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Practical Guide to Quantum Computing for Quantum-Safe Cryptography: Asymmetric-Key Cryptography # 3

Mikhail Pavlov

Published Mar 3, 2026• 0 citations
Publisher

Abstract

Abstract This guide explores asymmetric-key cryptography (AKC) as part of quantum-safe cryptographic practices using IBM Q. Asymmetric cryptography underpins many secure network communications today, providing mechanisms for key exchange, digital signatures, and authentication. Unlike symmetric-key cryptography, AKC uses a public-private key pair, enabling secure communications without sharing a secret key. The lesson covers: Fundamentals of asymmetric-key cryptography. Practical applications, including RSA, DSA, and elliptic curve algorithms. Python examples demonstrating key generation, encryption/decryption, and digital signatures. Evaluation of security considerations against classical and quantum computing attacks. Discussion of potential vulnerabilities and mitigation strategies in the quantum era. By integrating theory with hands-on experimentation on IBM Q, developers gain practical skills to implement asymmetric-key cryptography while understanding the impact of emerging quantum threats and preparing quantum-resilient secure systems.

DOI
10.5281/zenodo.18863051

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Abstract This guide provides a practical introduction to quantum-safe cryptography using IBM Q, demonstrating how quantum computing impacts the security of current and future cryptographic systems. Quantum-safe cryptography addresses the threat posed by quantum algorithms that could break widely used classical encryption schemes, ensuring long-term data protection. Key topics covered include: Fundamentals of quantum-safe cryptography and its importance in the quantum era. Standardization efforts, including NIST competitions for post-quantum algorithms. Mathematical foundations of post-quantum cryptography, such as lattice-based cryptography and learning with errors (LWE). Python examples demonstrating encryption based on new mathematical problems. Overview of specific post-quantum algorithms, including the CRYSTALS suite. Hybrid cryptography approaches combining classical and quantum-resistant schemes. Through hands-on exercises on IBM Q, developers gain practical experience in implementing quantum-resilient encryption, exploring both theoretical foundations and real-world applications, and preparing for the transition to a quantum-secure computing environment.
Cryptography, the practice of concealing messages for private exchange, has evolved significantly to address the challenges posed by new communication methods. In today`s digital world, cryptography has become the cornerstone of cybersecurity, using advanced mathematics like number theory and computational complexity to protect digital information through algorithms. The upcoming arrival of quantum computers poses a serious threat to traditional cryptographic methods, especially those based on asymmetric key cryptography. Quantum Safe Cryptography (QSC) represents the next step in information security, designed to develop cryptographic systems that can withstand attacks from both quantum and classical computers. As quantum computing moves from theory to reality, it`s becoming clear that current cryptographic methods based on integer factorization and discrete logarithm problems are vulnerable to quantum algorithms like Shor`s algorithm. This study highlights the security risks that quantum computing poses to existing encryption methods and proposes a comprehensive approach to quantum-safe cryptography. The transition to quantum-resistant algorithms involves replacing vulnerable cryptographic systems with alternatives that can resist quantum computational attacks. Current analysis shows that while asymmetric key cryptography faces immediate vulnerability, symmetric key algorithms and hash functions remain relatively secure in the near term with appropriate adjustments. Quantum cryptography, which directly uses quantum mechanical principles, offers highly secure encryption mechanisms, notably Quantum Key Distribution (QKD). This research aims to enhance the security of digital infrastructure against quantum threats by evaluating hybrid cryptographic implementations that combine classical and quantum-resistant approaches for optimal security.
As quantum computing progresses towards practical realization, the security of existing cryptographic protocols, such as RSA and Elliptic Curve Cryptography (ECC), faces unprecedented risks. Quantum algorithms like Shor's Algorithm threaten to undermine the security of these widely used encryption schemes, necessitating the development of quantum-resistant alternatives. This paper explores the vulnerabilities of current cryptographic protocols in the quantum era and investigates quantum-safe cryptographic techniques such as lattice-based, hash-based, and code-based cryptography. Additionally, we delve into Quantum Key Distribution (QKD), a method that leverages the principles of quantum mechanics to securely distribute cryptographic keys, ensuring secure communication even in the presence of quantum adversaries. The integration of QKD with post-quantum cryptographic algorithms is proposed as a robust approach to future-proofing cybersecurity. The paper concludes with a discussion of practical challenges in implementing quantum-safe systems and highlights future research directions to strengthen cryptographic resilience against quantum threats.
Quantum computing poses an existential threat to classical public-key cryptography, particularly RSA and elliptic-curve systems, which form the backbone of secure communication, authentication, and digital trust. Once scalable quantum computers emerge, algorithms such as Shor’s will be capable of breaking these schemes, jeopardizing confidentiality and integrity across the internet and enterprise systems. Post-quantum cryptography (PQC) offers a viable defense, providing quantum-resistant algorithms that can be implemented on today’s hardware and protocols. Recent standardization milestones—including NIST’s approval of ML-KEM (Kyber) for key establishment, ML-DSA (Dilithium) and SLH-DSA (SPHINCS+) for signatures, and the selection of HQC as a complementary KEM—mark a turning point for practical adoption. This paper surveys the quantum threat model, algorithm families, performance trade-offs, and integration patterns such as hybrid modes and crypto-agile architectures. It further outlines a phased migration roadmap for enterprises, emphasizing harvest-now-decrypt-later risks and compliance imperatives. By bridging technical, operational, and policy perspectives, the study provides actionable guidance to prepare organizations for a secure and quantum-resilient future.