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Communications in computer and information science

Mathematical Foundations for Modern Cryptography in the Quantum Era

Javier Orduz

Published Jan 1, 2025• 1 citation
Publisher
DOI
10.1007/978-3-031-94956-2_16

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In the modern digital era, where cyber-attacks, data breaches, and digital spying threaten global security, conventional cryptographic systems face increasing challenges. The rapid development of quantum computing has amplified these threats by undermining the security foundations of classical encryption algorithms such as RSA (Rivest–Shamir–Adleman) and ECC (Elliptic Curve Cryptography), both of which depend on the computational hardness of factorization and discrete logarithmic problems. Quantum cryptography, rooted in the principles of quantum mechanics, introduces a transformative approach that ensures theoretically unbreakable security. This paper explores the theoretical foundations, current technological developments, challenges, and future prospects of quantum cryptography. It emphasizes the transition from mathematical security to physical security, highlighting quantum key distribution (QKD), quantum random number generation, and post-quantum cryptographic frameworks. The study concludes that quantum cryptography is not merely a futuristic ideal but a necessary evolution for safeguarding the digital future in a quantum-enabled world