Relativistic Quantum-Speed Limit for Gaussian Systems and Prospective Experimental Verification

Quantum Physics arXiv:2511.20707 (quant-ph) [Submitted on 24 Nov 2025] Title:Relativistic Quantum-Speed Limit for Gaussian Systems and Prospective Experimental Verification Authors:Salman Sajad Wani, Aatif Kaisar Khan, Saif Al-Kuwari, Mir Faizal View a PDF of the paper titled Relativistic Quantum-Speed Limit for Gaussian Systems and Prospective Experimental Verification, by Salman Sajad Wani and 3 other authors View PDF HTML (experimental) Abstract:Timing and phase resolution in satellite QKD, kilometre-scale gravitational-wave detectors, and space-borne clock networks hinge on quantum-speed limits (QSLs), yet benchmarks omit relativistic effects for coherent and squeezed probes. We derive first-order relativistic corrections to the Mandelstam-Tamm and Margolus-Levitin bounds. Starting from the Foldy-Wouthuysen expansion and treating $-p^{4}/(8 m^{3} c^{2})$ as a harmonic-oscillator perturbation, we propagate Gaussian states to obtain closed-form QSLs and the quantum Cramér-Rao bound. Relativistic kinematics slow evolution in an amplitude- and squeezing-dependent way, increase both bounds, and introduce an $\epsilon^{2} t^{2}$ phase drift that weakens timing sensitivity while modestly increasing the squeeze factor. A single electron ($\epsilon \approx 1.5\times 10^{-10}$) in a $5.4\,\mathrm{T}$ Penning trap, read out with $149\,\mathrm{GHz}$ quantum-limited balanced homodyne, should reveal this drift within $\sim 15\,\mathrm{min}$ -- within known hold times. These results benchmark relativistic corrections in continuous-variable systems and point to an accessible test of the quantum speed limit in high-velocity or strong-field regimes. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.20707 [quant-ph] (or arXiv:2511.20707v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.20707 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Physics Letters A, 2025, 131147, ISSN 0375-9601 Related DOI: https://doi.org/10.1016/j.physleta.2025.131147 Focus to learn more DOI(s) linking to related resources Submission history From: Salman Wani Mr [view email] [v1] Mon, 24 Nov 2025 21:48:36 UTC (825 KB) Full-text links: Access Paper: View a PDF of the paper titled Relativistic Quantum-Speed Limit for Gaussian Systems and Prospective Experimental Verification, by Salman Sajad Wani and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?) 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?)