Thermal lifetime of the centralized repetition code: From quantum annealing to social dynamics

Quantum Physics arXiv:2609.04408 (quant-ph) [Submitted on 3 Sep 2026] Title:Thermal lifetime of the centralized repetition code: From quantum annealing to social dynamics Authors:Ari Mizel, Van Molino View a PDF of the paper titled Thermal lifetime of the centralized repetition code: From quantum annealing to social dynamics, by Ari Mizel and Van Molino View PDF HTML (experimental) Abstract:There is an extensive body of research probing the potential of adiabatic quantum computation and quantum annealing to solve hard computational problems.

This research endeavor is complicated by noise afflicting hardware during the computational process. An error-correcting approach called quantum annealing correction (QAC) was suggested to mitigate this noise. The QAC approach employs a centralized version of the repetition code in which the qubits are configured in a star-graph pattern with one special qubit playing the role of the hub. In this paper, we explore the thermal physics of the centralized repetition code, using a Lindblad equation framework to analyze its lifetime when coupled to a thermal bath. We show that its centralized configuration leads to thermal stability, enabling the robust storage of a logical bit of information, despite the fact that there is only 1 ferromagnetic Ising interaction per qubit like a 1-dimensional Ising chain. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2609.04408 [quant-ph] (or arXiv:2609.04408v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2609.04408 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Ari Mizel [view email] [v1] Thu, 3 Sep 2026 19:17:36 UTC (632 KB) Full-text links: Access Paper: View a PDF of the paper titled Thermal lifetime of the centralized repetition code: From quantum annealing to social dynamics, by Ari Mizel and Van MolinoView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-09 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?)