There is an urgent threat of massive computerised systems that promote the active shift in the strategy of digital fraction of communications and data protection. This chapter examines a relatively difficult and rapidly advancing field of Post-Quantum Cryptography (PQC) that deals with the design of new primitive cryptology resistant to even the most challenging, such as Shor and Grover, quantum algorithms. We also further investigate the most important families of PQCs undergoing standardisation and analysis, such as lattice-based, code-based, multivariate, and hash-based schemes, their expected mathematical security, and performance trade-off in terms of key size, computation cost, and resistance to side-channel attacks. Besides the underlying algorithms, we also consider the thorny circumstances along with the most significant instantaneous-first steps of effective global transition, procedures such as integration with the existing security mechanisms, secure management of the new PQC keys, and the thorny issue of hybrid solutions, which consist of a combination of PQC and existing classical methods. Finally, we look at the prospects of the research and have a discussion of the innovation; the entire problem of fully homomorphic encryption and zero-knowledge proofs on a quantum-safe system, as even today, the flexibility of cryptography and innovativeness are still required to ensure that information security is guaranteed in the long-term perspectives of the quantum-sensitive world.
There is an urgent threat of massive computerised systems that promote the active shift in the strategy of digital fraction of communications and data protection. This chapter examines a relatively difficult and rapidly advancing field of Post-Quantum Cryptography (PQC) that deals with the design of new primitive cryptology resistant to even the most challenging, such as Shor and Grover, quantum algorithms. We also further investigate the most important families of PQCs undergoing standardisation and analysis, such as lattice-based, code-based, multivariate, and hash-based schemes, their expected mathematical security, and performance trade-off in terms of key size, computation cost, and resistance to side-channel attacks. Besides the underlying algorithms, we also consider the thorny circumstances along with the most significant instantaneous-first steps of effective global transition, procedures such as integration with the existing security mechanisms, secure management of the new PQC keys, and the thorny issue of hybrid solutions, which consist of a combination of PQC and existing classical methods. Finally, we look at the prospects of the research and have a discussion of the innovation; the entire problem of fully homomorphic encryption and zero-knowledge proofs on a quantum-safe system, as even today, the flexibility of cryptography and innovativeness are still required to ensure that information security is guaranteed in the long-term perspectives of the quantum-sensitive world.
The emergence of quantum computing poses a serious threat to traditional communication systems, endangering the security of digital communications and critical infrastructure. Although existing cryptographic algorithms (such as RSA and ECC) rely on the inefficiency of computing large numbers or solving logarithm inequality problems, quantum algorithms (especially Shor's algorithm) can solve these problems efficiently. To mitigate this threat, the field of post-quantum cryptography (PQC) has emerged and focuses on developing cryptographic systems that are resilient to quantum attacks. The main techniques in PQC include lattice-based, hash-based, code-based, and multivariate polynomial cryptography. Lattice-based cryptography is the leading contender, providing high security and supporting good properties such as fully homomorphic encryption, but facing issues related to size and computational efficiency. Hash-based encryption enables strong digital signatures but has limitations. Code-based encryption based on error-correcting codes provides proof of security but requires small size. Multivariate polynomial cryptography has good performance but has drawbacks in some applications. While standardization efforts led by organizations such as NIST continue, PQC is at the forefront of protecting the digital future from the impact of quantum computing, ensuring the integrity and confidentiality of information in the post-quantum era.
The advent of quantum computing poses a significant threat to current cryptographic systems, particularly public-key algorithms such as RSA and ECC, which are vulnerable to quantum attacks like Shor's algorithm. Post-Quantum Cryptography (PQC) aims to develop and standardize quantum-resistant cryptographic algorithms to secure digital communications in the quantum era. This paper examines the current landscape of PQC, focusing on the evaluation and standardization efforts led by organizations such as the National Institute of Standards and Technology (NIST). We analyze the major families of quantum-resistant algorithms, including lattice-based, hash-based, code-based, multivariate, and isogeny-based cryptography, discussing their security guarantees, performance trade-offs, and implementation challenges. Furthermore, we review NIST's PQC standardization process, highlighting selected finalists and alternate candidates, and explore the ongoing transition challenges in adopting these algorithms across industries. Finally, we discuss future directions for PQC research, including hybrid cryptographic systems and the need for continued cryptanalysis to ensure long-term security. This work provides a comprehensive overview of the progress and challenges in deploying quantum-resistant cryptography to safeguard against emerging quantum threats.
