Every year, the production of quantum computers is becoming more productive and cheaper - for example, “The Tsuchongzi” computer uses 56 qubits and is able to solve problems that highlight the possibility of quantum acceleration within a few hours, while classical supercomputers require tens of thousands of years. Currently, IBM allows any Internet user to remotely connect and work on a real quantum computer, albeit with a power of several qubits. Modern cryptography is based on the fact that it is difficult to carry out factorization of integers or discrete logarithm by classical algorithms. But with the use of Shor's algorithm on a quantum computer, these difficulties are easily bypassed. Some of the most popular cryptographic systems - RSA (integer factorization), DH (discrete logarithm), and ECDSA (elliptic curves over finite fields) - will no longer be a reliable tool for data encryption with the advent of productive quantum computers. In this article, post-quantum cryptographic systems are studied and compared with the classical RSA system.
Every year, the production of quantum computers is becoming more productive and cheaper - for example, “The Tsuchongzi” computer uses 56 qubits and is able to solve problems that highlight the possibility of quantum acceleration within a few hours, while classical supercomputers require tens of thousands of years. Currently, IBM allows any Internet user to remotely connect and work on a real quantum computer, albeit with a power of several qubits. Modern cryptography is based on the fact that it is difficult to carry out factorization of integers or discrete logarithm by classical algorithms. But with the use of Shor's algorithm on a quantum computer, these difficulties are easily bypassed. Some of the most popular cryptographic systems - RSA (integer factorization), DH (discrete logarithm), and ECDSA (elliptic curves over finite fields) - will no longer be a reliable tool for data encryption with the advent of productive quantum computers. In this article, post-quantum cryptographic systems are studied and compared with the classical RSA system.
Quantum computing is poised to revolutionize numerous sectors, with cryptographic security identified as one of the most critically affected domains. For instance, Elliptic Curve Cryptography (ECC) and RSA, two traditional encryption techniques, rely on the computational difficulty of integer factorization and discrete logarithms. Nevertheless, quantum algorithms, particularly Shor's algorithm, which jeopardizes the security of existing cryptographic systems, may be able to address these problems successfully. This discovery necessitates the development of cryptographic techniques that are impervious to quantum attacks. The study of post-quantum cryptography (PQC), which includes hash-based, lattice-based, and other quantum-resistant algorithms, is becoming essential to ensuring the long-term confidentiality and integrity of data. This paper explores the basic concepts of quantum computing, their relationship to cryptographic privacy, and potential solutions for the associated security problems in the quantum age.
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 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 emergence of quantum computing poses significant challenges and opportunities in the realm of cryptography. Traditional cryptographic algorithms, such as RSA and ECC (Elliptic Curve Cryptography), rely on the computational difficulty of certain mathematical problems, like factoring large integers and solving discrete logarithms. However, quantum computers leverage quantum mechanics to solve these problems in polynomial time, which could render many of today’s encryption techniques obsolete. This article examines the potential impact of quantum computing on modern cryptographic algorithms and explores quantum-safe cryptography alternatives that are being developed to withstand quantum attacks. We also discuss the readiness of quantum computers for real-world applications, their current limitations, and the future directions of quantum cryptography research.
A quantum computer can destroy most, if not all, of the traditional cryptosystems used in practice, namely, all the systems on the basis of the integer factorization problem (e. g. RSA) or the discrete logarithm problem (both traditional and elliptic curve Diffie-Hellman and DSA, and the whole cryptography based on the pairing). Some classic cryptosystems based on computationally difficult problems are very different from the above and more difficult to solve, they are independent of the quantum computation. In this paper, a review of methods of information security based on quantum and post-quantum technologies was carried out. For each of the methods of information security based on quantum technologies are the advantages and disadvantages. Describes the system of post-quantum cryptography based on lattice theory. The results of the survey allow to formalize the direction of future research of post-quantum methods and development of new effective information security systems using quantum technologies.
As the development of quantum computing systems advances, the integrity of current public-key and symmetrickey cryptographic systems, such as RSA, ECC, and AES, faces unprecedented threats.These systems rely on mathematical problems like integer factorization and discrete logarithms, which quantum algorithms like Shor's can solve exponentially faster than classical ones.This review examines the vulnerability of widely used cryptographic systems and evaluates how close quantum hardware is to breaching real-world encryption.It also discusses the development of post-quantum cryptographic algorithms, specifically lattice-based, code-based, and multivariate polynomial systems designed to resist quantum attacks.This paper will also assess the strengths, limitations, and standardization progress of these post-quantum solutions to provide an understanding of the modern cryptographic landscape.