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International Conference Education and Creativity for a Knowledge-based Society – Informatics

QUANTUM COMPUTING AND POST-QUANTUM CRYPTOGRAPHY

Bogdan Alexandrescu

Published Jun 11, 2026• 0 citations
Publisher

Abstract

Quantum computing is one of the most significant technological revolutions in the 21st century. Its ability to compute complicated mathematical equations exponentially higher than classical computers poses a risk of becoming outdated to the present cryptographic systems. RSA and Elliptic Curve Cryptography (ECC)-based public key infrastructures are especially susceptible to the Shor algorithm that is capable of factoring large integers and calculating discrete logarithms on a sufficiently large quantum computer. The paper will discuss the principles of quantum computation and their applications in cryptography, as well as a new branch of cryptography, post-quantum cryptography (PQC). It discusses fabrics of key algorithmic contenders, the implementation issues, and the worldwide move to quantum resilient systems. The paper finds that hybrid encryption models, international standardization, and ethical governance are the key elements to achieving the digital future in the quantum era.

DOI
10.66793/titui19proceeding12

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Quantum computing is one of the most significant technological revolutions in the 21st century. Its ability to compute complicated mathematical equations exponentially higher than classical computers poses a risk of becoming outdated to the present cryptographic systems. RSA and Elliptic Curve Cryptography (ECC)-based public key infrastructures are especially susceptible to the Shor algorithm that is capable of factoring large integers and calculating discrete logarithms on a sufficiently large quantum computer. The paper will discuss the principles of quantum computation and their applications in cryptography, as well as a new branch of cryptography, post-quantum cryptography (PQC). It discusses fabrics of key algorithmic contenders, the implementation issues, and the worldwide move to quantum resilient systems. The paper finds that hybrid encryption models, international standardization, and ethical governance are the key elements to achieving the digital future in the quantum era.
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.
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.
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 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.
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.
The introduction of quantum computers is moving fast and one issue that should nt be overlooked is that they would be capable of breaking modern cryptographic systems easily. This scenario is likely to become real because with the help of Shor's algorithm they could break the only widely used public-key systems (e.g. RSA and ECC) which would mean that the security of internet communications,digital signaturesand sensitive stored data could be compromised. Even if post-quantum cryptography (PQC) is the right direction of development, there are many problems with it like low performance, complex implementation plans, complicated migration approaches and uncertain security eventually. This paper highlights the risk that quantum computers pose to current encryptions and gives an overview of the top PQC solutions that have been standardized by NIST. It also pinpoints the main problems that are still unsolved and offers practical strategies for mitigating the risk in this area. Based on an extensive review of literature and a computational experiment on hybrid key exchange, the article points out that hybrid approaches are the most efficient ones, cryptographic agility is necessary, and migration should be phased, these measures are aimed at making the transition to the post-quantum era safe and smooth.