The computers that exist throughout the world today, rely on two values, 0 and 1 to work and run. Quantum computers, on the other hand, uses qubits which are quantum objects that can be in either a 0 or 1 state, or even a superposition of 0 and 1 state. Quantum computers do not necessarily make traditional computer algorithms run faster, but rather lets us come up with new algorithms specifically for quantum computers that will be faster than traditional computers. Quantum computer algorithms are designed to make full use of superpositional states. These quantum computers will be able to break commonly used public key cryptosystems such as RSA, DSA, and other practical ones as well. Some physicists predict that quantum computers will become powerful enough in the next 10 years to break these existing public key cryptosystems. As a result, a new field of research in post quantum cryptography is on the rise. One of the most well known and researched post-quantum cryptography schemes are ones that revolved around lattices.
The computers that exist throughout the world today, rely on two values, 0 and 1 to work and run. Quantum computers, on the other hand, uses qubits which are quantum objects that can be in either a 0 or 1 state, or even a superposition of 0 and 1 state. Quantum computers do not necessarily make traditional computer algorithms run faster, but rather lets us come up with new algorithms specifically for quantum computers that will be faster than traditional computers. Quantum computer algorithms are designed to make full use of superpositional states. These quantum computers will be able to break commonly used public key cryptosystems such as RSA, DSA, and other practical ones as well. Some physicists predict that quantum computers will become powerful enough in the next 10 years to break these existing public key cryptosystems. As a result, a new field of research in post quantum cryptography is on the rise. One of the most well known and researched post-quantum cryptography schemes are ones that revolved around lattices.
In today’s digital world, most of our personal, financial, and health data is stored online. This makes cybersecurity extremely important — but also more challenging. Recent cyberattacks like the one on Australia’s MediSecure show how weak security can lead to huge losses. Now, a new risk is emerging: quantum computers. These work very differently from classical computers and can break the encryption methods (like RSA and AES) that we currently use to protect online data. This paper explains how cryptography works, what types exist (symmetric and asymmetric), and why current systems may not survive in a world where quantum computers are common. It introduces powerful quantum algorithms like Shor’s and Grover’s, which can break RSA and weaken AES much faster using quantum computers than any normal computers. This shows the power of quantum computers. These developments have pushed scientists to create new encryption systems called Post-Quantum Cryptography (PQC), which are built to resist quantum attacks but still run on regular devices. The paper also explores how quantum computing is evolving — from early research in the 1980s to real working processors today — and how countries and companies are investing in this technology. It suggests that in the future, people may access quantum computers over the cloud, rather than owning them. Finally, this research shows that the rise of quantum computing is both a threat and an opportunity. It challenges us to update our security systems, but it also opens the door for new startups and careers in quantum-safe cybersecurity.
Objective: Quantum algorithm are stronger and more secure than the classical computers not because they run on faster harder computers but also, they require fewer steps. With Quantum computers the attackers have high computing power and with quantum algorithm can easily break the cryptographic system. Lattice is regularly spaced grid of points stretching to infinity. Quantum safe security algorithms are resistant to both attacks caused by classical computers and the attack caused by quantum computers. Lattice based cryptography are the post quantum cryptographic standards which are resistant to the attacks from quantum computers hence has advantage of strong security and high efficiency. The main objective of the paper is to study lattice, lattice properties, lattice – based cryptographic algorithm to design new lattice based cryptographic algorithm which are quantum resistant in future. Methods: In this paper the lattice-based cryptography is discussed right from its seminal work to its efficient cryptographic schemes. Paper discusses what is lattice, lattice properties, lattice problem and algorithmic solution to lattice problem and lattice-based cryptography. Findings: After studying post quantum cryptographic algorithms using lattice it was found that lattice-based post quantum cryptographic algorithms are resistant to quantum computer attacks. Novelty: Paper discusses lattice, properties of lattice in a simple way. Widely used cryptographic algorithms like RSA, Diffie-Hellman Key exchange, Elliptic Curve Cryptography are not resistant to quantum computers attacks. Paper discusses the importance of post quantum algorithm using lattice that are resistant to quantum computer attacks.
