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CRC Press eBooks

Cryptography and Quantum

Timur Qader

Published Dec 16, 2025• 0 citations
Publisher

Abstract

This chapter explains the evolution and future risks to cryptography from quantum computing. It outlines key historical developments from ancient ciphers through World War II (WWII) innovations like Enigma and Colossus, to modern symmetric and asymmetric encryption systems. It highlights RSA, Diffie-Hellman, and AES, and introduces digital certificates and HTTPS protocols. The chapter then shifts to the quantum threat, explaining how Shor's algorithm breaks asymmetric encryption and Grover's weakens symmetric methods. It details the “harvest now, decrypt later” risk, emphasizing the urgency of post-quantum cryptography. NIST's efforts to standardize quantum-resistant algorithms are noted. The chapter concludes with a breakdown of symmetric, asymmetric, and hash-based cryptographic methods, their applications, and quantum-era challenges. The focus is on the need for proactive migration strategies and resilient cryptographic frameworks before quantum systems become practically deployable, potentially by 2030. The chapter serves as a foundational guide for understanding and responding to the quantum disruption of cryptographic security.

DOI
10.1201/9781003685746-4

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This chapter explains the evolution and future risks to cryptography from quantum computing. It outlines key historical developments from ancient ciphers through World War II (WWII) innovations like Enigma and Colossus, to modern symmetric and asymmetric encryption systems. It highlights RSA, Diffie-Hellman, and AES, and introduces digital certificates and HTTPS protocols. The chapter then shifts to the quantum threat, explaining how Shor's algorithm breaks asymmetric encryption and Grover's weakens symmetric methods. It details the “harvest now, decrypt later” risk, emphasizing the urgency of post-quantum cryptography. NIST's efforts to standardize quantum-resistant algorithms are noted. The chapter concludes with a breakdown of symmetric, asymmetric, and hash-based cryptographic methods, their applications, and quantum-era challenges. The focus is on the need for proactive migration strategies and resilient cryptographic frameworks before quantum systems become practically deployable, potentially by 2030. The chapter serves as a foundational guide for understanding and responding to the quantum disruption of cryptographic security.
This chapter identifies quantum threats to modern cryptographic systems and outlines mitigation strategies. It classifies vulnerabilities by cryptographic type: asymmetric (broken by Shor's algorithm), symmetric (weakened by Grover's algorithm), and digital signatures. It emphasizes risks such as compromised software updates, blockchain manipulation, and the “harvest now, decrypt later” threat. The chapter reviews national and international roadmaps by NIST, NSA, ETSI, WEF, and ENISA, highlighting timelines for inventory, migration, and validation. It presents case studies from Google, Microsoft, IBM, and others piloting post-quantum cryptography. Recommended remediation includes inventorying cryptographic assets, adopting hybrid schemes, and implementing crypto-agile infrastructure. A proposed “quantum-safe stack” aligns resilient algorithms (e.g., CRYSTALS-Kyber, Dilithium, AES-256) with key security tasks. The chapter concludes with practical checklists and a phased roadmap for organizations to begin immediate planning and transition, recognizing a multi-year effort is needed to achieve post-quantum readiness before full-scale quantum computing becomes operational.
The accelerating development of quantum computing represents one of the most significant paradigm shifts in the history of information security. Cryptographic systems that currently underpin global digital infrastructure—including RSA, Diffie–Hellman, and Elliptic Curve Cryptography—rely on mathematical assumptions that collapse under quantum algorithms such as Shor’s and Grover’s. Post-Quantum Cryptography (PQC) emerges as the most viable and immediate solution to secure communications in the quantum era, offering cryptographic primitives that can be deployed on today’s classical hardware while resisting both classical and quantum attacks. This review provides a comprehensive, detailed examination of PQC, analyzing its mathematical foundations, algorithmic families, standardization progress, and deployment challenges. Special emphasis is placed on the NIST PQC standardization process, the risk posed by “harvest-now-decrypt-later” adversaries, the complexities of global cryptographic migration, and the implications for critical digital infrastructures such as cloud computing, blockchain systems, long-lifespan data archives, IoT ecosystems, and national cybersecurity. Through standalone equations, tables, and figures—including a conceptual visual provided by the user—this paper offers a complete, cohesive, and rigorous synthesis. The findings underscore that the transition to PQC is not optional but imperative, requiring coordinated scientific, governmental, and industrial effort to safeguard the digital future.
