Quantum computing is a distinct field of computational science that uses principles from quantum mechanics to tackle problems that traditional computing struggles with in speed, size, and complexity. Classical cryptography relies on the complexity of mathematical problems such as large-number factorization, but quantum systems can solve them much faster. This threat necessitates the development and implementation of cryptographic methods resistant to attacks from both classical and quantum systems, known as Post-Quantum Cryptography (PQC). Strong cryptographic algorithms are crucial to counter vulnerabilities in pre-quantum systems. This paper reviews the challenges and solutions for securing communication amid advances in quantum computing. It stresses the urgent need to shift from classical cryptographic systems, which are susceptible to quantum threats, to PQC. The discussion includes theoretical frameworks and practical implementations, covering quantum principles, Quantum Key Distribution (QKD), and standard PQC algorithms. Additionally, it briefly introduces Number Theoretic Transform (NTT) concepts, which enhance polynomial multiplication speed—an essential operation in PQC—by reducing computational complexity from O( n 2 ) to O( nlogn ) . The paper demonstrates the NTT/Inverse Number Theoretic Transform (INTT) hardware core in Python, focusing on its application to ML-KEM Polynomial arithmetic. Results indicate that NTT outperforms INTT in execution time and throughput. The paper concludes with an overview of security assumptions, cryptanalysis, and the current status of standardization.
Quantum computing is a distinct field of computational science that uses principles from quantum mechanics to tackle problems that traditional computing struggles with in speed, size, and complexity. Classical cryptography relies on the complexity of mathematical problems such as large-number factorization, but quantum systems can solve them much faster. This threat necessitates the development and implementation of cryptographic methods resistant to attacks from both classical and quantum systems, known as Post-Quantum Cryptography (PQC). Strong cryptographic algorithms are crucial to counter vulnerabilities in pre-quantum systems. This paper reviews the challenges and solutions for securing communication amid advances in quantum computing. It stresses the urgent need to shift from classical cryptographic systems, which are susceptible to quantum threats, to PQC. The discussion includes theoretical frameworks and practical implementations, covering quantum principles, Quantum Key Distribution (QKD), and standard PQC algorithms. Additionally, it briefly introduces Number Theoretic Transform (NTT) concepts, which enhance polynomial multiplication speed—an essential operation in PQC—by reducing computational complexity from O( n 2 ) to O( nlogn ) . The paper demonstrates the NTT/Inverse Number Theoretic Transform (INTT) hardware core in Python, focusing on its application to ML-KEM Polynomial arithmetic. Results indicate that NTT outperforms INTT in execution time and throughput. The paper concludes with an overview of security assumptions, cryptanalysis, and the current status of standardization.
With the constantly advancing capabilities of quantum computers, conventional cryptographic systems relying on complex math problems may encounter unforeseen vulnerabilities. Unlike regular computers, which are often deemed cost-ineffective in cryptographic attacks, quantum computers have a significant advantage in calculation speed. This distinction potentially makes currently used algorithms less secure or even completely vulnerable, compelling the exploration of post-quantum cryptography (PQC) as the most reasonable solution to quantum threats. This review aims to provide current information on applications, benefits, and challenges associated with the PQC. The review employs a systematic scoping review with the scope restricted to the years 2022 and 2023; only articles that were published in scientific journals were used in this paper. The review examined the articles on the applications of quantum computing in various spheres. However, the scope of this paper was restricted to the domain of the PQC because most of the analyzed articles featured this field. Subsequently, the paper is analyzing various PQC algorithms, including lattice-based, hash-based, code-based, multivariate polynomial, and isogeny-based cryptography. Each algorithm is being judged based on its potential applications, robustness, and challenges. All the analyzed algorithms are promising for the post-quantum era in such applications as digital signatures, communication channels, and IoT. Moreover, some of the algorithms are already implemented in the spheres of banking transactions, communication, and intellectual property. Meanwhile, despite their potential, these algorithms face serious challenges since they lack standardization, require vast amounts of storage and computation power, and might have unknown vulnerabilities that can be discovered only with years of cryptanalysis. This overview aims to give a basic understanding of the current state of post-quantum cryptography with its applications and challenges. As the world enters the quantum era, this review not only shows the need for strong security methods that can resist quantum attacks but also presents an optimistic outlook on the future of secure communications, guided by advancements in quantum technology. By bridging the gap between theoretical research and practical implementation, this paper aims to inspire further innovation and collaboration in the field.