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 rise of quantum computing poses a serious threat to traditional cryptosystems, such as RSA and ECC, which rely on the mathematical problem of factoring large numbers and dealing with discrete logarithms Quantum algorithms such as Shor and Grover can solve solve these problems effectively, so that classical The encryption is simple. This research addresses the urgent need for quantum-resistant cryptographic algorithms to protect next-generation networks, including 5G, IoT, and cloud computing, from future quantum attacks. The main objective of this study is to investigate the efficiency and scalability of quantum post-cryptography techniques, especially lattice-based cryptography, and to evaluate their performance in comparison with traditional cryptography and other post-quantum techniques. It also provides robust protection against quantum attacks and reasonable scalability to large networks, while delivering large key size requirements, low connectivity and excess capacity. The study concludes that lattice-based cryptography is an appropriate solution that balances quantum resistance with practical performance in real-world applications to ensure secure communications in the post-quantum era.
New developments in quantum computing have made people worry that current security methods could be broken by quantum attacks. Some mathematical problems are hard to solve, which is how traditional encryption methods like RSA and ECC keep their secrets safe. However, quantum computers might be able to solve these issues a lot faster than regular computers, which makes these methods less safe. Because of this threat, experts have been working hard to make post-quantum cryptography methods that quantum computers can't break. These methods are made to stand up to the strength of quantum algorithms and protect the privacy, integrity, and validity of private data even when quantum attackers are present. Lattice-based cryptography is a potential method for post-quantum encryption. Its security comes from the difficulty of certain lattice problems. Lattice-based methods are thought to be safe from threats from both traditional and quantum computers because they offer good security promises. Lattice-based cryptography is a flexible way to build different types of cryptographic primitives, like encryption, digital signatures, and key sharing protocols. The study of code-based cryptography, which is based on how hard it is to decode some error-correcting codes, is another important advance. Code-based methods have been around for a long time and have been studied a lot, which makes them a good choice for security after quantum computing. Code-based cryptography is also easy to use and has strong security features, which makes it a good choice for real-world situations. Multivariate polynomial cryptography is another possible choice for cryptography after quantum computing. The safety of this method depends on how hard it is to solve systems of multivariate polynomial problems. Multivariate polynomial methods might not be as secure as lattice-based or code-based cryptography, but they are interesting options for some situations and places with limited resources.
The present knowledge we had in quantum computer and the most possible architecture of a quantum computer might be able to break RSA 2048 in future. In classical computer two bits represents any one of four bit information whereas in quantum due to superposition it can be represent all four states. For ‘n’ qubits system is analogous to 2n classical bits. Quantum teleportation, quantum entanglement and other makes it possible to break present cryptosystem. Shor’s Algorithm is used for integer factorization which is polynomial time for quantum computer. This can be threat for RSA security. In this paper matlab implementation of Shor’s algorithm is presented. Used classical way for getting period of function because classical computers not engage quantum phenomena. As numbers of iterations grow, probability of getting exact factor of ‘n’ acutely increased. This paper also discusses popular methods for making qubits like Silicon based Qubits in which electron is put inside nano material which is used as a transistor. In Superconducting circuit method insulator is used as a sandwich in between two metal layers. Used by Google, IBM, Intel, Microsoft. In Flux qubits method very small size loop of superconducting metal is used. This paper also discusses Quantum Proof Algorithm like Lattice-based cryptography used concept of good and bad base. In Learning with errors method if we have more equation then variable, it is over defined system. In Code based cryptography some matrixes allow for efficient error correction (good matrix) but most matrix’s does not (bad matrix) concept is used. In Hash based signatures scheme have long signatures or keys, but they are secure. Also discuss Multivariate Quantum proof algorithm. The abstract should contain maximum of 300 words. No abbreviation should be mentioned in the abstract. Give a brief summary of your research work.