On the robustness of Quantum Phase Estimation to compute ground properties of many-electron systems

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Quantum Physics arXiv:2601.05788 (quant-ph) [Submitted on 9 Jan 2026] Title:On the robustness of Quantum Phase Estimation to compute ground properties of many-electron systems Authors:Wassil Sennane, Jérémie Messud View a PDF of the paper titled On the robustness of Quantum Phase Estimation to compute ground properties of many-electron systems, by Wassil Sennane and 1 other authors View PDF Abstract:We propose an analysis of the Quantum Phase Estimation (QPE) algorithm applied to electronic systems by investigating its free parameters such as the time step, number of phase qubits, initial state preparation, number of measurement shots, and parameters related to the unitary operators implementation. A deep understanding of these parameters is crucial to pave the way towards more automation of QPE applied to predictive computational chemistry and material science. To our knowledge, various aspects remain unexplored and a holistic parameter selection method remains to be developed. After reviewing key QPE features, we propose a constructive method to set the QPE free parameters. We derive, among other things, explicit conditions for achieving chemical accuracy in ground energy estimation. We also demonstrate that, using our conditions, the complexity of the Trotterized version of QPE tends to depend only on physical system properties and not on the number of phase qubits. Numerical simulations on the H2 molecule provide a first validation of our approach. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.05788 [quant-ph] (or arXiv:2601.05788v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.05788 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jeremie Messud Dr [view email] [v1] Fri, 9 Jan 2026 13:27:07 UTC (2,121 KB) Full-text links: Access Paper: View a PDF of the paper titled On the robustness of Quantum Phase Estimation to compute ground properties of many-electron systems, by Wassil Sennane and 1 other authorsView PDFTeX 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?)
