Superadditivity of Zero-Error Capacity in Noisy Classical and Perfect Quantum Channel Pairs
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Quantum Physics arXiv:2601.08913 (quant-ph) [Submitted on 13 Jan 2026] Title:Superadditivity of Zero-Error Capacity in Noisy Classical and Perfect Quantum Channel Pairs Authors:Ambuj, Anushko Chattopadhyay, Kunika Agarwal, Rakesh Das, Amit Mukherjee View a PDF of the paper titled Superadditivity of Zero-Error Capacity in Noisy Classical and Perfect Quantum Channel Pairs, by Ambuj and 4 other authors View PDF HTML (experimental) Abstract:We demonstrate superadditivity of one-shot zero-error classical capacity in an asymmetric communication setting where a noisy classical channel is used in parallel with a perfect quantum channel. Each channel individually supports only a fixed number of perfectly distinguishable messages. Their joint use enables transmission of strictly more messages than permitted by the product of the individual capacities. We present explicit constructions achieving this enhancement and establish that replacing the perfect quantum channel with a perfect classical channel eliminates the effect. Finally, we identify a structural criterion on the noisy channel governing this effect and show that the quantum advantage is rooted in Kochen-Specker contextuality. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.08913 [quant-ph] (or arXiv:2601.08913v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.08913 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Ambuj Kumar [view email] [v1] Tue, 13 Jan 2026 19:00:08 UTC (77 KB) Full-text links: Access Paper: View a PDF of the paper titled Superadditivity of Zero-Error Capacity in Noisy Classical and Perfect Quantum Channel Pairs, by Ambuj and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 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?)