State Preparation Protocols for Entangled States via Open Quantum Walks

Quantum Physics arXiv:2608.07695 (quant-ph) [Submitted on 7 Aug 2026] Title:State Preparation Protocols for Entangled States via Open Quantum Walks Authors:Pedro Linck, Nadja K. Bernardes View a PDF of the paper titled State Preparation Protocols for Entangled States via Open Quantum Walks, by Pedro Linck and Nadja K. Bernardes View PDF HTML (experimental) Abstract:Open quantum walks couple transitions on a graph to quantum operations on an internal degree of freedom. We use this structure to formulate protocols for quantum state preparation with nonunitary Kraus operators. We construct a ring-shaped OQW preparing an ensemble of Dicke states, with W states appearing as the single-excitation case, from which any individual Dicke state is recovered by postselecting the walker position; its convergence is governed by the spectral gap of the underlying Markov chain, for which we obtain a closed-form approximate expression. For GHZ states we present a two-node protocol using Kraus operators built from projective measurements that prepares them deterministically without requiring a measurement of the walker, and analyze how unsharp measurements affect the results and the convergence of the walk. We also show that the quantum trajectories method embeds naturally in the OQW framework as a graph-structured collision model. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.07695 [quant-ph] (or arXiv:2608.07695v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.07695 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Pedro Linck Maciel [view email] [v1] Fri, 7 Aug 2026 18:38:34 UTC (84 KB) Full-text links: Access Paper: View a PDF of the paper titled State Preparation Protocols for Entangled States via Open Quantum Walks, by Pedro Linck and Nadja K. BernardesView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-08 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?)