The hash functions have been at the center of the data security algorithms for the last two decades. However, with the emergence of quantum computing, conventional methods of data security are under review and scrutiny. At this juncture, the concept of quantum hash function comes to the rescue with its immensely important uses in the field of post quantum data security, especially in quantum key distribution. In this chapter we will present the theory behind quantum hash functions, followed by its uses for post quantum cryptography models, particularly for image data. The algorithms using quantum hash function are also discussed, along with their individual performance.
The hash functions have been at the center of the data security algorithms for the last two decades. However, with the emergence of quantum computing, conventional methods of data security are under review and scrutiny. At this juncture, the concept of quantum hash function comes to the rescue with its immensely important uses in the field of post quantum data security, especially in quantum key distribution. In this chapter we will present the theory behind quantum hash functions, followed by its uses for post quantum cryptography models, particularly for image data. The algorithms using quantum hash function are also discussed, along with their individual performance.
The rapid advancement of quantum computing technology presents a significant challenge to the field of cryptography, particularly affecting the security of hash functions that form the foundation of many cryptographic protocols. Hash functions are widely used to ensure data integrity, generate digital signatures, and securely store passwords. However, the emergence of quantum algorithms—such as Grover’s algorithm—threatens to undermine the security assumptions on which these hash functions are based by significantly reducing their effective security levels. This paper aims to provide a comprehensive analysis of the vulnerabilities introduced by quantum computing to traditional hash functions, detailing how these weaknesses can be exploited by quantum adversaries. We explore the fundamental properties of hash functions, including pre-image resistance, second pre-image resistance, and collision resistance, and assess how these properties are affected in a quantum context. Furthermore, we examine the implications of these vulnerabilities for existing cryptographic systems and emphasize the urgent need for the development of post-quantum cryptographic standards. In response to these challenges, we review ongoing research efforts focused on designing hash functions that are resilient to quantum attacks. We evaluate several promising candidates for post-quantum hash functions, considering their security properties, performance metrics, and practical applicability. The findings of this paper highlight the necessity of transitioning to post-quantum cryptographic solutions to safeguard sensitive information in an increasingly quantum-capable world. Ultimately, we advocate for proactive measures within the cryptographic community to adopt and implement these new standards, thereby ensuring robust data security in the age of quantum computing.
The advent of potential scalable and reliable quantum computing poses a serious threat to traditional integer factorization-based security protocols. An entirely new field of post-quantum cryptography has been developed to account for challenges of quantum computing that includes new approaches and algorithms to avoid susceptibility from quantum computers of sufficient capacity. As a sufficiently powerful quantum computer can put up a serious challenge to conventional encryption methods based on the difficulty of integer factorization or discrete logarithms, post-quantum cryptography involves several novel approaches such as Lattice-based cryptography, Multivariate cryptography, Hash-based cryptography, Code-based cryptography, Supersingular elliptic curve isogeny cryptography, and Symmetric key quantum resistance. In this chapter we present a wide survey of post-quantum methods as applied to image security. As the challenges offered by the post-quantum cryptography are an opportunity for the code breakers, the survey presented here includes an appraisal of the challenges and the opportunities offered by the emerging field of post-quantum cryptography from the perspective of image security. Current trends and future directions will also be referenced.
Quantum information and quantum computation have achieved a huge success during the last years. In this paper, we investigate the capability of quantum Hash function, which can be constructed by subtly modifying quantum walks, a famous quantum computation model. It is found that quantum Hash function can act as a hash function for the privacy amplification process of quantum key distribution systems with higher security. As a byproduct, quantum Hash function can also be used for pseudo-random number generation due to its inherent chaotic dynamics. Further we discuss the application of quantum Hash function to image encryption and propose a novel image encryption algorithm. Numerical simulations and performance comparisons show that quantum Hash function is eligible for privacy amplification in quantum key distribution, pseudo-random number generation and image encryption in terms of various hash tests and randomness tests. It extends the scope of application of quantum computation and quantum information.