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.
The increasing advancement in quantum computing threatens the security of traditional cryptographic systems that underpin much of the modern world’s data protection. These systems rely heavily on the computational difficulty of problems like integer factorization (RSA) and elliptic curve discrete logarithms (ECC), which quantum computers could solve in polynomial time. As a result, there is an urgent need for cryptographic systems that remain secure even in the presence of quantum capabilities. Post-Quantum Cryptography (PQC) is the emerging field that aims to develop cryptographic protocols resistant to quantum-based attacks. This paper discusses the need for PQC, explores various candidate algorithms, reviews standardization efforts, and looks at the current challenges and future directions in the field.
Quantum computing holds an enormous power to transform cryptography because it protects secured communication. RSA together with elliptic curve cryptography functions based on mathematical challenges like integer factorization and discrete logarithms until quantum computers present security risks to these traditional systems. Such problems become solvable with efficiency through Shor's algorithm running on quantum computers which threatens the security of multiple widely used cryptographic protocols. The document examines quantum computing effects on cryptography to explain why quantum algorithms break classic cryptographic system security. Post-quantum cryptography (PQC) acts as a protective solution against quantum-based attacks through its mission to create cryptographic techniques which demonstrate quantum attack resilience. This paper examines quantum-age security design protocols for cryptographic keys using both quantum key distribution and lattice-based cryptography and hash-based cryptography and multivariate polynomial cryptography. The research analyzes the effectiveness and protective capability of new PQC solutions by connecting theoretical concepts with practical applications. The study points out advancements in quantum cryptography as well as the quantum hardware obstacles and the global initiative to establish post-quantum algorithms standards. The authors stress the urgent need for up-to-date quantum-resistant measures because of swift quantum technology progress. The protection of sensitive materials and communications networks from destructive quantum computing threats requires immediate focus because this need drives the necessity of properly preparing for post-quantum cryptography.
Cryptography is an art of hiding the significant data or information with some other codes. It is a practice and study of securing information and communication. Thus, cryptography prevents third party intervention over the data communication. The cryptography technology transforms the data into some other form to enhance security and robustness against the attacks. The thrust of enhancing the security among data transfer has been emerged ever since the need of Artificial Intelligence field came into a market. Therefore, modern way of computing cryptographic algorithm came into practice such as AES, 3DES, RSA, Diffie-Hellman and ECC. These public-key encryption techniques now in use are based on challenging discrete logarithms for elliptic curves and complex factorization. However, those two difficult problems can be effectively solved with the help of sufficient large-scale quantum computer. The Post Quantum Cryptography (PQC) aims to deal with an attacker who has a large-scale quantum computer. Therefore, it is essential to build a robust and secure cryptography algorithm against most vulnerable pre-quantum cryptography methods. That is called ‘Post Quantum Cryptography’. Therefore, the present crypto system needs to propose encryption key and signature size is very large.in addition to careful prediction of encryption/decryption time and amount of traffic over the communication wire is required. The post-quantum cryptography (PQC) article discusses different families of post-quantum cryptosystems, analyses the current status of the National Institute of Standards and Technology (NIST) post-quantum cryptography standardisation process, and looks at the difficulties faced by the PQC community.
Quantum computing is poised to revolutionize numerous fields, including cryptography. Traditional encryption algorithms that form the backbone of modern digital security, such as RSA and Elliptic Curve Cryptography (ECC), rely on computationally difficult problems—specifically, the factorization of large integers and the solving of discrete logarithms. However, quantum computers, leveraging the principles of quantum mechanics, present the potential to solve these problems in polynomial time through algorithms like Shor’s Algorithm, rendering these encryption methods insecure. The development of sufficiently powerful quantum computers could therefore undermine the confidentiality and integrity of sensitive digital information across the internet. This paper explores the threats posed by quantum computing to traditional cryptographic systems, with a focus on the impact of Shor’s Algorithm and Grover’s Algorithm. In addition, the paper reviews ongoing efforts to develop quantum-resistant cryptographic techniques, particularly in the area of post-quantum cryptography (PQC). It discusses the NIST Post-Quantum Cryptography Standardization project, the promising alternatives to current encryption schemes, and the potential for quantum key distribution (QKD) as a solution. The paper concludes with a reflection on the urgent need to prepare for quantum computing's eventual impact on digital security and the steps that can be taken to mitigate these risks in the transition to quantum-safe cryptography.