Geometric Parameterization of Kraus Operators with Applications to Quasi Inverse Channels for Multi Qubit Systems
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Quantum Physics arXiv:2512.00577 (quant-ph) [Submitted on 29 Nov 2025] Title:Geometric Parameterization of Kraus Operators with Applications to Quasi Inverse Channels for Multi Qubit Systems Authors:Zain Ateeq, Muhammad Faryad View a PDF of the paper titled Geometric Parameterization of Kraus Operators with Applications to Quasi Inverse Channels for Multi Qubit Systems, by Zain Ateeq and Muhammad Faryad View PDF HTML (experimental) Abstract:This work presents a differentiable geometric parameterization of quantum channels in Kraus representation, which can be efficiently probed to find an unknown quantum channel. We explore its feasibility in finding the quasi inverse channels, which can be a tedious analytically for complex noise processes and is often achievable only for a limited range of parameters. In this regard, machine learning based algorithms have been employed successfully to find quasi inverse of quantum channels. The space of quantum channels in this scheme is a unit hypersphere, and components of mutually constrained unit vectors residing in this space, are used to construct a physically valid quantum channel. Symplectic constraints, orthogonality, and unit length of the vectors suffice to maintain complete positivity and the trace-preserving property of the channels. By performing gradient descent on this parametric space with a fidelity-based loss function, this approach is found to optimize quasi inverse of a variety of quantum channels, not limited to single-qubits, proving its effectiveness. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.00577 [quant-ph] (or arXiv:2512.00577v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.00577 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Muhammad Faryad [view email] [v1] Sat, 29 Nov 2025 18:08:20 UTC (43 KB) Full-text links: Access Paper: View a PDF of the paper titled Geometric Parameterization of Kraus Operators with Applications to Quasi Inverse Channels for Multi Qubit Systems, by Zain Ateeq and Muhammad FaryadView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)