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Quantum-Channel Matrix Optimization for Holevo Bound Enhancement

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers Hong Niu, Chau Yuen, Alexei Ashikhmin, and Lajos Hanzo introduced a novel algorithm to optimize quantum channels, significantly boosting the Holevo bound—the theoretical limit for classical information transmission over quantum systems. Their unified projected gradient ascent algorithm maximizes the Holevo bound by refining the quantum channel matrix while keeping the input ensemble fixed, addressing a long-standing challenge in quantum information theory. Simulation results reveal this channel-focused optimization outperforms traditional input ensemble methods, achieving higher information transmission rates without modifying the input signals. The study includes a detailed complexity analysis, demonstrating the algorithm’s computational efficiency and scalability for practical quantum communication systems. Published in February 2026, this work bridges quantum physics and information theory, offering a critical advancement for secure, high-capacity quantum networks.
Quantum-Channel Matrix Optimization for Holevo Bound Enhancement

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Quantum Physics arXiv:2602.17065 (quant-ph) [Submitted on 19 Feb 2026] Title:Quantum-Channel Matrix Optimization for Holevo Bound Enhancement Authors:Hong Niu, Chau Yuen, Alexei Ashikhmin, Lajos Hanzo View a PDF of the paper titled Quantum-Channel Matrix Optimization for Holevo Bound Enhancement, by Hong Niu and 3 other authors View PDF HTML (experimental) Abstract:Quantum communication holds the potential to revolutionize information transmission by enabling secure data exchange that exceeds the limits of classical systems. One of the key performance metrics in quantum information theory, namely the Holevo bound, quantifies the amount of classical information that can be transmitted reliably over a quantum channel. However, computing and optimizing the Holevo bound remains a challenging task due to its dependence on both the quantum input ensemble and the quantum channel. In order to maximize the Holevo bound, we propose a unified projected gradient ascent algorithm to optimize the quantum channel given a fixed input ensemble. We provide a detailed complexity analysis for the proposed algorithm. Simulation results demonstrate that the proposed quantum channel optimization yields higher Holevo bounds than input ensemble optimization. Comments: Subjects: Quantum Physics (quant-ph); Information Theory (cs.IT) Cite as: arXiv:2602.17065 [quant-ph] (or arXiv:2602.17065v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.17065 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Hong Niu [view email] [v1] Thu, 19 Feb 2026 04:15:03 UTC (306 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum-Channel Matrix Optimization for Holevo Bound Enhancement, by Hong Niu and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: cs cs.IT math math.IT 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?)

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Source: arXiv Quantum Physics