The scientific article reviews and analyzes the current stage of cryptography development in the context of the inevitable post-quantum era. It is emphasized that post-quantum cryptography (PQC) is gaining the status of a key priority in the national security strategies of the world's leading developed countries, which are actively preparing for a fundamental transition to quantum-safe cryptographic practices. The consequence of the above is the urgent need for intensive development of the latest cryptographic algorithms, which by their nature will be resistant to attacks from powerful quantum computers. Today, several promising approaches to the creation of such quantum-safe algorithms based on various mathematical concepts and cryptographic primitives are already being actively studied. The article pays special attention to cryptography based on hash functions, which is considered one of the most promising areas in the context of developing reliable quantum-safe cryptographic tools. The potential for cracking cryptographic hash functions using quantum algorithms is analyzed. The article considers an original approach to assessing the quantum stability of hash functions, which consists in encoding the hash function itself in a quantum oracle, rather than its separate solution. A simplified (toy) hash function is used to clearly demonstrate the proposed idea. Based on the results of the experimental study, important conclusions are formulated, which indicate that quantum computers are indeed capable of significantly accelerating the process of inversion of cryptographic hash functions. This, in turn, provides strong grounds for serious concern about the cryptographic stability of various cryptographic primitives based on combinatorial problems. It is worth emphasizing that this problem is not limited to hash functions. This critically important observation means that to maintain a similar level of cryptographic security in the coming quantum era, the size of the input value of hash functions will likely need to be increased by at least half to compensate for the speedup provided by quantum algorithms.
Modern encryption methods are built upon the fundamentally “uncomfortable” process of computing huge integers to their primes. However, current cryptography is vulnerable to both increases in processing power and the emergence of quickly reversing huge integer factorization in mathematics. Therefore, incorporating quantum physics into encryption is the solution, which leads to an assessment of quantum cryptography. The field of cryptography and security is undergoing significant change as a result of the potential of scalable quantum computing. In this theoretical paper, the authors examine the development of quantum computing. The authors continue by listing the current threats to cryptographic primitives. Readers can deduce knowledge of a variety of topics from this review article, including risks posed by quantum technologies to traditional cryptography, modern cryptography – private key cryptography, post-quantum cryptography, quantum key distribution, and effects on hash functions and post-quantum cryptography.
The rapid advancement of quantum computing presents a fundamental challenge to modern cryptographic security, particularly in the domain of hash functions that ensure data integrity, authentication, and blockchain security. Traditional crypto graphic hash functions such as SHA-256, SHA-3, and BLAKE2 rely on computational hardness assumptions that become obsolete in the presence of large-scale quantum computers. Shor’s algorithm can efficiently break RSA and ECC-based cryptosys tems, while Grover’s algorithm reduces the security of traditional hash functions by square root complexity, significantly weakening their preimage and collision resistance. This quantum threat necessitates the development of post-quantum secure hashing techniques that remain resilient against both classical and quantum adversaries. This paper proposes Quantum Hashing, a novel cryptographic framework that integrates quantum entanglement, lattice-based cryptography, and hybrid quantum classical hashing to construct post-quantum secure hash functions. We introduce a formal model for Quantum Collision Resistance (QCR) and provide entropy-based ran domness enhancement to ensure unpredictable hash outputs. Unlike classical hashing approaches, our framework leverages the hardness of lattice problems (e.g., Shortest Vector Problem, Learning with Errors) to withstand quantum attacks while incorpo rating Quantum Key Distribution (QKD) mechanisms to enhance entropy and key management. Furthermore, we evaluate the security of Quantum Hashing under various attack models, comparing its resistance against Grover’s search and collision attacks. We benchmark its performance against NIST Post-Quantum Cryptography (PQC) final ists, including CRYSTALS-DILITHIUM, SPHINCS+, and Falcon, demonstrating that our approach offers superior resilience while maintaining computational feasibility. Additionally, we present an implementation of Quantum Hashing using Qiskit, show casing its practical applicability in quantum circuits and quantum-secure blockchain architectures. Our findings highlight that Quantum Hashing provides a scalable, entropy-efficient, and post-quantum resilient cryptographic primitive suitable for next-generation cryptographic applications. This work paves the way for secure post-quantum digital signatures, blockchain consensus mechanisms, and zero-knowledge proof systems that require tamper-resistant hashing in a quantum computing era.