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`Cadernos de Pós-Graduação em Direito Político e Econômico

Post-Quantum Cryptography: Addressing the Future Threats to Cybersecurity

Dr. Nikolai A. Petrov

Published Apr 15, 2026• 0 citations
OpenAlex

Abstract

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.

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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.
As the digital era advances, secure communication becomes increasingly critical in safeguarding sensitive information from cyber threats. With the advent of quantum computing, traditional cryptographic systems, which rely on the computational difficulty of certain mathematical problems, are at risk of being compromised. This article explores the emerging field of post-quantum cryptography (PQC) and its pivotal role in advancing secure communications in the age of quantum computing. PQC aims to develop cryptographic algorithms that are resistant to the capabilities of quantum computers, ensuring the confidentiality and integrity of digital communications. We examine the theoretical foundations of PQC, the various cryptographic algorithms being explored, and their practical implications for industries ranging from finance and healthcare to national security. The article also discusses the challenges and opportunities in transitioning from classical cryptographic systems to post-quantum solutions, including issues related to standardization, implementation, and scalability. As quantum computing continues to evolve, the integration of PQC represents a critical step in fortifying the security infrastructure of the future, safeguarding global digital communications from the threats posed by quantum-enabled adversaries.
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.
Traditional cryptographic systems that are based on algorithms such as RSA, ECC, and DH are becoming increasingly vulnerable to quantum-based attacks. This is especially the case attributable to algorithms such as Shor’s, which are able to factor large integers and solve discrete logarithms in an efficient manner. There has been a rapid advancement in quantum computing. There is a significant risk to the integrity, confidentiality, and security of the data that a result of this. Cryptographic algorithms that are immune to both classical and quantum attacks are the goal of post-quantum cryptography, often known as PQC. The purpose of this study is to investigate a variety of post-quantum algorithms, including lattice-based, hash-based, code-based, multivariate, and isogeny-based cryptography, and to evaluate the possibility of these algorithms to successfully defend against future quantum attacks. Within the context of real-world applications, we dissect the security assumptions, performance indicators, and issues that these algorithms present. In addition to this, we investigate the current efforts that are being made to standardize PQC through projects such as the NIST post-quantum cryptography work. In order to ensure the safety of data over the long term, this study offers some insights into the process of developing cryptographic methods that are durable in preparation for the era of quantum computing.
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.
The emergence of quantum computing is set to reshape the landscape of cybersecurity, presenting a blend of significant challenges and groundbreaking opportunities. This paper delves into the growing risks tied to quantum technologies, with a particular focus on post-quantum cryptography (PQC) and the threats posed by the possible obsolescence of traditional cryptographic methods. As quantum computing capabilities advance at a rapid pace, the need for the development of quantum-resistant security protocols has become more urgent than ever. This research investigates the vulnerabilities of current cryptographic systems, the potential dangers posed by quantum computing, and the solutions already available in the field of post-quantum cryptography. Furthermore, the paper outlines a comprehensive framework for cybersecurity solutions that are resilient to future quantum threats, emphasizing the importance of collaboration across academic, industrial, and governmental sectors. By reviewing current literature and technological developments, this paper provides a roadmap for transitioning to quantum-safe security practices, addressing the risks brought on by quantum advancements, and ensuring that critical infrastructure is well-defended against quantum-driven attacks. The findings indicate that while quantum computing introduces profound risks to traditional cybersecurity systems, a proactive, strategic adoption of PQC solutions can effectively protect vital infrastructure in the post-quantum age.
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.