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Post-quantum Cryptography Survey Maps Foundations to Practice, Enabling ML-KEM, ML-DSA, and SLH-DSA Deployment

Rohail T.
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⚡ Quantum Brief
The increasing threat posed by quantum computers necessitates a shift towards post-quantum cryptography, and a comprehensive understanding of available solutions is now critical. Gaurab Chhetri, Shriyank Somvanshi, and Pavan Hebli, from Texas State University, along with Shamyo Brotee and Subasish Das, address this urgent need with a detailed survey of the field. Their work maps the landscape of post-quantum cryptographic approaches, from foundational principles to practical deployment strategies, and systematically categorises algorithms based on their underlying mathematical problems. This research is significant because it provides a vital resource for both academics and industry professionals, bridging the gap between emerging standards
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Computer Science > Cryptography and Security arXiv:2510.10436 (cs) [Submitted on 12 Oct 2025] Title:Post-Quantum Cryptography and Quantum-Safe Security: A Comprehensive Survey Authors:Gaurab Chhetri, Shriyank Somvanshi, Pavan Hebli, Shamyo Brotee, Subasish Das View a PDF of the paper titled Post-Quantum Cryptography and Quantum-Safe Security: A Comprehensive Survey, by Gaurab Chhetri and Shriyank Somvanshi and Pavan Hebli and Shamyo Brotee and Subasish Das View PDF HTML (experimental) Abstract:Post-quantum cryptography (PQC) is moving from evaluation to deployment as NIST finalizes standards for ML-KEM, ML-DSA, and SLH-DSA. This survey maps the space from foundations to practice. We first develop a taxonomy across lattice-, code-, hash-, multivariate-, isogeny-, and MPC-in-the-Head families, summarizing security assumptions, cryptanalysis, and standardization status. We then compare performance and communication costs using representative, implementation-grounded measurements, and review hardware acceleration (AVX2, FPGA/ASIC) and implementation security with a focus on side-channel resistance. Building upward, we examine protocol integration (TLS, DNSSEC), PKI and certificate hygiene, and deployment in constrained and high-assurance environments (IoT, cloud, finance, blockchain). We also discuss complementarity with quantum technologies (QKD, QRNGs) and the limits of near-term quantum computing. Throughout, we emphasize crypto-agility, hybrid migration, and evidence-based guidance for operators. We conclude with open problems spanning parameter agility, leakage-resilient implementations, and domain-specific rollout playbooks. This survey aims to be a practical reference for researchers and practitioners planning quantum-safe systems, bridging standards, engineering, and operations. Comments: Subjects: Cryptography and Security (cs.CR) Cite as: arXiv:2510.10436 [cs.CR] (or arXiv:2510.10436v1 [cs.CR] for this version) https://doi.org/10.48550/arXiv.2510.10436 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Gaurab Chhetri [view email] [v1] Sun, 12 Oct 2025 04:00:01 UTC (2,299 KB) Full-text links: Access Paper: View a PDF of the paper titled Post-Quantum Cryptography and Quantum-Safe Security: A Comprehensive Survey, by Gaurab Chhetri and Shriyank Somvanshi and Pavan Hebli and Shamyo Brotee and Subasish DasView PDFHTML (experimental)TeX Source view license Current browse context: cs.CR new | recent | 2025-10 Change to browse by: cs References & Citations NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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quantum-computing
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