“Cryptographic Implications of Quantum Computing” explores the significant impact quantum computing will have on modern cryptographic systems. Cryptography is essential for maintaining confidentiality, integrity, and authenticity in digital communications, safeguarding critical infrastructure, and building trust in the digital economy. As quantum computing advances, traditional cryptographic systems will face new challenges. Also this chapter examines Shor's Algorithm, which poses a major threat to RSA and Elliptic Curve Cryptography (ECC) by enabling quantum computers to efficiently solve the prime factorization and discrete logarithm problems, breaking these widely used public key cryptosystems. The potential of Grover's Algorithm is also discussed, highlighting its ability to speed up brute-force attacks on symmetric encryption systems like AES, halving the security of traditional symmetric-key algorithms. To mitigate these threats, the chapter suggests adopting AES-256 or longer key lengths, which are more resistant to quantum attacks, and recommends shifting to quantum-resistant algorithms for both symmetric and asymmetric encryptions. However, practical considerations, such as increased computational overhead and the challenges of transitioning to new systems, are also explored. The vulnerabilities of classical cryptographic systems particularly public-key methods like RSA and ECC, and symmetric key algorithms like AES and DES are examined in light of the capabilities of quantum computers. As quantum computing progresses, it is crucial for organizations and governments to adapt and adopt post-quantum cryptography to ensure data security in the quantum era. The chapter emphasizes the need for a proactive approach to protect sensitive information against the emerging quantum threats.
This article explores the profound impact of quantum computing on cybersecurity, highlighting the potential threats to current cryptographic systems and the emerging solutions in the field of quantum-safe security. It begins by explaining the fundamental principles of quantum computing, contrasting them with classical computing, and detailing how quantum algorithms like Shor's and Grover's pose significant risks to widely used encryption methods such as RSA and AES. The article then delves into the development of post-quantum cryptography, discussing various approaches including lattice-based, code-based, and multivariate polynomial cryptography, with a focus on the NIST standardization initiative. Additionally, it examines quantum cryptography techniques, particularly Quantum Key Distribution (QKD), as alternative methods for secure communication. The article concludes by addressing the challenges organizations face in transitioning to quantum-safe security, including expertise gaps, resource limitations, and financial implications. It emphasizes the urgency of preparing for the quantum era while acknowledging the complexities involved in implementing quantum-resistant measures across global networks. This comprehensive overview provides insights into the evolving landscape of cybersecurity in the face of advancing quantum technologies and underscores the critical need for proactive strategies to safeguard digital infrastructure in the coming quantum age.
Cryptography has evolved from ancient substitution ciphers to modern mathematical algorithms including Rivest–Shamir–Adleman (RSA), elliptic curve cryptography (ECC), and advanced encryption standard (AES) that form the core of security systems, along with the major information security objectives: confidentiality, integrity, authenticity, availability, accountability, nonrepudiation, and privacy and their practical applications in protocols such as transport layer security (TLS), Internet Protocol Security (IPsec), and Secure/Multipurpose Internet Mail Extensions (S/MIME). The security of RSA, ECC, and symmetric-key ciphers has been threatened by quantum computers that exploit Shor’s and Grover’s algorithms. In response to this quantum threat, NIST has standardized post-quantum cryptographic PQC) algorithms: ML-KEM, a lattice-based key encapsulation mechanism and ML-DSA, a lattice-based digital signature scheme. This chapter surveys the development of cryptographic systems from transposition ciphers to post-quantum cryptography, examining their mathematical foundations, operational mechanisms, and respective security properties. In addition to these, the PQC algorithms have been implemented in TLS 1.3, and a comparative analysis has been performed. The study traces the history of cryptography while understanding post-quantum standards as the necessary foundation for long-term information security in the quantum era.
The advent of quantum computing poses a paradigm-shifting threat to classical cryptographic systems that underpin global digital security. As quantum processors advance towards practical scalability, previously secure encryption schemesparticularly those based on integer factorization (e.g., RSA) and discrete logarithm problems (e.g., ECC and DH)-are rendered vulnerable due to quantum algorithms like Shor's and Grover's. This paper critically examines the implications of quantum computing for contemporary cryptographic frameworks and explores the urgent need to transition toward quantum-resistant alternatives. We begin by analyzing the computational capabilities of quantum systems and their impact on symmetric and asymmetric cryptographic algorithms. The study delves into the principles of postquantum cryptography (PQC), including lattice-based, hash-based, code-based, multivariate polynomial, and supersingular isogeny cryptography, evaluating their strengths, implementation challenges, and resistance to quantum attacks. Additionally, we assess ongoing global initiatives such as NIST's post-quantum cryptography standardization project, highlighting their role in shaping future security infrastructures. The paper also considers hybrid cryptographic models and quantum key distribution (QKD) as transitional and long-term security strategies. By rethinking security from both theoretical and practical standpoints, this study emphasizes the need for immediate and collaborative action across academia, industry, and government sectors to future-proof digital communication systems against the looming quantum threat.