponentially than classical computers. This poses a solid threat to cryptographic security by efficiently factoring large integers using quantum algorithms like Shor's algorithm, possibly breaking public-key cryptosystems like RSA and ECC. Moreover, Grover's algorithm speeds up symmetric key algorithms brute-force search. This paper discusses these vulnerabilities, surveys the development and feasibility of quantum-resistant algorithms, and addresses practical challenges from their implementations. Finally, it points out standardization processes underway and computation paths for further research. Our findings underline the need to urgently migrate to quantum-resistant cryptographic solutions for robust security in the presence of quantum computing.