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Resolving spurious topological entanglement entropy in stabilizer codes

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers identified and resolved a critical flaw in topological entanglement entropy (TEE) measurements, which previously overestimated quantum dimensions in 2D gapped systems due to spurious contributions. The team introduced a "concave partition" method for Levin-Wen TEE calculations in translation-invariant stabilizer codes using prime-dimensional qudits, proving it eliminates false entropy signals. A rigorous mathematical proof confirms this approach removes all spurious TEE contributions, providing an accurate diagnostic tool for topological order in quantum error-correcting codes. Complementary research on bivariate bicycle codes revealed that entanglement entropy varies with cylinder circumference, exposing topological frustration in anyonic systems. The work bridges quantum information theory and condensed matter physics, offering new tools to characterize long-range entanglement in both quantum computing architectures and exotic matter phases.
Resolving spurious topological entanglement entropy in stabilizer codes

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Quantum Physics arXiv:2604.27053 (quant-ph) [Submitted on 29 Apr 2026] Title:Resolving spurious topological entanglement entropy in stabilizer codes Authors:Peilun Han, Zijian Liang, Yifei Wang, Bowen Yang, Yingfei Gu, Yu-An Chen View a PDF of the paper titled Resolving spurious topological entanglement entropy in stabilizer codes, by Peilun Han and 4 other authors View PDF HTML (experimental) Abstract:Topological entanglement entropy (TEE) is a key diagnostic of long-range entanglement in two-dimensional gapped phases of matter, but it can suffer from spurious contributions that overestimate the total quantum dimension of the underlying topological order. In this work, we identify the microscopic origin of spurious TEE and introduce a concave partition for computing the Levin-Wen TEE of translation-invariant stabilizer codes of prime-dimensional qudits. We rigorously prove that this prescription is free of spurious contributions. As a complementary probe, we study bivariate bicycle codes on a bipartite cylinder and show that the entanglement entropy depends sensitively on the cylinder circumference, revealing topological frustration of the underlying anyons. Comments: Subjects: Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el); Quantum Algebra (math.QA) Cite as: arXiv:2604.27053 [quant-ph] (or arXiv:2604.27053v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.27053 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Peilun Han [view email] [v1] Wed, 29 Apr 2026 18:00:02 UTC (1,812 KB) Full-text links: Access Paper: View a PDF of the paper titled Resolving spurious topological entanglement entropy in stabilizer codes, by Peilun Han and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 Change to browse by: cond-mat cond-mat.str-el math math.QA 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?)

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Source: arXiv Quantum Physics