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Calculating the quantum Fisher information via the truncated Wigner method

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers Hiranandani, Hope, and Haine introduced a novel method to compute quantum Fisher information (QFI) using semiclassical stochastic sampling via the Truncated Wigner Approximation (TWA), published in March 2026. This approach enables efficient calculation of fundamental sensitivity limits for quantum systems modelable with TWA, expanding analysis to previously inaccessible states, including those beyond spin-squeezing regimes. The method overcomes limitations of traditional techniques like the method of moments, demonstrated through examples where existing frameworks fail to provide accurate QFI estimates. By leveraging phase-space simulations, the technique bridges classical and quantum estimation, offering a scalable tool for quantum metrology and parameter estimation in complex systems. The work enhances practical applications in quantum sensing and precision measurements, particularly for systems where exact quantum simulations are computationally prohibitive.
Calculating the quantum Fisher information via the truncated Wigner method

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Quantum Physics arXiv:2603.29196 (quant-ph) [Submitted on 31 Mar 2026] Title:Calculating the quantum Fisher information via the truncated Wigner method Authors:Thakur G. M. Hiranandani, Joseph J. Hope, Simon A. Haine View a PDF of the paper titled Calculating the quantum Fisher information via the truncated Wigner method, by Thakur G. M. Hiranandani and Joseph J. Hope and Simon A. Haine View PDF Abstract:In this work, we propose new methods of parameter estimation using stochastic sampling quantum phase-space simulations. We show that it is possible to compute the quantum Fisher information (QFI) from semiclassical stochastic samples using the Truncated Wigner Approximation (TWA). This method extends the class of quantum systems whose fundamental sensitivity limit can be computed efficiently to any system that can be modelled using the TWA, allowing the analysis of more meteorologically useful quantum states. We illustrate this approach with examples, including a system that evolves outside the spin-squeezing regime, where the method of moments fails. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.29196 [quant-ph] (or arXiv:2603.29196v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.29196 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Simon Haine [view email] [v1] Tue, 31 Mar 2026 03:03:28 UTC (595 KB) Full-text links: Access Paper: View a PDF of the paper titled Calculating the quantum Fisher information via the truncated Wigner method, by Thakur G. M. Hiranandani and Joseph J. Hope and Simon A. HaineView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-03 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