Quantum Hashing: A Theoretical Framework for Post-Quantum Secure Data Structures

Quantum Hashing: A Theoretical Framework for Post-Quantum Secure Data Structures | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 9 April 2025 V1 Latest version Share on Quantum Hashing: A Theoretical Framework for Post-Quantum Secure Data Structures Author : Pulkit Sharma 0009-0008-8110-9652 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174422643.36695653/v1 534 views 152 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract 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. Supplementary Material File (quantum hashing a theoretical framework for post quantum secure data structures by pulkit sharma.pdf) Download 297.22 KB Information & Authors Information Version history V1 Version 1 09 April 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords communication, networking and broadcast technologies computing and processing Authors Affiliations Pulkit Sharma 0009-0008-8110-9652 [email protected] Independent Researcher View all articles by this author Metrics & Citations Metrics Article Usage 534 views 152 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Pulkit Sharma. Quantum Hashing: A Theoretical Framework for Post-Quantum Secure Data Structures. Authorea . 09 April 2025. DOI: https://doi.org/10.22541/au.174422643.36695653/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. 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