Certifying the dimensionality of any quantum channel with minimal assumptions

Quantum Physics arXiv:2511.10758 (quant-ph) [Submitted on 13 Nov 2025] Title:Certifying the dimensionality of any quantum channel with minimal assumptions Authors:Saheli Mukherjee, Bivas Mallick, Pratik Ghosal View a PDF of the paper titled Certifying the dimensionality of any quantum channel with minimal assumptions, by Saheli Mukherjee and 2 other authors View PDF HTML (experimental) Abstract:High-dimensional entanglement offers significant advantages over low-dimensional ones in various information-processing tasks. However, to harness these advantages, it is crucial that the quantum channels used to store or transmit the subsystems of an entangled system not only preserve entanglement but also maintain its dimensionality above a certain threshold. The maximum entanglement dimension that a channel can preserve is referred to as its effective dimensionality, since the channel cannot be used to transmit information of dimension greater than that in a single use. In this work, we present a method to certify whether a quantum channel can preserve entanglement dimension above a given threshold. Unlike existing approaches, our method is faithful -- it can be applied to any channel, and avoids common assumptions such as reliable preparation of entangled states, auxiliary side channels, or perfect measurement devices. Moreover, the method can be extended to faithfully certify other classes of non-resource-breaking channels, such as non-NPT-breaking channels. Finally, we discuss possible experimental realizations of our certification scheme through explicit examples. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.10758 [quant-ph] (or arXiv:2511.10758v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.10758 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Saheli Mukherjee [view email] [v1] Thu, 13 Nov 2025 19:22:48 UTC (209 KB) Full-text links: Access Paper: View a PDF of the paper titled Certifying the dimensionality of any quantum channel with minimal assumptions, by Saheli Mukherjee and 2 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?)