Inverse Laplace and Mellin integral transforms modified for use in quantum communications
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Quantum Physics arXiv:2604.07787 (quant-ph) [Submitted on 9 Apr 2026] Title:Inverse Laplace and Mellin integral transforms modified for use in quantum communications Authors:Gustavo Alvarez, Igor Kondrashuk View a PDF of the paper titled Inverse Laplace and Mellin integral transforms modified for use in quantum communications, by Gustavo Alvarez and 1 other authors View PDF HTML (experimental) Abstract:Integral transformations are useful mathematical tool to work out signals and wave-packets in electronic devices. They may be used in software protocols. Necessary knowledge may come from quantum field theory, in particular from quantum chromodynamics, in which the optic theorem and the renormalization group equation can be solved by a unique contour integral written in two different "dual" ways related between themselves by a complex map in the complex plane of Mellin variable. The inverse integral transformation should be modified to be applied for these contour integral solutions. These modified inverse transformations may be used in security protocols for quantum computers. Here we do a brief review of the basic integral transforms and propose their modification for the extended domains. Comments: Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) MSC classes: 44A15, 44A20, 81T13, 30E20, 81T60, 44A60, 44A20, 33B15, 44A10, 45K05, 81Q40, 46N50 ACM classes: H.1.1 Cite as: arXiv:2604.07787 [quant-ph] (or arXiv:2604.07787v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.07787 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Igor Kondrashuk [view email] [v1] Thu, 9 Apr 2026 04:29:19 UTC (91 KB) Full-text links: Access Paper: View a PDF of the paper titled Inverse Laplace and Mellin integral transforms modified for use in quantum communications, by Gustavo Alvarez and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 Change to browse by: math math-ph math.MP 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?)