Detectability Limits for Intra-Block Temporal Drift in Finite-Key Entanglement-Based QKD
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Quantum Physics arXiv:2605.24230 (quant-ph) [Submitted on 22 May 2026] Title:Detectability Limits for Intra-Block Temporal Drift in Finite-Key Entanglement-Based QKD Authors:Rafael Duarte Marcelino, Julio Smanioto Garcia, Matheus Rufino View a PDF of the paper titled Detectability Limits for Intra-Block Temporal Drift in Finite-Key Entanglement-Based QKD, by Rafael Duarte Marcelino and 2 other authors View PDF HTML (experimental) Abstract:We study the statistical detectability of intra-block temporal drift in finite-key entanglement-based quantum key distribution, with particular relevance to E91-type parameter estimation and monitoring. Drift is modeled as a mean-preserving Lipschitz perturbation of Bernoulli observables, capturing structured temporal variation that is invisible to global-average tests. For a block of size $n$ and confidence levels $(\alpha,\beta)$, we formulate a minimax hypothesis-testing problem and define the minimal detectable amplitude. We derive matching lower and upper bounds yielding $\delta_{\min}(n,\alpha,\beta)=\Theta(n^{-1/2})$: if $n\delta^2 \to 0$, no level-$\alpha$ procedure can guarantee nontrivial uniform power over the admissible drift class, whereas a calibrated CUSUM statistic detects drift at the matching scale. Explicit constants for linear, sinusoidal, and step profiles, together with simulations, confirm the predicted scaling collapse. The result quantifies a finite-block monitoring-resolution limit and is distinct from composable security certification. Comments: Subjects: Quantum Physics (quant-ph) MSC classes: 81P94, 62G10, 62L10 ACM classes: E.3; G.3 Cite as: arXiv:2605.24230 [quant-ph] (or arXiv:2605.24230v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.24230 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Rafael Duarte Marcelino [view email] [v1] Fri, 22 May 2026 21:18:46 UTC (516 KB) Full-text links: Access Paper: View a PDF of the paper titled Detectability Limits for Intra-Block Temporal Drift in Finite-Key Entanglement-Based QKD, by Rafael Duarte Marcelino and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 References & Citations INSPIRE HEP 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?) 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?)