Abstract It is viewed as revolutionary technology, offering incredible potential in terms of computing power within different scientific and industrial sectors. Quantum computers provide remarkable computing power; however, they also present significant security risks to existing public-key cryptography systems used to secure digital communication, online banking systems, government, medical applications, cloud computing systems, and IoT systems. Security of commonly used encryption schemes like RSA, DH, and ECC depends on mathematical problems that are impossible for classical computers to solve but can be easily resolved with the help of powerful enough quantum computers by using Shor’s algorithm. Furthermore, Grover’s algorithm makes exhaustive search attacks much faster, thus effectively lowering the security level of symmetric encryption schemes since it provides the speed-up for brute-force attacks. Post-Quantum Cryptography (PQC) turned out to be an effective and scalable method to protect digital data from attacks using quantum computing. In contrast to quantum cryptography, which requires a special quantum communication channel, PQC uses classical cryptographic algorithms that cannot be broken down by either classical or quantum computer due to certain mathematical problems. This research paper offers an extensive exploration of post-quantum cryptography through the analysis of the development of quantum computing, weaknesses of current cryptographic techniques, and mathematics behind quantum-resistant algorithms. Moreover, this paper explores the major classes of PQC techniques such as lattice-based, code-based, hash-based, multivariate, and isogeny-based cryptography and provides details about their security and application. Moreover, the report gives an overview of the NIST Post-Quantum Cryptography Standardization Project and analyzes recent standardizations of quantum-proof algorithms to be utilized in future digital infrastructures. Keywords: Post-Quantum Encryption, Quantum Security, Quantum-Proof Public-Key Cryptography, Lattice-Based Security Protocols, ML-KEM Key Encapsulation Mechanism, ML-DSA Digital Signature Algorithm, NIST Post-Quantum Cryptography, Contemporary Cybersecurity, Secure Communications, Cryptographic Algorithms.
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.
The rapid growth of quantum computing poses a critical threat to classical cryptographic systems. That is due in large part to the fact that they represent efficient solutions for some of the most challenging mathematical problems such as integer factoring or finding discrete logarithms. Schemes currently in wide use including RSA, Diffie–Hellman, and elliptic curve cryptography are particularly susceptible to being attacked by quantum computers, using algorithms like Shor's Algorithm and Grover's Algorithm. The advent of post-quantum cryptography (PQC) provides a promising potential answer to providing longterm security from adversaries using quantum computing capabilities. This paper presents a comprehensive state-of-the-art review of various PQC techniques currently being researched, including lattice-based methods, code-based methods, multivariate methods, hash-based methods, and isogeny-based methods. key challenges that will need to be addressed include computational overhead, large key sizes and implementation complexity. Furthermore the study reviews the current standardization efforts by the National Institute of Standards and Technology related to PQC and discusses some of the very specific practical considerations that need to be considered before widely deploying these techniques. The paper concludes by a complete list of existing research challenges and proposed future work that will assist in the development of efficient and scalable systems that will resist attacks from quantum computers.
Quantum computing is rapidly advancing and threatens the cryptographic systems that secure digital communications. Classical cryptosystems, such as RSA and ECC, rely on mathematical problems that are difficult for classical computers but can be solved easily by quantum algorithms, such as Shor’s. This challenge underscores the pressing need for Post-Quantum Cryptography (PQC) to safeguard data against both classical and quantum threats. This study provides a comprehensive review of PQC Approaches in securing data against quantum threats by analyzing reviewed journals, conference proceedings, book chapters, and websites. Several researchers reviewed relevant literature published between 2019 and 2026 using the ACM Digital Library, Wiley Online Library, Taylor & Francis, Springer, ScienceDirect, MDPI, IEEE Xplore Digital Library, and Google Scholar. The review evaluates lattice-based, code-based, Hash-based, multivariate, and isogeny-based schemes across security strength, performance, interoperability, and deployment feasibility in heterogeneous environments, including cloud platforms and Internet of Things devices. The findings indicate that lattice-based schemes, particularly CRYSTALS-Kyber and CRYSTALS-Dilithium, currently offer the most balanced trade-off between efficiency and quantum resistance, while Hash-based schemes such as SPHINCS+ prioritize conservative security at notable performance cost. Code-based approaches, including McEliece, demonstrate strong long-term security but remain constrained by large key sizes. The review highlights implementation, energy, migration, and governance barriers that must be addressed before adoption. The review concludes by emphasizing that transitioning to PQC requires a collaborative effort from academia, industry, and government. Future research should focus on integrating lightweight PQC in IoT, 5G/6G, and cloud environments, as well as developing hybrid models that combine classical and quantum-safe systems. Addressing these issues is crucial for establishing secure data protection in the quantum era.