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Journal of Visualized Experiments

Efficient Quantum Algorithm for Post Quantum Cryptography

Aswini Kumar Mallick, Puspak Pain, Kunal Das, Tapas Laha, Sara Abdelwahab Ghorashi, Abdel‐Haleem Abdel‐Aty, Ali Jaber Almalki

Published Nov 14, 2025• 0 citations
Publisher

Abstract

The realization of Quantum computers could significantly affect society and global security in many ways. A considerable amount of research has been on quantum cryptography - machines that exploit quantum computerized sensations to solve mathematical problems inaccessible to conventional computers. The flourishing 6th generation of 'Quantum computing' can break and threaten much of the current established protection and digital economy, but may provide cryptographic alternatives. Thus, we are able to optimize various processes more effectively, improving efficiency and enabling faster quantum mechanical simulations for better drug and material design, among other applications. This research focuses on implementing a post-quantum cryptographic algorithm by connecting large-number Quantum multiplication with a quantum random number generator (QRNG). A code-based cryptographic approach using a Quantum Fourier Transformation (QFT) is taken with a giant asymmetric key in an explicit quantum circuit to establish a secure quantum communication system. In this research work, a 'plain text' (classical data) has been encrypted with QRNG using a Quantum multiplier with the aid of quantum arithmetic. Consequently, the resultant quantum data with QRNG data will be transmitted to the receiver end through the quantum channel, where the quantum divider decrypts the same. Furthermore, each intended component's IBM Qiskit simulation results and comparative analysis with previous works and algorithms suggest more robustness and reliability of the proposed quantum proof algorithm when considering large qubit quantum devices. The work provides a valuable direction for further developments in this domain and paves the way for future applications of quantum computing in post-quantum cryptography.

DOI
10.3791/68934

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The realization of Quantum computers could significantly affect society and global security in many ways. A considerable amount of research has been on quantum cryptography - machines that exploit quantum computerized sensations to solve mathematical problems inaccessible to conventional computers. The flourishing 6th generation of 'Quantum computing' can break and threaten much of the current established protection and digital economy, but may provide cryptographic alternatives. Thus, we are able to optimize various processes more effectively, improving efficiency and enabling faster quantum mechanical simulations for better drug and material design, among other applications. This research focuses on implementing a post-quantum cryptographic algorithm by connecting large-number Quantum multiplication with a quantum random number generator (QRNG). A code-based cryptographic approach using a Quantum Fourier Transformation (QFT) is taken with a giant asymmetric key in an explicit quantum circuit to establish a secure quantum communication system. In this research work, a 'plain text' (classical data) has been encrypted with QRNG using a Quantum multiplier with the aid of quantum arithmetic. Consequently, the resultant quantum data with QRNG data will be transmitted to the receiver end through the quantum channel, where the quantum divider decrypts the same. Furthermore, each intended component's IBM Qiskit simulation results and comparative analysis with previous works and algorithms suggest more robustness and reliability of the proposed quantum proof algorithm when considering large qubit quantum devices. The work provides a valuable direction for further developments in this domain and paves the way for future applications of quantum computing in post-quantum cryptography.
This paper explores the design of post-quantum cryptographic algorithms intended to secure data against attacks from future quantum computers. The core strategy involves transitioning away from algorithms reliant on the discrete logarithm problem, which is vulnerable to Shor's algorithm, and towards alternative approaches. These include hash-based cryptography, code-based cryptography, multivariate polynomial cryptography, and isogeny-based cryptography. We detail the mathematical foundations of these approaches, focusing on the security proofs and key generation/decryption processes. The design considerations for each category are outlined, along with the trade-offs between key sizes, performance, and security levels. This work aims to provide a comprehensive overview of the landscape of post-quantum cryptography and contribute to the development of robust algorithms for long-term data protection. The primary goal is to establish a framework for evaluating and selecting suitable post-quantum cryptographic solutions.
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.
In today’s world more and more electronic devices are connected through the channel “internet”. To secure these devices, designers rely on cryptographic standards that provide encryption, authentication and data-integrity. However, future advances in quantum computing threaten the security of these standards as they are predicted to break the underlying hard mathematical problems. It is therefore of the utmost importance to find new standards that are safe against quantum computers. The design and analysis of such quantum-safe algorithms is studied in the field of many post-quantum encryption schemes are subject to decryption failures. This means that even after a proper execution of the algorithm, there is a (very small) chance that the message or key is not transmitted correctly. It simply led like that decryption failures lead to a new attack vector in which failing cipher texts are assembled and used to reconstruct the secret key. To secure the connected devices and data the method of Post Quantum Cryptography will plays a vital role. Post Quantum Cryptography improves the security proof bound on decryption failure attacks.
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.
The growing threat of quantum computing to classical cryptographic systems such as RSA and ECC has led to an urgent need for post-quantum cryptographic (PQC) research and implementation. The base paper, “Quantum Computing in Cryptography”, identified a major research gap - the lack of practical implementation of post-quantum algorithms, emphasizing that most existing works remain at a theoretical level. Addressing this gap, we develop and execute a practical benchmarking framework that compares classical RSA and simulated post-quantum cryptographic algorithms. The implementation integrates automatic setup, execution, and visualization of key generation, encryption, and decryption operations for both classical and PQC schemes. Experimental results demonstrate that while RSA achieves faster computational performance, it becomes vulnerable to quantum computational attacks. Conversely, post-quantum algorithms, though more computationally demanding, exhibit strong resistance against such attacks. The performance analysis highlights the trade-off between speed and quantum resilience, confirming the practical viability of PQC for future-proof cryptographic systems. This work effectively bridges the theoretical–practical divide noted in the base paper by providing a concrete, implementable model for evaluating post-quantum cryptography under realistic computational conditions.
The advent of quantum computing poses a significant challenge to conventional cryptographic methods such as RSA, Elliptic Curve Cryptography (ECC), and Diffie-Hellman key exchange. Quantum algorithms, particularly Shor’s algorithm, have the potential to break these encryption techniques, making it essential to develop cryptographic approaches that can withstand quantum threats. Post-quantum cryptography (PQC) has emerged as a crucial area of research, aiming to establish cryptographic mechanisms that remain secure even in the presence of quantum adversaries. This study presents a detailed comparative analysis of five primary categories of quantum-resistant cryptographic algorithms: lattice-based, code-based, hash-based, multivariate polynomial, and isogeny-based encryption schemes. Each of these approaches offers distinct advantages and challenges in terms of security, efficiency, and implementation feasibility. Among them, lattice-based cryptography has gained significant attention due to its robust security properties and computational efficiency, making it a strong candidate for standardization. Conversely, code-based cryptography provides high security but is hindered by its large key sizes, affecting its practical deployment. The research includes a real-time performance assessment of selected PQC algorithms, analyzing key factors such as encryption speed, key size, and computational demands. Furthermore, the study examines the challenges associated with transitioning from classical encryption standards to quantum-resistant frameworks, including compatibility constraints, computational overhead, and the necessity for global standardization. Potential mitigation approaches, such as hybrid cryptographic techniques that integrate both classical and post-quantum encryption models, are also explored. Our findings emphasize that while quantum-resistant cryptography is still evolving, early adoption of PQC frameworks is essential for safeguarding future communication networks. This paper provides valuable insights for researchers, cybersecurity professionals, and policymakers on strategic measures to implement quantum-secure encryption systems effectively.