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Springer eBooks

Post-Quantum Cryptography

Steven D. Galbraith⋆

Published Dec 1, 2025• 0 citations
Publisher

Abstract

Abstract Large-scale and error-tolerant quantum computers will break the currently used tools for enabling confidentiality and integrity on the internet and elsewhere. It has been recognized for the last 10 years that there is an urgent need to develop cryptosystems that can withstand an attacker in the future with a quantum computer. Post-quantum cryptography (PQC), also sometimes known as quantum-resistant cryptography or quantum safe cryptography, means cryptographic algorithms that can run on today’s computers and networks and yet be secure against attackers in the future who have large-scale and error-tolerant quantum computers. This chapter will argue that post-quantum cryptography is more practical and trusted for most real-world systems than quantum key distribution (QKD). The purpose of this chapter is to put cryptography into the broader context of cybersecurity, to briefly explain the threats and risks associated with quantum computing, and to give a nontechnical overview of the post-quantum cryptosystems that are available now.

DOI
10.1007/978-3-031-90727-2_14

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Abstract Large-scale and error-tolerant quantum computers will break the currently used tools for enabling confidentiality and integrity on the internet and elsewhere. It has been recognized for the last 10 years that there is an urgent need to develop cryptosystems that can withstand an attacker in the future with a quantum computer. Post-quantum cryptography (PQC), also sometimes known as quantum-resistant cryptography or quantum safe cryptography, means cryptographic algorithms that can run on today’s computers and networks and yet be secure against attackers in the future who have large-scale and error-tolerant quantum computers. This chapter will argue that post-quantum cryptography is more practical and trusted for most real-world systems than quantum key distribution (QKD). The purpose of this chapter is to put cryptography into the broader context of cybersecurity, to briefly explain the threats and risks associated with quantum computing, and to give a nontechnical overview of the post-quantum cryptosystems that are available now.
The paper proposes strategic steps that organizations can take to future-proof their security architecture against quantum threats for the security of data integrity and confidentiality in the post-quantum era. it is a very threat that quantum computing is advancing too fast, and the classical cryptographic systems will be in danger. Therefore, we need to modify the methods of cryptography in Quantum- Safe Cryptography. In this paper, we focus on exposing the vulnerabilities of existing public-key cryptosystems faced with quantum attacks and the direction of the post-quantum cryptographic (PQC) algorithm in securing the underlain infrastructure. The paper discusses ongoing efforts to standardize cryptosystems led by the National Institute of Standards and Technology (NIST). It overviews several quantum-resistant cryptographic techniques: lattice-based, hash-based, and code-based examples. Moreover, the paper also outlines difficulties in implementing quantum-safe cryptography solutions into currently in-place cybersecurity frameworks, especially in the finance, healthcare, and critical infrastructure industries.
The paper proposes strategic steps that organizations can take to future-proof their security architecture against quantum threats for the security of data integrity and confidentiality in the post-quantum era. it is a very threat that quantum computing is advancing too fast, and the classical cryptographic systems will be in danger. Therefore, we need to modify the methods of cryptography in Quantum-Safe Cryptography. In this paper, we focus on exposing the vulnerabilities of existing public-key cryptosystems faced with quantum attacks and the direction of the post-quantum cryptographic (PQC) algorithm in securing the underlain infrastructure. The paper discusses ongoing efforts to standardize cryptosystems led by the National Institute of Standards and Technology (NIST). It overviews several quantum-resistant cryptographic techniques: lattice-based, hash-based, and code-based examples. Moreover, the paper also outlines difficulties in implementing quantum-safe cryptography solutions into currently in-place cybersecurity frameworks, especially in the finance, healthcare, and critical infrastructure industries.
Quantum computing poses a significant threat to existing cryptosystems, as Shor's and Grover's algorithms efficiently solve the underlying mathematical problems of classical cryptographic algorithms. Post-Quantum Cryptography (PQC) provides a proactive response to this emerging threat, enabling resilience against quantum attacks. Researchers have extensively explored various mathematical structures believed to be resilient against quantum attacks across several PQC families. The NIST PQC standardisation project demonstrates the global need to integrate PQC into existing digital systems, even before the quantum era. Practical use cases of PQC schemes in various areas, along with the associated challenges, have been thoroughly studied to understand future research directions that must be followed for the better optimisation of real-world PQC implementation in a quantum-safe future.
Quantum-safe cryptography is the term that specifies cryptographic methods secured against the threats of quantum computing. Among them are Quantum Key Distribution, which provides information-theoretic security, and Post-Quantum Cryptography, which provides scalable authentication in high-density networks but lacks the same level of theoretical security as the former. In this context, a hybrid cryptosystem that integrally combines QKD and PQC should be created to build a robust quantum-safe system. Moreover, in blockchain technology and machine learning models, quantum algorithms play an important role by improving encryption and key generation. Quantum-safe cryptography represents an important step toward the future-proofing of digital communications and systems
Classical cryptography systems are vulnerable to quantum computing because they depend on computationally tough issues, such as solving discrete logarithms or factoring big integers. Cryptography in the age of quantum computing has new challenges and opportunities. Post-quantum cryptography (PQC) aims to address these issues by developing algorithms that are resistant to quantum computing, including code-based, hash-based, and lattice-based cryptography. The study sheds light on how PQC can tackle future cybersecurity risks by examining their security models, performance, and suitability for real-world implementation. The article also delves into the difficulties of updating the world's cryptographic infrastructure to use algorithms that are immune to quantum attacks, as well as the present status of PQC standardization initiatives. Protecting digital systems from possible breaches and guaranteeing long-term data security will be the deployment of PQC that is most important as quantum computing develops.
With the rapid advancement of quantum computing, traditional cryptographic algorithms are at risk of becoming obsolete. Post-quantum cryptography (PQC) is an emerging field focused on developing cryptographic algorithms that can withstand quantum attacks. This paper explores the vulnerabilities of current encryption methods, the need for quantum-resistant cryptographic techniques, and the latest advancements in post-quantum cryptography. It also discusses the challenges in implementing these new cryptographic solutions and their implications for cybersecurity in the quantum era.