Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive
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Quantum Physics arXiv:2606.11455 (quant-ph) [Submitted on 9 Jun 2026] Title:Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive Authors:Amir Kalev, Itay Hen View a PDF of the paper titled Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive, by Amir Kalev and Itay Hen View PDF HTML (experimental) Abstract:We introduce a construction of Pauli Hamiltonians with exactly known ground-state energies, intended as reference instances for ground-state energy estimation algorithms. The construction embeds a planted block-product state as the simultaneous ground state of a sum of frustration-free local clauses on overlapping supports, exposes the resulting model only as a polynomial-size linear combination of Pauli operators, and admits optional Clifford conjugation that preserves the spectrum. The framework subsumes classical planted constraint-satisfaction problems as a diagonal special case, providing a direct embedding channel through which classical hardness properties can be inherited. Open-source software, certification keys, and example instances are made publicly available. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.11455 [quant-ph] (or arXiv:2606.11455v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.11455 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Itay Hen [view email] [v1] Tue, 9 Jun 2026 21:16:01 UTC (99 KB) Full-text links: Access Paper: View a PDF of the paper titled Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive, by Amir Kalev and Itay HenView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)