Entanglement of superpositions in zero-energy subspace: insights from stabilizer theory

Quantum Physics arXiv:2610.20846 (quant-ph) [Submitted on 14 Oct 2026] Title:Entanglement of superpositions in zero-energy subspace: insights from stabilizer theory Authors:Konstantin Antipin, Richik Sengupta View a PDF of the paper titled Entanglement of superpositions in zero-energy subspace: insights from stabilizer theory, by Konstantin Antipin and Richik Sengupta View PDF HTML (experimental) Abstract:Exact zero-energy eigenstates built from entangled dimers have recently been found in a large class of spin Hamiltonians. While the individual states have a simple structure, their superpositions can have very different entanglement properties. In this work, we study these superpositions for geometrically local spin-1/2 chains with periodic boundary conditions. Using stabilizer theory and polynomial methods, we characterize the subspace they span and find the minimum entanglement entropy between two halves of the chain. For Hamiltonians generated by a single local Pauli interaction with noncommuting translates, this minimum obeys a volume law at fixed interaction range. The structure of the least-entangled superpositions also suggests further exact eigenstate constructions, including zero-energy states separable between the two halves of the chain and states at nonzero energies. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2610.20846 [quant-ph] (or arXiv:2610.20846v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2610.20846 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Konstantin Antipin [view email] [v1] Wed, 14 Oct 2026 19:31:38 UTC (138 KB) Full-text links: Access Paper: View a PDF of the paper titled Entanglement of superpositions in zero-energy subspace: insights from stabilizer theory, by Konstantin Antipin and Richik SenguptaView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-10 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?)